Calculus, Single and Multivariable / Edition 3

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The Third Edition of CALCULUS reflects the strong consensus within the mathematics community for a new balance between the contemporary ideas of the original editions of this book and ideas and topics from earlier calculus books. Building on previous work, this Third Edition has the same philosophy as earlier editions but represents a new balance of topics. CALCULUS 3/e brings together the best of both new and traditional curricula in an effort to meet the needs of even more instructors teaching calculus. The author team's extensive experience teaching from both traditional and innovative books and their expertise in developing innovative problems put them in an unique position to make this new curriculum meaningful to students going into mathematics and those going into the sciences and engineering. The authors believe the new edition will work well for those departments who are looking for a calculus book that offers a middle ground for their calculus instructors.
CALCULUS 3/e exhibits the same strengths from earlier editions including the Rule of Four, an emphasis on 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.
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Editorial Reviews

From the Publisher
"...more than enough material here...wide ranging in its material..." (Times Higher Education Supplement, 28 Nov 2003)
Focusing on a limited number of topics in more depth than is perhaps customary in a calculus text, this volume emphasizes the meaning, in practical, graphical, and numerical terms, of the symbols used. Chapters cover functions, the derivative and the definite integral, short-cuts to differentiation, using the derivative, constructive antiderivatives, integration, using the definite integral, approximations and series, differential equations, functions of several variables, vectors, differentiating functions of many variables, optimization, integrating functions of many variables, parameterized curves, vector fields, line integrals, flux integrals, and calculus of vector fields. Includes short answers to odd-numbered problems at the back of the book. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780471408277
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 8/20/2001
  • Edition description: Older Edition
  • Edition number: 3
  • Pages: 1024
  • Product dimensions: 8.82 (w) x 10.85 (h) x 1.46 (d)

Table of Contents

A Library of Functions.

Key Concept: The Derivative.

Short-Cuts to Differentiation.

Using the Derivative.

Key Concept: The Definite Integral.

Constructing Antiderivatives.


Using the Definite Integral.


Approximating Functions.

Differential Equations.

Functions of Several Variables.

A Fundamental Tool: Vectors.

Differentiating Functions of Several Variables.

Optimization: Local and Global Extrema.

Integrating Functions of Several Variables.

Parameterization and Vector Fields.

Line Integrals.

Flux Integrals.

Calculus of Vector Fields.

Appendix A: Roots, Accuracy, and Bounds.

Appendix B: Polar Coordinates.

Appendix C: Complex Numbers.

Appendix D: Newton's Method.

Appendix E: Determinants.

Ready Reference.

Answers to Odd Numbered Problems.


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Sort by: Showing all of 4 Customer Reviews
  • Anonymous

    Posted April 27, 2005

    A bunch of BS

    I don't think I have ever hated a book this much, and I have taken my fair share of boring, dull, redundant classes in my life, but this book tops them all for how horrible and useless a book can be. I would not recommend this book to anyone, especially if you are trying to teach yourself it, the book contradicts itself, is repetitive, and has mistakes, along with being generally unclear and for lack of a better word, boring. And I'm a math major, so it¿s not like I hate math, I'll be doing it for a living, I just hate the book.

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  • Anonymous

    Posted May 26, 2003

    Tough made tougher

    Having worked with the second edition, Hughes and friends have taken a turn for the worse. This book takes challenging concepts and fails to provide adequate guidence to solve 'problems.' Many assumptions have to be made and the graphics are poor for a modern book. The text fails to connect with students and never connects concepts. Overall the text is OK for single variable calculus, but terrible for multivariable.

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  • Anonymous

    Posted August 16, 2002

    book not for everyone

    I thoroughly enjoyed this book, however, I only used the multivariable section. While the problems are quite difficult, I felt that things were explained quite well. Perhaps the problem was not having an adequate teacher to guide you or adequate motivation; upper-level math is not easy, and many of the topics are not easily learned without great amounts of practice.

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  • Anonymous

    Posted May 22, 2002

    Consider Using Another Book

    This book does not teach Calculus. It presents very complex and intricate problems that could have applications in real life, but does not make any attempt to reinforce or provide enough background for the student to solve these excercises and problems. The complexity of the excercises is tremendous and even the presentation of the material lacks much character: vague examples, shortened and unconcise theory. For anyone attending a school that requires this text book I would recommend Single Variable Calculus by E. Larson, Roland.

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