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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