Cover for Calculus

Calculus

Book • Third Edition1984

Author:

STANLEY I. GROSSMAN

Calculus

Book • Third Edition1984

 

Cover for Calculus

Author:

STANLEY I. GROSSMAN

About the book

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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 discus ... read full description

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  2. Book chapterAbstract only

    1 - Preliminaries

    Pages 1-54

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    2 - Limits and Derivatives

    Pages 55-136

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    3 - More about Derivatives

    Pages 137-191

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    4 - Applications of the Derivative

    Pages 192-264

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    5 - The Integral

    Pages 265-348

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    6 - Exponentials and Logarithms

    Pages 349-425

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    7 - More on Trigonometric Functions and the Hyperbolic Functions

    Pages 426-461

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    8 - Techniques of Integration

    Pages 462-526

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    9 - Further Applications of the Definite Integral

    Pages 527-576

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    10 - Topics in Analytic Geometry

    Pages 577-607

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    11 - Polar Coordinates

    Pages 608-640

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    12 - Indeterminate Forms and Improper Integrals

    Pages 641-666

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    13 - Taylor Polynomials and Approximation

    Pages 667-688

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    14 - Sequences and Series

    Pages 689-756

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    15 - Vectors in the Plane

    Pages 757-781

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    16 - Vector Functions, Vector Differentiation, and Parametric Equations

    Pages 782-837

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    17 - Vectors in Space

    Pages 838-899

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    18 - Differentiation of Functions of Two and Three Variables

    Pages 900-996

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    19 - Multiple Integration

    Pages 997-1055

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    20 - Introduction to Vector Analysis

    Pages 1056-1133

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    21 - Ordinary Differential Equations

    Pages 1134-1178

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    Appendix 1 - Review of Trigonometry

    Pages A1-A16

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    Appendix 2 - Mathematical Induction

    Pages A17-A21

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    Appendix 3 - Determinants

    Pages A22-A32

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    Appendix 4 - The Binomial Theorem

    Pages A33-A36

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    Appendix 5 - The Proofs of Some Theorems on Limits, Continuity, and Differentiation

    Pages A37-A46

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    Appendix 6 - Complex Numbers

    Pages A47-A55

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    TABLES

    Pages A56-A68

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    Answers to Odd-Numbered Problems and Review Exercises

    Pages A69-A147

  31. 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

Authors

STANLEY I. GROSSMAN

University of Montana