Linear Differential and Difference Equations: A Systems Approach for Mathematicians and Engineers

Linear Differential and Difference Equations: A Systems Approach for Mathematicians and Engineers

by R. M. Johnson
     
 

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

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Overview

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.

Product Details

ISBN-13:
9781898563129
Publisher:
Elsevier Science
Publication date:
06/28/1997
Series:
Albion Mathematics and Applications Series
Pages:
176
Product dimensions:
6.62(w) x 9.40(h) x 0.34(d)

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.

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