Sullivan: Precalculus Enhanced with Graphing Utilities 6th Edition

Michael Sullivan’s time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. The Enhanced with Graphing Utilities Series has evolved to meet today’s course needs by integrating the usage of graphing calculator, active-learning, and technology in new ways to help students be successful in their course, as well as in their future endeavors.

In the Sixth Edition, new worksheets in MyMathLab—developed from the authors’ experience in the classroom—provide mixed review for students who having trouble reconciling various topics, and also give students an opportunity to show their work. The “Are You Prepared?” section openers focus on students mastering the prerequisite material before beginning a new topic, and for the first time, those exercises are assignable in MyMathLab. Concept and Vocabulary exercises are also now assignable in MyMathLab as reading quizzes.

Contents

• 1. Graphs
• 2. Functions and Their Graphs
• 3. Linear and Quadratic Functions
• 4. Polynomial and Rational Functions
• 5. Exponential and Logarithmic Functions
• 6. Trigonometric Functions
• 7. Analytic Trigonometry
• 8. Applications of Trigonometric Functions
• 9. Polar Coordinates; Vectors
• 10. Analytic Geometry
• 11. Systems of Equations and Inequalities
• 12. Sequences; Induction; the Binomial Theorem
• 13. Counting and Probability
• 14. A Preview of Calculus: The Limit, Derivative, and Integral of a Function
• Appendix A. Review
• Appendix B. The Limit of a Sequence; Infinite Series
• Answers
• Index

Key Features

• Just-in-time review begins all sections to prepare students for the topics ahead.
• Section-level guidance in each section helps students master the material and develop their problem-solving skills.
• Assess Your Understanding appears at the end of every section and contains a variety of problems for students to master the skills they need.
• Chapter Reviews at the end of each chapter offer a variety of convenient tools for reference and review.

New To This Edition

• Worksheets—developed from the authors’ experience in the classroom—provide mixed review for students who having trouble reconciling various topics, and also give students an opportunity to show their work.
• Prebuilt quizzes for the Are You Prepared? questions are now assignable in MyMathLab.
• Concept and Vocabulary exercises are now assignable in MyMathLab as reading quizzes and updated
• Author-Solves-It MathXL Videos show Mike Sullivan III working by section through MathXL exercises typically requested by students for more explanation or tutoring. These videos are a result of Sullivan’s experiences in teaching online courses.
• Ready-to-Go MyMathLab courses are pre-built MyMathLab courses that make the start-up time for building your course quick and easy.
• Interactive Figures are now available in MyMathLab, enabling users to manipulate figures to bring hard-to-convey math concepts to life.
• Author-designated sample homework problems are available in MyMathLab for quick and easy assignment creation.

About the Authors

• Michael Sullivan, Emeritus Professor of Mathematics at Chicago State University, received a Ph.D. in mathematics from the Illinois Institute of Technology. Mike taught at Chicago State for 35 years before recently retiring. He is a native of Chicago’s South Side and divides his time between a home in Oak Lawn IL and a condo in Naples FL.
• Mike Sullivan III is a professor of mathematics at Joliet Junior College. He holds graduate degrees from DePaul University in both mathematics and economics. Mike is an author or co-author on more than 20 books, including a statistics book and a developmental mathematics series. Mike is the father of three children and an avid golfer who tries to spend as much of his limited free time as possible on the golf course.

Book Details

• Hardcover: 1152 pages
• Publisher: Addison Wesley; 6 edition (February 13, 2012)
• Language: English
• ISBN-10: 0321795466
• ISBN-13: 978-0321795465
• Product Dimensions: 11.1 x 8.8 x 1.7 inches

List Price: $192.67 

Bittinger: Precalculus: Graphs & Models 5th Edition

The Graphs and Models series by Bittinger, Beecher, Ellenbogen, and Penna is known for helping students “see the math” through its focus on visualization and technology. These texts continue to maintain the features that have helped students succeed for years: focus on functions, visual emphasis, side-by-side algebraic and graphical solutions, and real-data applications.

With the Fifth Edition, visualization is taken to a new level with technology, and students find more ongoing review. New interactive figures in MyMathLab help students allow for hands-on manipulation to gain understanding of difficult concepts. The authors also integrate smartphone apps to encourage students to visualize the math. In addition, ongoing review has been added with new Mid-Chapter Mixed Review exercise sets and new Study Guide summaries to help students prepare for tests. MyMathLab has been expanded so that the online content is even more integrated with the text’s approach, with the addition of new videos and exercise sets, and new functionality.

Contents

• 1. Graphs, Functions, and Models
• 2. More on Functions
• 3. Quadratic Functions and Equations; Inequalities
• 4. Polynomial and Rational Functions
• 5. Exponential and Logarithmic Functions
• 6. The Trigonometric Functions
• 7. Trigonometric Identities, Inverse Functions, and Equations
• 8. Applications of Trigonometry
• 9. Systems of Equations and Matrices
• 10. Analytic Geometry Topics
• 11. Sequences, Series, and Combinatorics
• Photo Credits
• Answers
• Index of Applications
• Index

Key Features

• Functions appear early and are integrated throughout the text, reflecting the authors’ belief that functions are best taught as a theme of the course, not as an isolated topic.
• The visual approach of the authors enables students to “see the math” and quickly make connections between concepts.
• Ongoing review features throughout the text reinforce the concepts and help students build understanding.
• Making connections is an important part of successfully learning and retaining math concepts, so the authors draw connections throughout the text.

New To This Edition

• Mid-Chapter Mixed Review exercises offer ongoing review, with one-page mixed review sets at logical breaks in the chapter, helping students reinforce their understanding of the concepts.
• Study Guides have been added to the Summary and Review,giving students a built-in study aid when reviewing and preparing for tests.In MyMathLab these are accompanied by narrated examples to reinforce the key concepts and ideas.
• Section 2.4, formerly Symmetry and Transformations, is split into two sections to make it easier for instructors to cover and for students to absorb.
• Graphing Calculator iPhone™ app from Appcylon is featured in the text and margins, where appropriate, throughout the book.
• TI MathPrint screens are now used throughout the text and the Graphing Calculator Manual, showing clear, accurate representations of the popular graphing calculators.
• All study tips are now available in a Guide to Success located at the beginning of the book.
• MyMathLab delivers proven results in helping individual students succeedand includes the following enhancements new to this edition.

About the Authors

• Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University–Purdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife, Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.
• Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University–Purdue University Indianapolis. In addition to her career in textbook publishing, she spends time traveling, enjoying her grandchildren, and promoting charity projects for a children's camp.
• David Ellenbogen has taught math at the college level for twenty-two years, spending most of that time in the Massachusetts and Vermont community college systems, where he has served on both curriculum and developmental math committees. He has also taught at St. Michael's College and The University of Vermont. Professor Ellenbogen has been active in the Mathematical Association of Two Year Colleges since 1985, having served on its Developmental Mathematics Committee and as a delegate, and has been a member of the Mathematical Association of America since 1979. He has authored dozens of publications on topics ranging from prealgebra to calculus and has delivered lectures at numerous conferences on the use of language in mathematics. Professor Ellenbogen received his BA in mathematics from Bates College and his MA in community college mathematics education from The University of Massachusetts at Amherst. A co-founder of the Colchester Vermont Recycling Program, Professor Ellenbogen has a deep love for the environment and the outdoors, especially in his home state of Vermont. In his spare time, he enjoys playing keyboard in the band Soularium, volunteering as a community mentor, hiking, biking, and skiing. He has two sons, Monroe and Zack.
• Judy Penna received her undergraduate degree in mathematics from Kansas State University and her graduate degree in mathematics from the University of Illinois. Since then, she has taught at Indiana University–Purdue University Indianapolis and at Butler University, and continues to focus on writing quality textbooks for undergraduate mathematics students. In her free time she likes to travel, read, knit, and spend time with her children.

Book Details

• Hardcover: 1120 pages
• Publisher: Addison Wesley; 5 edition (January 29, 2012)
• Language: English
• ISBN-10: 0321783964
• ISBN-13: 978-0321783967
• Product Dimensions: 10.1 x 8.1 x 1.6 inches

List Price: $192.67 

 

Lial: Precalculus 5th Edition

Precalculus, Fifth Edition, by Lial, Hornsby, Schneider, and Daniels, engages and supports students in the learning process by developing both the conceptual understanding and the analytical skills necessary for success in mathematics. With the Fifth Edition, the authors recognize that students are learning in new ways, and that the classroom is evolving. The Lial team is now offering a new suite of resources to support today’s instructors and students.

