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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