Calculus and Its Applications - 1st Edition - ISBN: 9781483168128, 9781483195605

Calculus and Its Applications

1st Edition

Authors: P. Mainardi H. Barkan
eBook ISBN: 9781483195605
Imprint: Pergamon
Published Date: 1st January 1963
Page Count: 544
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Calculus and its Applications provides information pertinent to the applications of calculus. This book presents the trapping technique in defining geometrical and physical entities that are usually regarded as limits of sums.

Organized into 20 chapters, this book begins with an overview of the notion of average speed that seems to appear first as a qualitative concept. This text then presents the concepts of external and internal parameters to increase the appreciation of parametric functions. Other chapters consider separable differential equations with more detail than usual with their suitability in describing physical laws. This book discusses as well the study of variable quantities whose magnitude is determined by the magnitudes of several other variables. The final chapter deals with a homogeneous differential equation and auxiliary equations consisting imaginary roots.

This book is a valuable resource for mathematicians and students. Readers whose interests span a variety of fields will also find this book useful.

Table of Contents

I Fundamental Ideas

II Derivative

III Differentiation and Applications

IV Higher Order Derivatives

V Trigonometric Functions

VI Exponential and Logarithmic Functions

VII Differentials and Parametric Equations

VIII Vectors

IX Anti-Differentiation

X Separable Differential Equations

XI Definite Integral

XII Applications of the Definite Integral

XIII Additional Applications

XIV Technique of Integration

XV Approximate Integration

XVI Solid Analytic Geometry

XVII Multiple Integrals

XVIII Indefinite Series

XIX Differentiation

XX Differential Equations

Table of Integrals

Numerical Tables

Answers to Odd-Numbered Problems



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© Pergamon 1963
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About the Author

P. Mainardi

H. Barkan

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