New co-author Callie Daniels has experience in all classroom types including traditional, hybrid and online courses, which has driven the new MyMathLab features. For example, MyNotes provide structure for student note-taking, and Interactive Chapter Summaries allow students to quiz themselves in interactive examples on key vocabulary, symbols and concepts. Daniels’ experience, coupled with the long-time successful approach of the Lial series, has helped to more tightly integrate the text with online learning than ever before.

Contents

• 1. Equations and Inequalities
• 2. Graphs and Functions
• 3. Polynomial and Rational Functions
• 4. Inverse, Exponential, and Logarithmic Functions
• 5. Trigonometric Functions
• 6. The Circular Functions and Their Graphs
• 7. Trigonometric Identities and Equations
• 8. Applications of Trigonometry
• 9. Systems and Matrices
• 10. Analytic Geometry
• 11. Further Topics in Algebra
• Appendix A. Polar Form of Conic Sections
• Appendix B. Rotation of Axes
• Appendix C. Geometry Formulas
• Glossary
• Solutions to Selected Exercises
• Answers to Selected Exercises
• Index of Applications
• Index
• Photo Credits

Key Features

• Support for All Classroom Types: a complete suite of instructional materials makes it easier for instructors to prepare for the course, and leads to student success. Updates to MyMathLab® and MathXL® are an integral part of supporting instructors and student success in today’s classroom.
• Support for Learning Concepts: a systematic approach is used to present each topic, and is designed to actively engage students in the learning process. As a result, students develop both the conceptual understanding and the analytical skills necessary for success.
• Support for Practicing Concepts: the variety of exercise types promotes understanding of the concepts and reduces the opportunity for rote memorization.
• Support for Review and Test Preparation: ample opportunities for review are interspersed within chapters and found at the end of chapters.

New To This Edition

• The exercise sets offer many new and modified exercises, with updated real life data throughout.
• Numbered and Example references within the text are set in the same font as the figure and bold print for the example, helping visual learners identify and connect them.
• The “drop down” style is used whenever appropriate to distinguish between simplifying expressions and solving equations.
• Explanatory side comments are increased to guide students through the steps of simplifying and solving problems in the examples.

About the Authors

• Marge Lial has always been interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College. Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.
• When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, both of his goals have been realized. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.
• David Schneider has taught mathematics at universities for over 34 years and has authored 36 books. He has an undergraduate degree in mathematics from Oberlin College and a PhD in mathematics from MIT. During most of his professional career, he was on the faculty of the University of Maryland--College Park. His hobbies include travel, dancing, bicycling, and hiking.
• Callie Daniels has always had a passion for learning mathematics and brings that passion into the classroom with her students. She attended the University of the Ozarks on an athletic scholarship, playing both basketball and tennis. While there, she earned a bachelor’s degree in Secondary Mathematics Education as well as the NAIA Academic All-American Award. She has two master’s degrees: one in Applied Mathematics and Statistics from the University of Missouri-Rolla, the second in Adult Education from the University of Missouri- St. Louis. Her hobbies include watching her sons play sports, riding horses, fishing, shooting photographs, and playing guitar. Her professional interests include improving success in the community college mat

Book Details

• Hardcover: 1200 pages
• Publisher: Addison Wesley; 5 edition (February 23, 2012)
• Language: English
• ISBN-10: 0321783808
• ISBN-13: 978-0321783806
• Product Dimensions: 11 x 8.8 x 1.7 inches

List Price: $192.67 

 

Mathematical Programming for Agricultural, Environmental & Resource Economics

Part 1 Linear Programming.

• Chapter 1 Introductory Concepts And The Graphical Approach To Linear Programming.
• Chapter 2 The Simplex Method To Solving Linear Programming Problems.
• Chapter 3 Sensitivity Analysis Using The Simplex Method And Duality.
• Chapter 4 Farm-Level Linear Programming Models.
• Chapter 5 Transportation And Assignment Models For Food And Agricultural Markets.
• Chapter 6 Natural Resource And Environmental Economics Applications Of Linear Programming.

Part 2 Relaxing The Assumptions Of Linear Programming.

• Chapter 7 Integer And Binary Programming.
• Chapter 8 Optimization Of Nonlinear Functions.
• Chapter 9 Global Approaches To Nonlinear Optimization.
• Chapter 10 Risk Programming Models.
• Chapter 11 Price Endogenous Mathematical Programming Models.
• Chapter 12 Goal Programming.
• Chapter 13 Dynamic Programming.

Index.

Mathematical Programming for Agricultural, Environmental, and Resource Economics educates students on the techniques of mathematical programming and their application to agricultural, resource, and environmental economics problems. This text artfully combines an introductory text in math programming, algebraic and geometric concepts while also presenting differential calculus designed for upper-level undergraduates and graduate students. This text is designed specifically to help students develop the quantitative skills necessary for cutting edge research and techniques.

Key Features

• FREE Risk Solver for Education software accompanies the text!
• Combination of an introductory text in applied mathematical programming with a principle focus on relevant natural resource and environmental issues.
• Designed for upper-level undergraduates and Masters-level graduate students majoring in economics, agricultural economics, environmental and resource economics, applied economics, and applied operations research.
• Applies math programming models to real-world problems confronting agriculture, the environment, and natural resources.
• Includes numerous exercises of varying level of difficulty: 20+ exercises with answers to odd-numbered questions for each chapter.

Book Details

• Hardcover: 494 pages
• Publisher: Wiley; 1 edition (January 18, 2012)
• Language: English
• ISBN-10: 0470599367
• ISBN-13: 978-0470599365
• Product Dimensions: 7.3 x 0.9 x 10 inches

List Price: $108.75 

 

Peterson: Technical Mathematics 4th Edition

• 1. The Real Number System.
• 2. Algebraic Concepts and Operations of Equations.
• 3. Geometry.
• 4. Functions and Graphs.
• 5. An Introduction to Trigonometry and Variation.
• 6. Systems of Linear Equations and Determinants.
• 7. Factoring and Algebraic Fractions.
• 8. Vectors and Trigonometric Functions
• 9. Fractional and Quadratic Equations.
• 10. Graphs of Trigonometric Functions
• 11. Exponents and Radicals.
• 12. Exponential and Logarithmic Functions.
• 13. Statistics and Empirical Methods.
• 14. Complex Numbers.
• 15. An Introduction to Plane Analytic Geometry.
• 16. Computer Number Systems.
• 17. Higher Degree Equations.
• 18. Systems of Equations and Inequalities.
• 19. Matrices.
• 20. Sequences, Series, and the Binomial Formula.
• 21. Trigonometric Formulas, Identities, and Equations.
• 22. An Introduction to Calculus.

Appendix A: The Metric System.

Appendix B: Table of Integrals

Answers to Odd-Numbered Exercises

Index of Applications.

Index.

The following chapters are available in CourseMate:

• 23. The Derivative
• 24. Applications of Derivatives
• 25. Integration
• 26. Applications of Integration
• 27. Derivatives of Transcendental Functions
• 28. Techniques of Integration
• 29. Parametric Equations, Vectors, and Polar Coordinates
• 30. Partial Derivatives and Multiple Integrals
• 31. Infinite Series
• 32. First-Order Differential Equations
• 33. Higher-Order Differential Equations
• 34. Numerical Methods and LaPlace Transforms.

Technical Mathematics 4th Edition provides a thorough review of pre calculus topics ranging from algebra and geometry to trigonometry and analytic geometry, with a strong emphasis on their applications in specific occupations. Students preparing for technical, engineering technology or scientific careers will benefit from the text's breadth of coverage and practical focus, as well as integrated calculator and spreadsheet examples that teach them to solve problems the way professionals do on the job. Written in an easy-to-understand manner, this comprehensive text complements core content with numerous application-oriented exercises and examples to help students apply their knowledge of mathematics and technology to situations they may encounter in their future work.

The Fourth Edition of this proven text includes abundant new material, including a new chapter on computer number systems, integrated coverage of spreadsheets, and new and updated examples and exercises throughout the text. In addition, the text's companion CourseMate and Instructors Web site now feature even more teaching and learning resources for faculty and students, including a powerful new online homework solution as well as 12 bonus chapters of calculus material.

