Calculus and Its Applications

Calculus and Its Applications

1st Edition - January 1, 1963

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  • Authors: P. Mainardi, H. Barkan
  • eBook ISBN: 9781483195605

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Description

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

    Index

Product details

  • No. of pages: 544
  • Language: English
  • Copyright: © Pergamon 1963
  • Published: January 1, 1963
  • Imprint: Pergamon
  • eBook ISBN: 9781483195605

About the Authors

P. Mainardi

H. Barkan

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