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### Table of contents

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#### 1 - Preliminaries

Pages 1-54 - Book chapterAbstract only
#### 2 - Limits and Derivatives

Pages 55-136 - Book chapterAbstract only
#### 3 - More about Derivatives

Pages 137-191 - Book chapterAbstract only
#### 4 - Applications of the Derivative

Pages 192-264 - Book chapterAbstract only
#### 5 - The Integral

Pages 265-348 - Book chapterAbstract only
#### 6 - Exponentials and Logarithms

Pages 349-425 - Book chapterAbstract only
#### 7 - More on Trigonometric Functions and the Hyperbolic Functions

Pages 426-461 - Book chapterAbstract only
#### 8 - Techniques of Integration

Pages 462-526 - Book chapterAbstract only
#### 9 - Further Applications of the Definite Integral

Pages 527-576 - Book chapterAbstract only
#### 10 - Topics in Analytic Geometry

Pages 577-607 - Book chapterAbstract only
#### 11 - Polar Coordinates

Pages 608-640 - Book chapterAbstract only
#### 12 - Indeterminate Forms and Improper Integrals

Pages 641-666 - Book chapterAbstract only
#### 13 - Taylor Polynomials and Approximation

Pages 667-688 - Book chapterAbstract only
#### 14 - Sequences and Series

Pages 689-756 - Book chapterAbstract only
#### 15 - Vectors in the Plane

Pages 757-781 - Book chapterAbstract only
#### 16 - Vector Functions, Vector Differentiation, and Parametric Equations

Pages 782-837 - Book chapterAbstract only
#### 17 - Vectors in Space

Pages 838-899 - Book chapterAbstract only
#### 18 - Differentiation of Functions of Two and Three Variables

Pages 900-996 - Book chapterAbstract only
#### 19 - Multiple Integration

Pages 997-1055 - Book chapterAbstract only
#### 20 - Introduction to Vector Analysis

Pages 1056-1133 - Book chapterAbstract only
#### 21 - Ordinary Differential Equations

Pages 1134-1178 - Book chapterNo access
#### Appendix 1 - Review of Trigonometry

Pages A1-A16 - Book chapterNo access
#### Appendix 2 - Mathematical Induction

Pages A17-A21 - Book chapterNo access
#### Appendix 3 - Determinants

Pages A22-A32 - Book chapterNo access
#### Appendix 4 - The Binomial Theorem

Pages A33-A36 - Book chapterNo access
#### Appendix 5 - The Proofs of Some Theorems on Limits, Continuity, and Differentiation

Pages A37-A46 - Book chapterNo access
#### Appendix 6 - Complex Numbers

Pages A47-A55 - Book chapterNo access
#### TABLES

Pages A56-A68 - Book chapterNo access
#### Answers to Odd-Numbered Problems and Review Exercises

Pages A69-A147 - Book chapterNo access
#### Index

Pages I-1-I-11

## About the book

### Description

Calculus, Third Edition emphasizes the techniques and theorems of calculus, including many applied examples and exercises in both drill and applied-type problems. This book discusses shifting the graphs of functions, derivative as a rate of change, derivative of a power function, and theory of maxima and minima. The area between two curves, differential equations of exponential growth and decay, inverse hyperbolic functions, and integration of rational functions are also elaborated. This text likewise covers the fluid pressure, ellipse and translation of axes, graphing in polar coordinates, proof of l'Hôpital's rule, and approximation using Taylor polynomials. Other topics include the rectangular coordinate system in space, higher-order partial derivatives, line integrals in space, and vibratory motion. This publication is valuable to students taking calculus.

Calculus, Third Edition emphasizes the techniques and theorems of calculus, including many applied examples and exercises in both drill and applied-type problems. This book discusses shifting the graphs of functions, derivative as a rate of change, derivative of a power function, and theory of maxima and minima. The area between two curves, differential equations of exponential growth and decay, inverse hyperbolic functions, and integration of rational functions are also elaborated. This text likewise covers the fluid pressure, ellipse and translation of axes, graphing in polar coordinates, proof of l'Hôpital's rule, and approximation using Taylor polynomials. Other topics include the rectangular coordinate system in space, higher-order partial derivatives, line integrals in space, and vibratory motion. This publication is valuable to students taking calculus.

## Details

### ISBN

978-0-12-304371-9

### Language

English

### Published

1984

### Copyright

Copyright © 1984 Elsevier Inc. All rights reserved.

### Imprint

Academic Press