Key Features

• More than 850 examples and 6,000 exercises—many of them application-oriented—provide opportunities for students to solve problems, practice what they have learned, and apply mathematics to situations they can expect to encounter on the job.
• The CourseMate companion Web site contains a wealth of learning tools, including graded homework and student quizzes, selected solutions for students, PowerPoint tutorials, directions for using spreadsheets and different models of calculators, an interactive e-book, skill-building games and puzzles, 12 bonus calculus chapters, and more.
• Initial material on right triangle trigonometry, statistics, the area and volume of irregular shapes, and informal calculus introduces key concepts early to support effective integration in subsequent chapters, as well as exploring complex concepts in an unintimidating way before immersing students in depth.
• The accompanying Instructor Resources CD includes a complete solutions manual with fully worked solutions to every text problem, a computerized test bank, and an image library with helpful illustrations for classroom use, saving you valuable prep time.

New to this edition

• The Fourth Edition includes a new chapter on computer number systems, enhancing the text's strong emphasis on practical, career-related applications of mathematics with material highly relevant to tomorrow's technical professionals.
• The text now features integrated information on how to use spreadsheets as a valuable tool for graphing and solving problems, exposing students to important concepts and practices they are likely to encounter in their careers.
• Calculator examples throughout the text have been updated for use with the TI-84, making it easy for students to follow along step-by-step and apply the techniques on their own using current technology.
• Each chapter now features a list of learning objectives, allowing instructors and students alike to pinpoint the most important ideas, assess learning more effectively, and identify areas for further reinforcement.
• Numerous examples and exercises throughout the text have been added or updated to keep the material interesting and relevant for today's students as they prepare for success in the workplace.

About the Author

• John C. Peterson, Ph.D., is a retired professor of mathematics at Chattanooga State Technical Community College, where he received the college's Teaching Excellence Award. Dr. Peterson is a past vice president of the American Mathematical Association for Two-Year Colleges (AMATYC) and was co-director of the AMATYC project on Mathematics for the Emerging Technologies funded by the National Science Foundation. He also authored the project report, A Vision: Mathematics for the Emerging Technologies. Among Dr. Peterson's 90 professional publications are the textbooks Technical Mathematics And Introductory Technical Mathematics; he is also a consulting editor for Cengage Learning's applied math list. Dr. Peterson holds Bachelor of Arts and Master of Arts degrees from the University of Northern Iowa and a doctor of philosophy degree in mathematics education from The Ohio State University.

Book Details

• Hardcover: 976 pages
• Publisher: Delmar Cengage Learning; 4 edition (2012)
• Language: English
• ISBN-10: 1111540462
• ISBN-13: 978-1111540463
• Product Dimensions: 9.7 x 7.4 x 0.8 inches

List Price: $188.95 

 

Connally: Functions Modeling Change: A Preparation for Calculus 4th Edition, International Student Version

• 1: Linear Functions and Change.
• 2: Functions.
• 3: Exponential Functions.
• 4: Logarithmic Functions.
• 5: Transformations of Functions and Their Graphs.
• 6: Trigonometric Functions.
• 7: Trigonometry
• 8: Compositions, Inverses, and Combinations of Functions.
• 9: Polynomial and Rational Functions.
• 10: Vectors.
• 11: Sequences and Series.
• 12: Parametric Equations and Conic Sections.

The fourth edition of this market-leading text helps instructors motivate concepts, and students develop critical thinking skills. Functions Modeling Change, 4th edition, is designed to accomplish the main goals of the Precalculus course: to build a solid mathematical foundation and prepare students for Calculus. The authors achieve this by focusing on a small number of key topics, thereby emphasizing depth of understanding rather than breadth of coverage. Functions Modeling Change, 4th edition, presents each function symbolically, numerically, graphically and verbally (the Rule of Four). Additionally, a large number of real-world applications, examples, and problems enable students to create mathematical models that relate to the world around them.

Key Features

• Exceptional Problems: Examples and problems based on real data help students create mathematical models to help them understand their world. An appropriate number of drill problems are included to assist students in learning techniques. The problems are varied and some are more challenging. Most cannot be done by following a template in the text.
• Allows for a broad range of teaching styles. This text is flexible enough for use in large lecture halls, small classes, or in group or lab settings.
• Focuses on fewer topics than is customary, but each topic is treated in greater depth. Only those topics essential to the study of calculus are included.
• Reflects the spirit of the standards established by the Mathematical Association of America (MAA) and the American Mathematical Association of Two-Year Colleges (AMATYC), and meets the recommendations of the National Council of Teachers of Mathematics (NCTM).
• Assumes technology has a place in modern mathematics. This text takes full advantage of technology when appropriate, although no specific technology is emphasised. It is important for students to learn how and when to use technology as a tool, as well as its limitations. However the focus of the text is on conceptual understanding not technology.
• The Rule of Four: Each function is represented symbolically, numerically, graphically, and verbally.

New to this edition

• Algebraic Skills Refreshers are introduced in two formats, both integrated with the text:
• Skills Refresher exercises are included at the start of many exercise sets, identified by S1, S2, etc.
• Skills Refresher sections are included at the end of some chapters.
• A new Chapter 3 on Quadratic Functions brings together and expands the material on quadratics in the former Sections 2.6 and 5.5.
• Section 4.4 on Compound Interest and Section 4.5 on the Number e have been reorganized to give instructors more flexibility in deciding how to introduce e.
• Limit Notation has been moved to the end of Section 5.3 to provide additional flexibility in how, or whether, limit notation is introduced.
• A new Section 6.5 on Combining Transformations investigates the effect of varying the order in which transformations are applied to functions and their graphs.
• The material on trigonometry in the former Chapters 6 and 7 has been expanded and reorganized into three chapters, allowing instructors to tailor their approach to the needs of their students.
• Chapter 7 defines the trigonometric functions in circles and triangles.
• Chapter 8 studies the behavior of the trigonometric functions and their graphs, and introduces trigonometric identities, polar coordinates, and complex numbers.
• Chapter 9 investigates trigonometric identities and their applications to modeling.
• Data and problems have been updated and revised as appropriate. Many new problems have been added.

Book Details

• Paperback: 640 pages
• Publisher: John Wiley & Sons; 4th International student edition (February 2011)
• Language: English
• ISBN-10: 0470910402
• ISBN-13: 978-0470910405
• Product Dimensions: 8.5 x 0.9 x 10.4 inches

List Price: $108.00 

 

High Temperature Plasmas 2nd edition: Theory & Mathematical Tools for Laser & Fusion Plasmas

1 Introduction

• 1.1 Quasineutrality and Debye Shielding
• 1.2 Degree of Ionization
• 1.2.1 The Saha Equation
• 1.2.2 Thomson Cross Section and Rate Equation
• 1.2.3 The Corona Formula
• 1.3 Characteristic Parameters
• 1.3.1 Typical Parameters of (Magnetic) Fusion Plasmas
• 1.3.2 Parameters of the Sun
• 1.4 Individual and Collective Effects
• 1.4.1 The Plasma Frequency
• 1.4.2 General Remark on Individual Collisions
• 1.4.3 Collision Frequencies for Momentum and Energy Transfer
• 1.4.4 Friction Force in Thermal Plasmas
• 1.5 Fusion Processes
• 1.5.1 Fusion Processes in Burning Stars

2 Single Particle Motion

• 2.1 Heuristic Approaches to Guiding Center Motion
• 2.2 Systematic Averaging
• 2.2.1 Systematic Averaging over Fast Gyro-Motion
• 2.2.2 Pseudocanonical Transformations
• 2.2.3 Magnetic Moment as the First Adiabatic Invariant
• 2.2.4 On the Second Adiabatic Invariant
• 2.2.5 On the Third Adiabatic Invariant
• 2.2.6 Selected Applications
• 2.3 Motion of a Single Particle (Electron) in an ElectromagneticWave
• 2.4 Lagevin Approach

3 Plasma in Thermodynamic Equilibrium

• 3.1 Basic Approach
• 3.2 A Heuristic Derivation of the Modified Equation of State
• 3.3 The Holtsmark Distribution for Electric Microfields

