## Browse content

### Table of contents

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#### 1 - Functions and Graphs

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

Pages 55-106 - Book chapterAbstract only
#### 3 - Applications of Differentiation

Pages 107-154 - Book chapterAbstract only
#### 4 - Exponential and Trigonometric Functions

Pages 155-203 - Book chapterAbstract only
#### 5 - Integration

Pages 204-261 - Book chapterAbstract only
#### 6 - Applications of Integration

Pages 262-298 - Book chapterAbstract only
#### 7 - Inverse Functions

Pages 299-356 - Book chapterAbstract only
#### 8 - Techniques of Integration

Pages 357-391 - Book chapterAbstract only
#### 9 - Plane Analytic Geometry

Pages 392-446 - Book chapterAbstract only
#### 10 - Approximation

Pages 447-524 - Book chapterAbstract only
#### 11 - Convergence

Pages 525-577 - Book chapterAbstract only
#### 12 - Power Series

Pages 578-627 - Book chapterAbstract only
#### 13 - Space Geometry and Vectors

Pages 628-674 - Book chapterAbstract only
#### 14 - Vector Functions and Curves

Pages 675-717 - Book chapterAbstract only
#### 15 - Functions of Several Variables

Pages 718-793 - Book chapterAbstract only
#### 16 - Higher Partials and Applications

Pages 794-830 - Book chapterAbstract only
#### 17 - Double Integrals

Pages 831-890 - Book chapterAbstract only
#### 18 - Multiple Integrals

Pages 891-951 - Book chapterNo access
#### Numerical Tables

Pages A1-A10 - Book chapterNo access
#### Answers to Odd-Numbered Exercises

Pages A11-A81 - Book chapterNo access
#### Index

Pages A83-A90

## About the book

### Description

Calculus with Analytic Geometry presents the essentials of calculus with analytic geometry. The emphasis is on how to set up and solve calculus problems, that is, how to apply calculus. The initial approach to each topic is intuitive, numerical, and motivated by examples, with theory kept to a bare minimum. Later, after much experience in the use of the topic, an appropriate amount of theory is presented. Comprised of 18 chapters, this book begins with a review of some basic pre-calculus algebra and analytic geometry, paying particular attention to functions and graphs. The reader is then introduced to derivatives and applications of differentiation; exponential and trigonometric functions; and techniques and applications of integration. Subsequent chapters deal with inverse functions, plane analytic geometry, and approximation as well as convergence, and power series. In addition, the book considers space geometry and vectors; vector functions and curves; higher partials and applications; and double and multiple integrals. This monograph will be a useful resource for undergraduate students of mathematics and algebra.

Calculus with Analytic Geometry presents the essentials of calculus with analytic geometry. The emphasis is on how to set up and solve calculus problems, that is, how to apply calculus. The initial approach to each topic is intuitive, numerical, and motivated by examples, with theory kept to a bare minimum. Later, after much experience in the use of the topic, an appropriate amount of theory is presented. Comprised of 18 chapters, this book begins with a review of some basic pre-calculus algebra and analytic geometry, paying particular attention to functions and graphs. The reader is then introduced to derivatives and applications of differentiation; exponential and trigonometric functions; and techniques and applications of integration. Subsequent chapters deal with inverse functions, plane analytic geometry, and approximation as well as convergence, and power series. In addition, the book considers space geometry and vectors; vector functions and curves; higher partials and applications; and double and multiple integrals. This monograph will be a useful resource for undergraduate students of mathematics and algebra.

## Details

### ISBN

978-0-12-259672-8

### Language

English

### Published

1978

### Copyright

Copyright © 1978 Elsevier Inc. All rights reserved.

### Imprint

Academic Press