Linear Differential and Difference Equations

Linear Differential and Difference Equations

A Systems Approach for Mathematicians and Engineers

1st Edition - June 1, 1997

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  • Author: R. M. Johnson
  • eBook ISBN: 9780857099808

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Description

This text for advanced undergraduates and graduates reading applied mathematics, electrical, mechanical, or control engineering, employs block diagram notation to highlight comparable features of linear differential and difference equations, a unique feature found in no other book. The treatment of transform theory (Laplace transforms and z-transforms) encourages readers to think in terms of transfer functions, i.e. algebra rather than calculus. This contrives short-cuts whereby steady-state and transient solutions are determined from simple operations on the transfer functions.

Key Features

  • Employs block diagram notation to highlight comparable features of linear differential and difference equations
  • The treatment of transform theory (Laplace transforms and z-transforms) encourages readers to think in terms of transfer functions, i.e. algebra rather than calculus

Readership

Advanced undergraduate students and graduate students studying applied mathematics, electrical, mechanical, or control engineering

Table of Contents

  • Part 1 Continuous systems: An approach to the laplace transform; Solution of linear-differential equations; Steady state oscillations; Piece-wise continuous functions. Part 2 Discrete systems: From the ideal sampler to the Z-transform; Solution of linear difference equations; Digital filters.

Product details

  • No. of pages: 176
  • Language: English
  • Copyright: © Woodhead Publishing 1997
  • Published: June 1, 1997
  • Imprint: Woodhead Publishing
  • eBook ISBN: 9780857099808

About the Author

R. M. Johnson

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