4 Kinetic Description of Nonequilibrium Plasmas

• 4.1 Historical Remarks on Well-Known Kinetic Equations
• 4.1.1 The Fokker–Planck Equation
• 4.1.2 The Boltzmann Equation
• 4.1.3 The Boltzmann H-Theorem
• 4.1.4 The Boltzmann Entropy
• 4.1.5 Transition to Equilibrium and Maxwellian
• 4.2 BBGKY Hierarchy
• 4.3 Vlasov Equation and Landau Damping
• 4.4 Z-Function and Dispersive Properties of a Collisionless and Unmagnetized Plasma
• 4.5 Landau–Fokker–Planck Equation
• 4.6 Kinetic Description of Strongly Magnetized Plasmas
• 4.6.1 The Drift-Kinetic Equation
• 4.6.2 The Gyrokinetic Approach

5 Fluid Description

• 5.1 Moments and Hierarchy of Moment Equations
• 5.2 Truncation of the Corresponding Hierarchy in the Case of the Boltzmann Equation
• 5.2.1 Hierarchical Form of the First Moment Equations for the Boltzmann Equation
• 5.2.2 Truncation of the Hierarchy, Transport Coefficients, and the Euler Equation
• 5.2.3 Equation of State
• 5.2.4 Sound Wave Dispersion from the Euler Equations
• 5.2.5 Next Order Approximation and Navier–Stokes Equations
• 5.2.6 Simplified Solution with a Krook Collision Term
• 5.3 General Outline and Models for Plasmas
• 5.3.1 General Starting Point
• 5.3.2 Simple Two-Fluid Model in Unmagnetized Plasma
• 5.3.3 Drift Model
• 5.3.4 Braginskii Equations
• 5.4 MHD Model
• 5.4.1 MHD Ordering
• 5.5 Simple MHD Applications
• 5.5.1 Frozen-in Magnetic Field Lines
• 5.5.2 MHD Equilibria
• 5.5.3 Alfvén Waves
• 5.5.4 Energy Conservation in Ideal MHD

6 Principles of Linear and Stochastic Transport

• 6.1 Moments in Linear Transport Theory
• 6.2 The Hydrodynamic Regime in Linear Transport Theory
• 6.3 Summary of Linear Transport Coefficients
• 6.4 Nonlinear Transport Phenomenology
• 6.4.1 Fluctuation Spectra and Transport
• 6.5 Simple Models in Stochastic Transport Theory
• 6.5.1 Description of Stochastic (Magnetic) Fields
• 6.5.2 Symplectic Mappings
• 6.5.3 The Standard Map as a Simple Example for Stochastic Field Line Dynamics
• 6.5.4 Tokamap as a Twist Map with Polar Axis
• 6.6 Basic Statistics for Magnetic Field Lines and Perpendicular Particle Diffusion
• 6.6.1 Correlation Functions for Magnetic Field Fluctuations
• 6.6.2 Elementary Estimates of the Kolmogorov Length LK
• 6.7 Phenomenology of Stochastic Particle Diffusion Theory in Perpendicular Direction
• 6.7.1 Perpendicular Particle Diffusion
• 6.7.2 Test of the Diffusion Predictions with the Standard Map
• 6.7.3 Trapping and Percolation (K > 1)
• 6.8 Stochastic Theory of the Parallel Test Particle Diffusion Coefficient
• 6.8.1 Fundamental Relations for the Parallel Diffusion Coefficient
• 6.8.2 Pitch Angle Diffusion

7 Linear Waves and Instabilities

• 7.1 Waves and Instabilities in the Homogeneous Vlasov Description
• 7.1.1 The Penrose Criterion and Its Cognate Formulations
• 7.1.2 Dispersion in Homogeneous, Magnetized Vlasov Systems
• 7.1.3 Instabilities in Homogeneous Vlasov Systems
• 7.2 Waves and Instabilities in Inhomogeneous Vlasov Systems
• 7.2.1 Stationary Solutions and a Liapunov Stability Criterion
• 7.2.2 Instabilities in Inhomogeneous Vlasov Systems
• 7.3 Waves and Instabilities in the Magnetohydrodynamic Description
• 7.3.1 Hydromagnetic Variational Principle
• 7.3.2 Kink and Sausage Instability
• 7.3.3 Interchange Instability

8 General Theory of Nonlinear Waves and Solitons

• 8.1 Historical Remarks
• 8.1.1 The Water-Wave Paradigm
• 8.2 The Generalized KdV Equation for Ion-Acoustic Solitons
• 8.3 Envelope Solitons
• 8.3.1 Modulational Instability
• 8.3.2 Historical Remark on Envelope Water Solitons
• 8.3.3 Nonlinear Dispersion Relation and Schrödinger Equation
• 8.4 Nonlinear LangmuirWaves
• 8.5 Longitudinal Stability of Generalized Langmuir Solitons
• 8.6 Transverse Instabilities
• 8.6.1 Transverse Instabilities of KdV Solitons
• 8.6.2 Transverse Instability of Envelope Solitons (NLS)
• 8.7 The Collapse Phenomenon and the Existence of Stable 3D Solitons
• 8.7.1 The Collapse Phenomenon
• 8.7.2 Stable Three-Dimensional Envelope Solitons

9 Nonlinear Wave Aspects in Laser–Matter Interaction

• 9.1 History and Perspectives of Laser–Plasma Interaction
• 9.1.1 Areas of Relativistic Optics
• 9.2 Time- and Space-Dependent Maxwell Fluid Models
• 9.2.1 Fully Relativistic Maxwell Electron Fluid Model
• 9.2.2 Fully Relativistic Maxwell Two-Fluid Model
• 9.2.3 1D Propagation in Space-Direction x
• 9.2.4 The Weakly Relativistic Limit
• 9.2.5 The Weakly Relativistic 1D Maxwell Two-Fluid Model
• 9.2.6 The Nonrelativistic Limit
• 9.2.7 One-Field Models
• 9.3 StationaryWave Solutions and Their Stability
• 9.3.1 Fully Relativistic Maxwell Fluid Systems
• 9.3.2 Hamiltonian Formulation for Linearly Polarized Waves
• 9.3.3 Plasma Motion in Linearly PolarizedWaves
• 9.3.4 Influence of Mobile Ions on Stationary Wave Solutions
• 9.3.5 Electron–Positron Plasmas
• 9.3.6 Wave Solutions in Weakly Relativistic Two-Field Models
• 9.3.7 Instability of Stationary Wave Solutions
• 9.4 Parametric Instabilities in the Relativistic Regime
• 9.4.1 Stimulated Raman and Brillouin Scattering in the Classical Regime
• 9.4.2 Stimulated Scattering Instabilities in the Relativistic Regime
• 9.5 Solitary Envelope Solutions and Their Stability
• 9.5.1 The Farina–BulanovModel for Circularly Polarized Solitons
• 9.5.2 Linearly Polarized Solitons of the Maxwell Fluid System
• 9.5.3 Longitudinal Stability of Solitary Envelope Solutions
• 9.5.4 Solitary Envelope Solutions in Higher Dimensions
• 9.6 Wake Field Excitation
• 9.6.1 Excitation of QuasistationaryWake Fields
• 9.6.2 Strongly Relativistic Nonlinear Electrostatic Wake Fields
• 9.7 Breaking of Wake Fields
• 9.7.1 Classical, NonrelativisticWave-Breaking Analysis
• 9.7.2 Relativistic Wave-Breaking Analysis
• 9.7.3 Numerical Results for Wave-Breaking

Appendices

• Appendix A Units
• Appendix B Fourier and Laplace Transforms for Pedestrians
• Appendix C The Inverse Scattering Transform (IST) for Nonlinear Waves
• Appendix D Lie Transform Techniques for Eliminating Fast Variations
• Appendix E Choices of Low-Dimensional Basis Systems
• E.1 Galerkin Approximation
• E.2 Karhunen–Loève Expansion
• E.3 Determination of the Basis Functions in Practice
• Appendix F Center Manifold Theory
• Appendix G Newell–Whitehead Procedure
• Appendix H Liapunov Stability
• Appendix I Variational Principles
• Appendix J Self-Adjointness of the Operator

Appearing in Hydromagnetic Variational Principles

References

Index

 

Filling the gap for a treatment of the subject as an advanced course in theoretical physics with a huge potential for future applications, this monograph discusses aspects of these applications and provides theoretical methods and tools for their investigation. Throughout this coherent and up-to-date work the main emphasis is on classical plasmas at high-temperatures, drawing on the experienced author's specialist background. As such, it covers the key areas of magnetic fusion plasma, laser-plasma-interaction and astrophysical plasmas, while also including nonlinear waves and phenomena.

