Cover for Calculus with Analytic Geometry

Calculus with Analytic Geometry

Book1978

Authors:

Harley Flanders and Justin J. Price

Calculus with Analytic Geometry

Book1978

 

Cover for Calculus with Analytic Geometry

Authors:

Harley Flanders and Justin J. Price

About the book

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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 calc ... read full description

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  2. Book chapterAbstract only

    1 - Functions and Graphs

    Pages 1-54

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    2 - Derivatives

    Pages 55-106

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    3 - Applications of Differentiation

    Pages 107-154

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    4 - Exponential and Trigonometric Functions

    Pages 155-203

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    5 - Integration

    Pages 204-261

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    6 - Applications of Integration

    Pages 262-298

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    7 - Inverse Functions

    Pages 299-356

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    8 - Techniques of Integration

    Pages 357-391

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    9 - Plane Analytic Geometry

    Pages 392-446

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    10 - Approximation

    Pages 447-524

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    11 - Convergence

    Pages 525-577

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    12 - Power Series

    Pages 578-627

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    13 - Space Geometry and Vectors

    Pages 628-674

  15. Book chapterAbstract only

    14 - Vector Functions and Curves

    Pages 675-717

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    15 - Functions of Several Variables

    Pages 718-793

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    16 - Higher Partials and Applications

    Pages 794-830

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    17 - Double Integrals

    Pages 831-890

  19. Book chapterAbstract only

    18 - Multiple Integrals

    Pages 891-951

  20. Book chapterNo access

    Numerical Tables

    Pages A1-A10

  21. Book chapterNo access

    Answers to Odd-Numbered Exercises

    Pages A11-A81

  22. 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

Authors

Harley Flanders

Justin J. Price