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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 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

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#### TABLES

Pages A47-A59 - Book chapterNo access
#### Answers to Odd-Numbered Problems and Review Exercises

Pages A60-A121 - Book chapterNo access
#### Index

Pages I-1-I-7

## About the book

### Description

Calculus of One Variable, Second Edition presents the essential topics in the study of the techniques and theorems of calculus. The book provides a comprehensive introduction to calculus. It contains examples, exercises, the history and development of calculus, and various applications. Some of the topics discussed in the text include the concept of limits, one-variable theory, the derivatives of all six trigonometric functions, exponential and logarithmic functions, and infinite series. This textbook is intended for use by college students.

Calculus of One Variable, Second Edition presents the essential topics in the study of the techniques and theorems of calculus. The book provides a comprehensive introduction to calculus. It contains examples, exercises, the history and development of calculus, and various applications. Some of the topics discussed in the text include the concept of limits, one-variable theory, the derivatives of all six trigonometric functions, exponential and logarithmic functions, and infinite series. This textbook is intended for use by college students.

## Details

### ISBN

978-0-12-304390-0

### Language

English

### Published

1986

### Copyright

Copyright © 1986 Elsevier Inc. All rights reserved.

### Imprint

Academic Press