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

✍ Scribed by R.M. Johnson (Auth.)

• Publisher: Woodhead Publishing
• Year: 1997
• Tongue: English
• Leaves: 173
• Series: Albion Mathematics & Applications
• Category: Library

✦ Synopsis

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.

• 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

✦ Table of Contents

Content:
ABOUT OUR AUTHOR, Page ii
Front Matter, Page iii
Copyright, Page iv
PREFACE, Pages vi-vii
Acknowledgements, Page vii
1 - An Approach to the Laplace Transform, Pages 1-25
2 - Solution Of Linear Differential Equations, Pages 26-61
3 - Steady State Oscillations, Pages 62-83
4 - Piecewise Continuous Functions, Pages 84-104
5 - From the Ideal Sampler to the Z-Transform, Pages 105-119
6 - Solution of Linear Difference Equations, Pages 120-140
7 - Digital Filters, Pages 141-165
Index, Pages 166-167