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9780521091800

Operational Calculus: Based on the Two-Sided Laplace Integral

by
  • ISBN13:

    9780521091800

  • ISBN10:

    0521091802

  • Edition: 2nd
  • Format: Paperback
  • Copyright: 2008-12-04
  • Publisher: Cambridge University Press

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Summary

Primarily this book is intended for application of the operational calculus to mathematics, physics and technical problems. It gives the basic principles, ideas, and theorems clearly and extensively, but also many worked-out problems from mathematical and physical as well as from technical fields. The purely mathematical treatment is more advanced than is usual in books devoted primarily to practical applications, and the book will therefore be of value to those pure mathematicians who are interested in a rapid and simple derivation of complicated and unexpected relations between various mathematical functions, as well as to the engineer in search (for example) of a very simple treatment of transient phenomena in electrical networks.

Table of Contents

General Introduction
The Fourier Integral as Basis of the Operational Calculus
Elementary Operational Images
Elementary Rules
The Delta or Impulse Function
Questions Concerning the Convergence of the Definition Integral
Asymptotic Relations and Operational Transposition of Series
Linear Differential Equations with Constant Coefficients
Simultaneous Linear Differential Equations with Constant Coefficients; Electric-Circuit Theory
Linear Differential Equations with Variable Coefficients
Operational Rules of more Complicated Character
Step Functions and Other Discontinuous Functions
Difference Equations
Integral Equations
Partial Differential Equations in the Operational Calculus of one Variable
Simultaneous Operational Calculus
Table of Contents provided by Publisher. All Rights Reserved.

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