For master and PhD students as well as researchers interested in the theoretical foundations of plasma models.

About the Author

• Karl-Heinz Spatschek is professor at the University of Düsseldorf, Germany. After obtaining his PhD from University of Bochum, his research visits included stays at the University of Kyoto (Japan), Oxford (UK) and Maryland (USA). He has been playing a key role in research projects funded by the German Research Foundation. His research concentrates on high temperature plasma physics, nonlinear dynamics and waves, and laser plasma interaction.

Book Details

• Hardcover: 642 pages
• Publisher: Wiley-VCH; 2 edition (January 18, 2012)
• Language: English
• ISBN-10: 3527410414
• ISBN-13: 978-3527410415
• Product Dimensions: 9.4 x 6.7 x 1.3 inches

List Price: $165.00 

 

Reys: Helping Children Learn Mathematics 10th Edition

Helping Children Learn Mathematics, Tenth Edition reflects the ever changing world of learning and teaching elementary school mathematics. Change is everywhere. Teachers of mathematics in elementary school not only experience change but, more important, also have an opportunity to help lead the way. This edition of Helping Children Learn Mathematics is built around three main themes; helping children make sense of mathematics, incorporating practical experiences and research to guide teaching, and emphasizing major ideas from the 2010 Common Core State Standards: Mathematics.

This text is intended for those who are or who will be teachers of mathematics in elementary school. It is designed to help readers, help children

Contents

• Chapter 1: School Mathematics in a Changing World
• Chapter 2: Helping Children Learn Mathematics with Understanding
• Chapter 3: Planning for and Teaching Diverse Learners
• Chapter 4: Assessment: Enhanced Learning and Teaching
• Chapter 5: Mathematical Processes and Practices
• Chapter 6: Helping Children with Problem Solving
• Chapter 7: Developing Counting and Number Sense in Early Grades
• Chapter 8: Extending Number Sense: Place Value
• Chapter 9: Operations: Meaning and Basic Facts
• Chapter 10: Computation Methods: Calculators, Mental Computation, and Estimation
• Chapter 11: Standard and Alternative Computational Algorithms
• Chapter 12: Fractions and Decimals: Concepts and Operations
• Chapter 13: Ratio, Proportion, and Percent: Meanings and Applications
• Chapter 14: Algebraic Thinking
• Chapter 15: Geometry
• Chapter 16: Measurement
• Chapter 17: Data Analysis, Statistics, and Probability
• Chapter 18: Number Theory

Key Features

• Focus Questions: point the way into each of the chapters.
• Cultural Connections: located near the end of most chapters, highlights differences in the mathematical experiences and performance of students from different countries.
• Equity: an important issue in mathematics classrooms is highlighted throughout the text. Many ways of providing for individual differences are discussed and illustrated.
• "In the Classroom" Activities: found throughout the text in special boxes, these activities provide a wealth of ideas and strategies for teaching children the topics of each chapter.
• "Things to Do" End of Chapter Activities: found near the end of each chapter, these sections embody the text's active learning and teaching approach to mathematics.
• Children's Literature: specific books are referenced at various points within the text and an annotated list of useful books is provided at the end of each chapter.
• Updated and streamlined research is referenced throughout the text.
• Technology tools and strategies are discussed and illustrated within the text. 
• Math Link boxes within the chapters also highlight additional technology resources, including virtual manipulatives.

New to this edition

• Updated to reflect current recommendations from the Common Core State Standards: Mathematics, and from the National Council of Teachers of Mathematics and other associations.
• All “Snapshots of a Lesson” now include video clips, easily accessed online.
• This edition utilizes videos from TeachScape, with research-based best practices, commentaries by noted researchers, and teacher reflections on featured instructional decisions to better promote understanding.

About the Author

Robert E. Reys is currently Professor of Math Education at the University of Missouri. He received his B.S. in Education and his M.A. in Mathematics, both from Central Missouri State University. He also received his Ed.D. in Mathematics Education from the University of Missouri. Reys has been on the University of Missouri faculty since 1966. He has taught numerous undergraduate and graduate mathematics education courses and has served as advisor for more than 400 secondary mathematics majors, 100 MEd and 30 PhD students in mathematics education. Reys has also served as visiting professor at the University of Georgia, Fulbright Research/Lecturer in Mexico during 1989-90); University of Tsukuba (Japan; 1991-92) and a Fulbright Research/Lecturer in Sweden (1995). He was a visiting summer professor at the University of Saskatchewan (Canada) and the University of Regina (Canada). During the last ten years Reys has conducted workshops and seminars for teachers/researchers on mathematical topics from elementary to secondary school throughout the United States, and several countries including Australia, Canada, Cyprus, England, Germany, Hungary, Italy, Japan, Mexico, Panama, Philippines, Puerto Rico, Sweden, Taiwan and Yemen.

Product Details

• Paperback: 496 pages
• Publisher: Wiley; 10 edition (October 25, 2011)
• Language: English
• ISBN-10: 111800180X
• ISBN-13: 978-1118001806
• Product Dimensions: 10.8 x 8.5 x 0.6 inches

List Price: $157.50 

 

Stewart: Calculus: Early Transcendentals 7th edition

• Diagnostic Tests.
• A Preview of Calculus.

1. FUNCTIONS AND MODELS.

• Four Ways to Represent a Function.
• Mathematical Models: A Catalog of Essential Functions.
• New Functions from Old Functions.
• Graphing Calculators and Computers.
• Exponential Functions.
• Inverse Functions and Logarithms.
• Review.
• Principles of Problem Solving.

2. LIMITS AND DERIVATIVES.

• The Tangent and Velocity Problems.
• The Limit of a Function.
• Calculating Limits Using the Limit Laws.
• The Precise 
• Definition of a Limit.
• Continuity.
• Limits at Infinity; Horizontal Asymptotes.
• Derivatives and Rates of Change.
• Writing Project:
• Early Methods for Finding Tangents.
• The Derivative as a Function.
• Review.
• Problems Plus.

3. DIFFERENTIATION RULES.

• Derivatives of Polynomials and Exponential Functions. 
• Applied Project: Building a Better Roller Coaster. 
• The Product and Quotient Rules. 
• Derivatives of Trigonometric Functions. 
• The Chain Rule. 
• Applied Project: Where Should a Pilot Start Descent? 
• Implicit Differentiation. 
• Laboratory Project: Families of Implicit Curves. 
• Derivatives of Logarithmic Functions. 
• Rates of Change in the Natural and Social Sciences. 
• Exponential Growth and Decay. 
• Related Rates. 
• Linear Approximations and Differentials. 
• Laboratory Project: Taylor Polynomials. 
• Hyperbolic Functions. 
• Review. 
• Problems Plus.

4. APPLICATIONS OF DIFFERENTIATION.

• Maximum and Minimum Values. 
• Applied Project: The Calculus of Rainbows. 
• The Mean Value Theorem. 
• How Derivatives Affect the Shape of a Graph. 
• Indeterminate Forms and l’Hospital’s Rule. 
• Writing Project: The Origins of l’Hospital’s Rule. 
• Summary of Curve Sketching. 
• Graphing with Calculus and Calculators. 
• Optimization Problems. 
• Applied Project: The Shape of a Can. 
• Newton’s Method. Antiderivatives. 
• Review. 
• Problems Plus.

5. INTEGRALS.

• Areas and Distances. 
• The Definite Integral. 
• Discovery Project: Area Functions. 
• The Fundamental Theorem of Calculus. 
• Indefinite Integrals and the Net Change Theorem. 
• Writing Project: Newton, Leibniz, and the Invention of Calculus. 
• The Substitution Rule. 
• Review. 
• Problems Plus.

6. APPLICATIONS OF INTEGRATION.

• Areas Between Curves. 
• Applied Project: The Gini Index. 
• Volume. 
• Volumes by Cylindrical Shells. 
• Work. 
• Average Value of a Function. 
• Applied Project: Calculus and Baseball. 
• Applied Project: Where to Sit at the Movies. 
• Review. 
• Problems Plus.

