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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