Understanding Calculus [Paperback]

Everything you need to know-basic essential concepts-about calculus

For anyone looking for a readable alternative to the usual unwieldy calculus text, here's a concise, no-nonsense approach to learning calculus. Following up on the highly popular first edition of Understanding Calculus, Professor H. S. Bear offers an expanded, improved edition that will serve the needs of every mathematics and engineering student, or provide an easy-to-use refresher text for engineers.

Understanding Calculus, Second Edition provides in a condensed format all the material covered in the standard two-year calculus course. In addition to the first edition's comprehensive treatment of one-variable calculus, it covers vectors, lines, and planes in space; partial derivatives; line integrals; Green's theorem; and much more. More importantly, it teaches the material in a unique, easy-to-read style that makes calculus fun to learn. By explaining calculus concepts through simple geometric and physical examples rather than formal proofs, Understanding Calculus, Second Edition, makes it easy for anyone to master the essentials of calculus.

If the dry theorem-and-proof approach just doesn't work, and the traditional twenty pound calculus textbook is just too much, this book is for you.

AUTHOR'S MESSAGE TO THE READER vii

ANNOTATED TABLE OF CONTENTS ix

ACKNOWLEDGMENTS xv

CHAPTER 1 Lines 1

CHAPTER 2 Parabolas, Ellipses, Hyperbolas 7

CHAPTER 3 Differentiation 13

CHAPTER 4 Differentiation Formulas 19

CHAPTER 5 The Chain Rule 25

CHAPTER 6 Trigonometric Functions 31

CHAPTER 7 Exponential Functions and Logarithms 39

CHAPTER 8 Inverse Functions 45

CHAPTER 9 Derivatives and Graphs 51

CHAPTER 10 FollC;