Calculus / Edition 7

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Overview

Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS, Seventh Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course!

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Editorial Reviews

Booknews
The latest edition of Stewart's McMaster University college textbook emphasizes conceptual understanding while retaining the traditional fundamentals of calculus. Annotation c. Book News, Inc., Portland, OR booknews.com
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Product Details

  • ISBN-13: 9780538497817
  • Publisher: Cengage Learning
  • Publication date: 1/1/2011
  • Series: Textbooks Available with Cengage YouBook Series
  • Edition description: New Edition
  • Edition number: 7
  • Pages: 1368
  • Sales rank: 114,366
  • Product dimensions: 8.80 (w) x 10.10 (h) x 1.90 (d)

Meet 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 currently Professor of Mathematics at McMaster University, and his research field is harmonic analysis. 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.

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Table of Contents

A Preview of Calculus. 1. FUNCTIONS AND LIMITS. Four Ways to Represent a Function. Mathematical Models: A Catalog of Essential Functions. New Functions from Old Functions. The Tangent and Velocity Problems. The Limit of a Function. Calculating Limits Using the Limit Laws. The Precise Definition of a Limit. Continuity. Review. Principles of Problem Solving. 2. DERIVATIVES. Derivatives and Rates of Change. Writing Project: Writing Project: Early Methods for Finding Tangents. The Derivative as a Function. Differentiation Formulas. Applied Project: Building a Better Roller Coaster. Derivatives of Trigonometric Functions. The Chain Rule. Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation. Laboratory Project: Families of Implicit Curves. Rates of Change in the Natural and Social Sciences. Related Rates. Linear Approximations and Differentials. Laboratory Project: Taylor Polynomials. Review. Problems Plus. 3. 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. Limits at Infinity; Horizontal Asymptotes. 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. 4. 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. 5. APPLICATIONS OF INTEGRATION. Areas Between Curves. Applied Project: The Gini Index. Volumes. Volumes by Cylindrical Shells. Work. Average Value of a Function. Applied Project: Calculus and Baseball. Review. Problems Plus. 6. INVERSE FUNCTIONS: EXPONENTIAL, LOGARITHMIC, AND INVERSE TRIGONOMETRIC FUNCTIONS Inverse Functions. (Instructors may cover either Sections 6.2-6.4 or Sections 6.2*-6.4*. See the Preface). Exponential Functions and Their Derivatives. Logarithmic Functions. Derivatives of Logarithmic Functions. *The Natural Logarithmic Function. *The Natural Exponential Function. *General Logarithmic and Exponential Functions. Exponential Growth and Decay. Inverse Trigonometric Functions. Applied Project: Where to Sit at the Movies. Hyperbolic Functions. Indeterminate Forms and l'Hospital's Rule. Writing Project: The Origins of l'Hospital's Rule. 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: Bezier 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. Series. 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 A: Intervals, 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: Graphing Calculators and Computers. Appendix H: Complex Numbers. Appendix I: Answers to Odd-Numbered Exercises.

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Customer Reviews

Average Rating 3.5
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Sort by: Showing 1 – 14 of 15 Customer Reviews
  • Anonymous

    Posted October 15, 2002

    Disappointed teacher

    I have been teaching math on the college level for over 20 yrs. I am disappointed to say that there are much better texts that should be used in a classroom setting.

    1 out of 1 people found this review helpful.

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  • Anonymous

    Posted September 7, 2002

    Calculus

    Textbooks are supposed to explain concepts as well as give examples. This book approaches learning by example, but along with that should come explanation. This book is too expensive for what it dosen't deliver, knowledge.

    1 out of 1 people found this review helpful.

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  • Anonymous

    Posted July 15, 2002

    There has to be better

    This text did a very good job of explaining the material in the early chapters, but once you reach the later chapters that include multivariable calculus it goes downhill. The examples to some lessons don't help explain anything. Most of the lessons in the last 5 chapters are only good for providing practice problems. You must have a good teacher to understand the material though.

    1 out of 1 people found this review helpful.

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  • Anonymous

    Posted November 7, 2001

    Needs Improvement

    His book is not real clear and if one spends time doing most of the problems listed for each section, they will find that he does not present a clear explanation on how to solve most of the higher numbered problems. He really needs to work on his presentation.

    1 out of 1 people found this review helpful.

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  • Anonymous

    Posted July 8, 2002

    Good enough

    This is one of the better written text books that i have seen in a very long time, and i think it is very good, and very read-able. I am a math major and i hope that i will be able to find more books like it because it is wonderful. High school they were aweful and didn't explain anything and yours is given with many examples and is kinda easy to pick up on with the steps that you use. Just be sure next time to have examples for all of your practice problems, and don't assume that just because they are in calculus class they know what was supposed to be learned before. Maybe just add a little something from before in some of the exericises that you work the problem out so that one can recoginize and see what you are actually starting from. But besides that it is a class you can teach yourself with your book!! Keep it up and I can't wait for the next one.

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  • Anonymous

    Posted September 30, 2001

    good book, cant look at it!!

    i have to agree with the archemides... its a good book, but i cant stand the very very dull, and plain explanations that are given here!! but it def. teaches wat it should with explanations, and good figues....

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  • Anonymous

    Posted September 22, 2001

    THIS IS A GREAT BOOK!

    I use this book for my Multivariate Calculus class at Stuyvesant High School in NYC. It is a great book. Although for this class, we only use the second portion of the book, this year, my school has ordered more copies for the Calculus BC students to use the first portion of the book that does not deal with Multivariabe.

    0 out of 1 people found this review helpful.

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  • Anonymous

    Posted December 11, 2000

    Nasty Calculus with 0 stars

    I HATE CALCULUS!!!!!!!!! IT IS THE WORST SUBJECT IN THE WORLD!!! EVEN THOUGH THIS IS A GOOD BOOK, THE SUBJECT IS SO HORRID THAT THE BOOK BECOMES HORRIBLE TOO.

    0 out of 2 people found this review helpful.

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  • Anonymous

    Posted December 15, 2000

    A very excellent textbook

    I would like all of you to enjoy the excitements in discovering calculus when you read this excellent calculus textbook. I am using it right now and I am really amazed how wonderful the author's explanations about the concepts.This book hads a tons of great figures and lots of examples to illustrate the concept. I would like all of you to buy this book and enjoy the beautiful of this subject

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  • Anonymous

    Posted August 25, 2010

    No text was provided for this review.

  • Anonymous

    Posted October 30, 2012

    No text was provided for this review.

  • Anonymous

    Posted September 17, 2010

    No text was provided for this review.

  • Anonymous

    Posted October 17, 2010

    No text was provided for this review.

  • Anonymous

    Posted September 8, 2010

    No text was provided for this review.

Sort by: Showing 1 – 14 of 15 Customer Reviews

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