7. TECHNIQUES OF INTEGRATION.

• Integration by Parts. 
• Trigonometric Integrals. 
• Trigonometric Substitution. 
• Integration of Rational Functions by Partial Fractions. 
• Strategy for Integration. 
• Integration Using Tables and Computer Algebra Systems. 
• Discovery Project: Patterns in Integrals. 
• Approximate Integration. 
• Improper Integrals. 
• Review. 
• Problems Plus.

8. FURTHER APPLICATIONS OF INTEGRATION.

• Arc Length. 
• Discovery Project: Arc Length Contest. 
• Area of a Surface of Revolution. 
• Discovery Project: Rotating on a Slant. 
• Applications to Physics and Engineering. 
• Discovery Project: Complementary Coffee Cups. 
• Applications to Economics and Biology. 
• Probability. 
• Review. 
• Problems Plus.

9. DIFFERENTIAL EQUATIONS.

• Modeling with Differential Equations. 
• Direction Fields and Euler’s Method. 
• Separable Equations. 
• Applied Project: How Fast Does a Tank Drain? 
• Applied Project: Which is Faster, Going Up or Coming Down? 
• Models for Population Growth. 
• Linear Equations. 
• Predator-Prey Systems. 
• Review. 
• Problems Plus.

10. PARAMETRIC EQUATIONS AND POLAR COORDINATES.

• Curves Defined by Parametric Equations. 
• Laboratory Project: Families of Hypocycloids. 
• Calculus with Parametric Curves. 
• Laboratory Project: Bézier Curves. 
• Polar Coordinates. 
• Laboratory Project: Families of Polar Curves. 
• Areas and Lengths in Polar Coordinates. 
• Conic Sections. 
• Conic Sections in Polar Coordinates. 
• Review. 
• Problems Plus.

11. INFINITE SEQUENCES AND SERIES.

• Sequences. 
• Laboratory Project: Logistic Sequences. 
• The Integral Test and Estimates of Sums. 
• The Comparison Tests. 
• Alternating Series. 
• Absolute Convergence and the Ratio and Root Tests. 
• Strategy for Testing Series. 
• Power Series. 
• Representations of Functions as Power Series. 
• Taylor and Maclaurin Series. 
• Laboratory Project: An Elusive Limit. 
• Writing Project: How Newton Discovered the Binomial Series. 
• Applications of Taylor Polynomials. 
• Applied Project: Radiation from the Stars. 
• Review. 
• Problems Plus.

12. VECTORS AND THE GEOMETRY OF SPACE.

• Three-Dimensional Coordinate Systems. 
• Vectors. 
• The Dot Product. 
• The Cross Product. 
• Discovery Project: The Geometry of a Tetrahedron. 
• Equations of Lines and Planes. 
• Cylinders and Quadric Surfaces. 
• Review. 
• Problems Plus.

13. VECTOR FUNCTIONS.

• Vector Functions and Space Curves. 
• Derivatives and Integrals of Vector Functions. 
• Arc Length and Curvature. 
• Motion in Space: Velocity and Acceleration. 
• Applied Project: Kepler’s Laws. 
• Review. 
• Problems Plus.

14. PARTIAL DERIVATIVES.

• Functions of Several Variables. 
• Limits and Continuity. 
• Partial Derivatives. 
• Tangent Planes and Linear Approximation. 
• The Chain Rule. 
• Directional Derivatives and the Gradient Vector. 
• Maximum and Minimum Values. 
• Applied Project: Designing a Dumpster. 
• Discovery Project: Quadratic Approximations and Critical Points. 
• Lagrange Multipliers. 
• Applied Project: Rocket Science. 
• Applied Project: Hydro-Turbine Optimization. 
• Review. 
• Problems Plus.

15. MULTIPLE INTEGRALS.

• Double Integrals over Rectangles.
• Iterated Integrals.
• Double Integrals over General Regions.
• Double Integrals in Polar Coordinates.
• Applications of Double Integrals.
• Surface Area.
• Triple Integrals.
• Discovery Project: Volumes of Hyperspheres.
• Triple Integrals in Cylindrical Coordinates.
• Discovery Project: The Intersection of Three Cylinders.
• Triple Integrals in Spherical Coordinates.
• Applied Project: Roller Derby.
• Change of Variables in Multiple Integrals.
• Review.
• Problems Plus.

16. VECTOR CALCULUS.

• Vector Fields.
• Line Integrals.
• The Fundamental Theorem for Line Integrals.
• Green’s Theorem.
• Curl and Divergence.
• Parametric Surfaces and Their Areas.
• Surface Integrals.
• Stokes’ Theorem.
• Writing Project: Three Men and Two Theorems. 
• The Divergence Theorem.
• Summary.
• Review.
• Problems Plus.

17. SECOND-ORDER DIFFERENTIAL EQUATIONS.

• Second-Order Linear Equations.
• Nonhomogeneous Linear Equations.
• Applications of Second-Order Differential Equations.
• Series Solutions.
• Review.
• Problems Plus.

Appendix 

• Appendix A: Numbers, Inequalities, and Absolute Values.
• Appendix B: Coordinate Geometry and Lines.
• Appendix C: Graphs of Second-Degree Equations.
• Appendix D: Trigonometry.
• Appendix E: Sigma Notation.
• Appendix F: Proofs of Theorems.
• Appendix G: The Logarithm Defined as an Integral.
• Appendix H: Complex Numbers.
• Appendix I: Answers to Odd-Numbered Exercises.

James Stewart's Calculus: Early Transcendentals texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Millions of students worldwide have explored calculus through Stewart's trademark style, while instructors have turned to his approach time and time again.

In the Seventh Edition of Calculus: Early Transcendentals, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart's texts bestsellers continue to provide a strong foundation for the Seventh Edition. From the most unprepared student to the most mathematically gifted, Stewart's writing and presentation serve to enhance understanding and build confidence.

Textbook Features

•  Four carefully crafted diagnostic tests in algebra, analytic geometry, functions, and trigonometry appear at the beginning of the text. These provide students with a convenient way to test their pre-existing knowledge and brush up on skill techniques they need to successfully begin the course. Answers are included, and students who need to improve will be referred to points in the text or on the book's website where they can seek help.
• Stewart's writing style speaks clearly and directly to students, guiding them through key ideas, theorems, and problem-solving steps, and encouraging them to think as they read and learn calculus.
• Every concept is supported by thoughtfully worked examples--many with step-by-step explanations--and carefully chosen exercises. The quality of this pedagogical system is what sets Stewart's texts above others.
• Examples are not only models for problem solving or a means of demonstrating techniques; they also encourage students to develop an analytic view of the subject. To provide further insight into mathematical concepts, many of these detailed examples display solutions that are presented graphically, analytically, and/or numerically. Margin notes expand on and clarify the steps of the solution.
• The text's clean, user-friendly design provides a clear presentation of calculus. The art program, with its functional and consistent use of color, helps students identify and review mathematical concepts more easily.
• The topic of Differential Equations is unified by the theme of modeling. Qualitative, numerical, and analytic approaches are given equal consideration.
• Stewart draws on physics, engineering, chemistry, biology, medicine, and social science to motivate students and demonstrate the power of calculus as a problem-solving tool in a wide variety of fields.
• Stewart's presentation repeatedly provides answers to the question: When will I use this? You'll find many examples of how calculus is used as a problem-solving tool in fields such as physics, engineering, chemistry, biology, medicine, and the social sciences.
• Stewart's text offers an extensive collection of more than 8,000 quality exercises. Each exercise set is carefully graded, progressing from skill-development problems to more challenging problems involving applications and proofs. The wide variety of types of exercises includes many technology-oriented, thought-provoking, real, and engaging problems.
• Conceptual exercises encourage the development of communication skills by explicitly requesting descriptions, conjectures, and explanations. These exercises stimulate critical thinking and reinforce the concepts of calculus.
• A wealth of engaging projects reinforce concepts: "Writing Projects" ask students to compare present-day methods with those of the founders of calculus. "Discovery Projects" anticipate results to be discussed later. "Applied Projects" feature content that engages student interest and demonstrates the real-world use of mathematics. "Laboratory Projects" anticipate results to be discussed later or encourage discovery through pattern recognition.
• Comprehensive review sections follow each chapter and further support conceptual understanding. A "Concept Check" and "True/False Quiz" allow students to prepare for upcoming tests through ideas and skill-building.
• "Strategies" sections (based on George Polya's problem-solving methodology) help students select what techniques they'll need to solve problems in situations where the choice is not obvious, and help them develop true problem-solving skills and intuition.
• Historical and biographical margin notes enliven the course and show students that mathematics was developed to help explain and represent natural phenomena.

