Cover for Calculus of One Variable

Calculus of One Variable

Book • Second Edition1986

Author:

STANLEY I. GROSSMAN

Calculus of One Variable

Book • Second Edition1986

 

Cover for Calculus of One Variable

Author:

STANLEY I. GROSSMAN

About the book

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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 c ... 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

    1. Book chapterNo access
      Appendix 1 - Review of Trigonometry

      Pages A1-A16

    2. Book chapterNo access
      Appendix 2 - Mathematical Induction

      Pages A17-A21

    3. Book chapterNo access
      Appendix 3 - Determinants

      Pages A22-A32

    4. Book chapterNo access
      Appendix 4 - The Binomial Theorem

      Pages A33-A36

    5. 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

  17. Book chapterNo access

    Answers to Odd-Numbered Problems and Review Exercises

    Pages A60-A121

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    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

Authors

STANLEY I. GROSSMAN

University of Montana