Advanced Calculus Demystified

Advanced Calculus Demystified

by David Bachman
Advanced Calculus Demystified

Advanced Calculus Demystified

by David Bachman

eBook

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Overview

Your INTEGRAL tool for mastering ADVANCED CALCULUS

Interested in going further in calculus but don't where to begin? No problem! With Advanced Calculus Demystified, there's no limit to how much you will learn.

Beginning with an overview of functions of multiple variables and their graphs, this book covers the fundamentals, without spending too much time on rigorous proofs. Then you will move through more complex topics including partial derivatives, multiple integrals, parameterizations, vectors, and gradients, so you'll be able to solve difficult problems with ease. And, you can test yourself at the end of every chapter for calculated proof that you're mastering this subject, which is the gateway to many exciting areas of mathematics, science, and engineering.

This fast and easy guide offers:

  • Numerous detailed examples to illustrate basic concepts
  • Geometric interpretations of vector operations such as div, grad, and curl
  • Coverage of key integration theorems including Green's, Stokes', and Gauss'
  • Quizzes at the end of each chapter to reinforce learning
  • A time-saving approach to performing better on an exam or at work

Simple enough for a beginner, but challenging enough for a more advanced student, Advanced Calculus Demystified is one book you won't want to function without!


Product Details

ISBN-13: 9780071511094
Publisher: McGraw Hill LLC
Publication date: 06/05/2007
Series: Demystified
Sold by: Barnes & Noble
Format: eBook
Pages: 274
File size: 6 MB

About the Author

David Bachman, Ph.D., is an assistant professor of mathematics at Pitzer College in California. He currently teaches courses in multivariable calculus as well as mathematical logic games.

Table of Contents

Preface Acknowledgments Chapter 1: Functions of Multiple Variables Chapter 2: Fundamentals of Advanced Calculus Chapter 3: Derivatives Chapter 4: Integration Chapter 5: Cylindrical and Spherical Coordinates Chapter 6: Parameterizations Chapter 7: Vectors and Gradients Chapter 8: Calculus with Parameterizations Chapter 9: Vector Fields and Derivatives Chapter 10: Integrating Vector Fields Chapter 11: Integration Theorems Final Exam Answers to Problems Index
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