New to the Seventh Edition

• Revised: For this edition, Stewart has combined the material that previously appeared in chapters 1 and 2. This means that Calculus, 7e, and Calculus: Early Transcendentals, 7e, have the same number of chapters, allowing for a single Multivariable text, rather than two separate ET and LT versions. Chapters 1 and 2 have been combined--and some material has been moved to an appendix--to streamline the presentation of these early topics.
• Revised: Throughout the text, the author has revised the narrative as necessary to improve clarity and aid in student comprehension.
• New: Examples, margin notes, applications, and projects have been added. In addition, new collections of more challenging exercises called "Problems Plus" have been added, reinforcing concepts by requiring students to apply techniques from more than one chapter of the text. "Problems Plus" sections patiently show students how to approach a challenging problem.
• New: This edition has been updated with approximately 25% more exercises than the previous edition, giving students more opportunities to practice concepts they have learned.
• New: "PS" icons denoting problem-solving margin notes are aimed at increasing instructors' awareness of this important aspect of Stewart's approach.
• Updated: Tools for Enriching Calculus--a free, online, interactive resource that allows Calculus students to work with animations that deepen their understanding of key concepts by helping them visualize the concepts they are learning--has been updated with new problems and a new Flash design that is more visually appealing and engaging to students. 

About the Author 

• James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart is Professor Emeritus at McMaster University and is currently Professor of Mathematics at the University of Toronto. His research field is harmonic analysis and the connections between mathematics and music. James Stewart is the author of a best-selling calculus textbook series published by Cengage Learning—Brooks/Cole, including Calculus, Calculus: Early Transcendentals, And Calculus: Concepts And Contexts, as well as a series of precalculus texts.

Book Details 
 

• Hardcover: 1344 pages
• Publisher: Brooks Cole; 7 edition (November 19, 2010)
• Language: English
• ISBN-10: 0538497904
• ISBN-13: 978-0538497909
• Product Dimensions: 10.1 x 8.2 x 1.8 inches

List Price: $224.95  

 

Hughes-Hallett: Applied Calculus 4th Edition

Applied Calculus 4th Edition exhibits the same strengths from earlier editions including the "Rule of Four", an emphasis on concepts and modeling, exposition that students can read and understand and a flexible approach to technology.  The conceptual and modeling problems, praised for their creativity and variety, continue to motivate and challenge students. 
The fourth edition gives readers the skills to apply calculus on the job. It highlights the applications' connection with real-world concerns. The problems take advantage of computers and graphing calculators to help them think mathematically.  The applied exercises challenge them to apply the math they have learned in new ways.  This develops their capacity for modeling in a way that the usual exercises patterned after similar solved examples cannot do. The material is also presented in a way to help business professionals decide when to use technology, which empowers them to learn what calculators/computers can and cannot do.

Contents 
1 FUNCTIONS AND CHANGE
1.1 WHAT IS A FUNCTION?
1.2 LINEAR FUNCTIONS
1.3 AVERAGE RATE OF CHANGE AND RELATIVE CHANGE
1.4 APPLICATIONS OF FUNCTIONS TO ECONOMICS
1.5 EXPONENTIAL FUNCTIONS
1.6 THE NATURAL LOGARITHM
1.7 EXPONENTIAL GROWTH AND DECAY
1.8 NEW FUNCTIONS FROM OLD
1.9 PROPORTIONALITY AND POWER FUNCTIONS
1.10 PERIODIC FUNCTIONS
2 RATE OF CHANGE: THE DERIVATIVE
2.1 INSTANTANEOUS RATE OF CHANGE
2.2 THE DERIVATIVE FUNCTION
2.3 INTERPRETATIONS OF THE DERIVATIVE
2.4 THE SECOND DERIVATIVE
2.5 MARGINAL COST AND REVENUE
3 SHORT-CUTS TO DIFFERENTIATION
3.1 DERIVATIVE FORMULAS FOR POWERS AND POLYNOMIALS
3.2 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
3.3 THE CHAIN RULE
3.4 THE PRODUCT AND QUOTIENT RULES
3.5 DERIVATIVES OF PERIODIC FUNCTIONS
4 USING THE DERIVATIVE
4.1 LOCAL MAXIMA AND MINIMA
4.2 INFLECTION POINTS
4.3 GLOBAL MAXIMA AND MINIMA
4.4 PROFIT, COST, AND REVENUE
4.5 AVERAGE COST
4.6 ELASTICITY OF DEMAND
4.7 LOGISTIC GROWTH
4.8 THE SURGE FUNCTION AND DRUG CONCENTRATION
5 ACCUMULATED CHANGE: THE DEFINITE INTEGRAL
5.1 DISTANCE AND ACCUMULATED CHANGE
5.2 THE DEFINITE INTEGRAL
5.3 THE DEFINITE INTEGRAL AS AREA
5.4 INTERPRETATIONS OF THE DEFINITE INTEGRAL
5.5 THE FUNDAMENTAL THEOREM OF CALCULUS
6 USING THE DEFINITE INTEGRAL
6.1 AVERAGE VALUE
6.2 CONSUMER AND PRODUCER SURPLUS
6.3 PRESENT AND FUTURE VALUE
6.4 INTEGRATING RELATIVE GROWTH RATES
7 ANTIDERIVATIVES
7.1 CONSTRUCTING ANTIDERIVATIVES ANALYTICALLY
7.2 INTEGRATION BY SUBSTITUTION
7.3 USING THE FUNDAMENTAL THEOREM TO FIND DEFINITE INTEGRALS
7.4 INTEGRATION BY PARTS
7.5 ANALYZING ANTIDERIVATIVES GRAPHICALLY AND NUMERICALLY
8 PROBABILITY
8.1 DENSITY FUNCTIONS
8.2 CUMULATIVE DISTRIBUTION FUNCTIONS AND PROBABILITY
8.3 THE MEDIAN AND THE MEAN
9 FUNCTIONS OF SEVERAL VARIABLES
9.1 UNDERSTANDING FUNCTIONS OF TWO VARIABLES
9.2 CONTOUR DIAGRAMS
9.3 PARTIAL DERIVATIVES
9.4 COMPUTING PARTIAL DERIVATIVES ALGEBRAICALLY
9.5 CRITICAL POINTS AND OPTIMIZATION
9.6 CONSTRAINED OPTIMIZATION
10 MATHEMATICAL MODELING USING DIFFERENTIAL EQUATIONS
10.1 MATHEMATICAL MODELING: SETTING UP A DIFFERENTIAL EQUATION
10.2 SOLUTIONS OF DIFFERENTIAL EQUATIONS
10.3 SLOPE FIELDS
10.4 EXPONENTIAL GROWTH AND DECAY
10.5 APPLICATIONS AND MODELING
10.6 MODELING THE INTERACTION OF TWO POPULATIONS
10.7 MODELING THE SPREAD OF A DISEASE
11 GEOMETRIC SERIES
11.1 GEOMETRIC SERIES
11.2 APPLICATIONS TO BUSINESS AND ECONOMICS
11.3 APPLICATIONS TO THE NATURAL SCIENCES
APPENDICES
A FITTING FORMULAS TO DATA
B COMPOUND INTEREST AND THE NUMBER
C SPREADSHEET PROJECTS
1. MALTHUS: POPULATION OUTSTRIPS FOOD SUPPLY
2. CREDIT CARD DEBT
3. CHOOSING A BANK LOAN
4. COMPARING HOME MORTGAGES
5. PRESENT VALUE OF LOTTERYWINNINGS
6. COMPARING INVESTMENTS
7. INVESTING FOR THE FUTURE: TUITION PAYMENTS
8. NEW OR USED?
9. VERHULST: THE LOGISTIC MODEL
10. THE SPREAD OF INFORMATION: A COMPARISON OF TWO MODELS
11. THE FLU IN WORLD WAR I 

Book Details

• Paperback: 560 pages
• Publisher: Wiley; 4 edition
• Language: English
• ISBN-10: 0470170522
• ISBN-13: 978-0470170526
• Product Dimensions: 10.2 x 8.1 x 0.9 inches

List Price: $114.98 

Blank & Krantz’s Calculus 2nd Edition

Blank and Krantz’s Calculus 2e brings together time-tested methods and innovative thinking to address the needs of today’s students, who come from a wide range of backgrounds and look ahead to a variety of futures. Using meaningful examples, credible applications, and incisive technology, Blank and Krantz’s Calculus 2e strives to empower students, enhance their critical thinking skills, and equip them with the knowledge and skills to succeed in the major or discipline they ultimately choose to study. Blank and Krantz’s engaging style and clear writing make the language of mathematics accessible, understandable and enjoyable, while maintaining high standards for mathematical rigor. 

Blank and Krantz’s Calculus 2e is available with WileyPLUS, an online teaching and learning environment initially developed for Calculus and Differential Equations courses. WileyPLUS integrates the complete digital textbook with powerful student and instructor resources as well as online auto-graded homework.

Hallmark Features

• Readable rigor: The writing of this text is cogent, clear, and compelling; while carefully maintaining mathematical precision.
• Depth of Exercises: Exercise sets have real depth and are organized into three parts; skills exercises (Problems for Practice), more challenging and thought-provoking exercises (Further Theory and Practice), and technology exercises (Calculator/Computer Sciences)
• Pedagogical Features: These include: Insight, A Look Back, A Look Forward, Quick Quiz, Preview, Key/Basic Steps, Summary of Key Topics, Genesis and Development
• Advanced Students Are Engaged Early: Students who were exposed to calculus in high school are challenged and engaged early; for instance, by early exposure to sequences (in Chapter 2, “Limits”)
• Technology: Technology is an essential part of modern life. It is used throughout the book in a natural and comfortable manner. Students see how scientists and engineers think about mathematical questions.
• Real World Applications: Applications are not “made up” or artificial. They are shown as an essential part of the way we think about Mathematics and the world around us.
• Sequences: These are introduced early and used throughout to motivate key ideas like limits, exponentials and series.

New to this edition

• Major reorganization of topics: Table of contents has been reorganized to be more in line with standard syllabi.
• Chapter Review Exercises: This edition now includes chapter review exercises.
• Exercises: More exercises added throughout, especially drill and medium-level exercises.

Contents 

CHAPTER 1 Basics.

• Preview.
• 1 Number Systems.
• 2 Planar Coordinates and Graphing in the Plane.
• 3 Lines and Their Slopes.
• 4 Functions and Their Graphs.
• 5 Combining Functions.
• 6 Trigonometry.
• Summary of Key Topics.
• Review Exercises.
• Genesis & Development 1.

CHAPTER 2 Limits.

• Preview.
• 1 The Concept of Limit.
• 2 Limit Theorems.
• 3 Continuity.
• 4 Infinite Limits and Asymptotes.
• 5 Limits of Sequences.
• 6 Exponential Functions and Logarithms.
• Summary of Key Topics.
• Review Exercises.
• Genesis & Development 2.

CHAPTER 3 The Derivative.

• Preview.
• 1 Rates of Change and Tangent Lines.
• 2 The Derivative.
• 3 Rules for Differentiation.
• 4 Differentiation of Some Basic Functions.
• 5 The Chain Rule.
• 6 Derivatives of Inverse Functions.
• 7 Higher Derivatives.
• 8 Implicit Differentiation.
• 9 Differentials and Approximation of Functions.
• 10 Other Transcendental Functions.
• Summary of Key Topics.
• Review Exercises.
• Genesis & Development 3.

CHAPTER 4 Applications of the Derivative.

• Preview.
• 1 Related Rates.
• 2 The Mean Value Theorem.
• 3 Maxima and Minima of Functions.
• 4 Applied Maximum-Minimum Problems.
• 5 Concavity.
• 6 Graphing Functions.
• 7 l’Hoˆ pital’s Rule.
• 8 The Newton-Raphson Method.
• 9 Antidifferentiation and Applications.
• Summary of Key Topics.
• Review Exercises.
• Genesis & Development 4.

CHAPTER 5 The Integral.

• Preview.
• 1 Introduction to Integration—The Area Problem.
• 2 The Riemann Integral.
• 3 Rules for Integration.
• 4 The Fundamental Theorem of Calculus.
• 5 A Calculus Approach to the Logarithm and Exponential Functions.
• 6 Integration by Substitution.
• 7 More on the Calculation of Area.
• 8 Numerical Techniques of Integration.
• Summary of Key Topics.
• Review Exercises.
• Genesis & Development 5.

CHAPTER 6 Techniques of Integration.

• Preview.
• 1 Integration by Parts.
• 2 Powers and Products of Trigonometric Functions.
• 3 Trigonometric Substitution.
• 4 Partial Fractions—Linear Factors.
• 5 Partial Fractions—Irreducible Quadratic Factors.
• 6 Improper Integrals—Unbounded Integrands.
• 7 Improper Integrals—Unbounded Intervals.
• Summary of Key Topics.
• Review Exercises.
• Genesis & Development 6.

CHAPTER 7 Applications of the Integral.

• Preview.
• 1 Volumes.
• 2 Arc Length and Surface Area.
• 3 The Average Value of a Function.
• 4 Center of Mass.
• 5 Work.
• 6 First Order Differential Equations—Separable Equations.
• 7 First Order Differential Equations—Linear Equations.
• Summary of Key Topics.
• Review Exercises.
• Genesis & Development 7.

CHAPTER 8 Infinite Series.

• Preview.
• 1 Series.
• 2 The Divergence Test and the Integral Test.
• 3 The Comparison Tests.
• 4 Alternating Series.
• 5 The Ratio and Root Tests.
• 6 Introduction to Power Series.
• 7 Representing Functions by Power Series.
• 8 Taylor Series.
• Summary of Key Topics.
• Review Exercises.
• Genesis & Development 8.

Table of Integrals.

Answers to Selected Exercises.

Index.

Book Details

• Hardcover: 832 pages
• Publisher: Wiley; 2 edition (January 4, 2011)
• Language: English
• ISBN-10: 0470601981
• ISBN-13: 978-0470601983
• Product Dimensions: 10.2 x 8.5 x 1.3 inches

List Price: $187.50 
 

Bluman: Elementary Statistics: A Step By Step Approach 8th edition

• 1 The Nature of Probability and Statistics
• 2 Frequency Distributions and Graphs
• 3 Data Description
• 4 Probability and Counting Rules
• 5 Discrete Probability Distributions
• 6 The Normal Distribution
• 7 Confidence Intervals and Sample Size
• 8 Hypothesis Testing
• 9 Testing the Difference Between Two Means, Two Variances, and Two Proportions
• 10 Correlation and Regression
• 11 Other Chi-Square Tests
• 12 Analysis of Variance
• 13 Nonparametric Statistics
• 14 Sampling and Simulation

Appendices

• Appendix A: Algebra Review
• Appendix B-1: Writing the Research Report
• Appendix B-2: Bayes’ Theorem
• Appendix B-3: Alternate Approach to the Standard Normal Distribution
• Appendix C: Tables
• Appendix D: Data Bank
• Appendix E: Glossary
• Appendix F: Bibliography
• Appendix G: Photo Credits
• Appendix H: Selected Answers

This book is for introductory statistics courses with a basic algebra prerequisite. It is non-theoretical, explaining concepts intuitively and teaching problem solving through worked examples and step-by-step instructions. In recent editions, Al Bluman has placed more emphasis on conceptual understanding and understanding results, along with increased focus on Excel, MINITAB, and the TI-83 Plus and TI-84 Plus graphing calculators; computing technologies commonly used in such courses.

The 8th edition of Bluman provides a significant leap forward in terms of online course management with McGraw-Hill’s new homework platform, Connect Statistics – Hosted by ALEKS. Statistic instructors served as digital contributors to choose the problems that will be available, authoring each algorithm and providing stepped out solutions that go into great detail and are focused on areas where students commonly make mistakes. From there, the ALEKS Corporation reviewed each algorithm to ensure accuracy. The result is an online homework platform that provides superior content and feedback, allowing students to effectively learn the material being taught.

About the Author

McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide.

Product Details

• Hardcover: 896 pages
• Publisher: McGraw-Hill Science/Engineering/Math; 8 edition (January 6, 2011)
• Language: English
• ISBN-10: 0077460391
• ISBN-13: 978-0077460396
• Product Dimensions: 10.8 x 8.8 x 1.3 inches

List Price: $159.62