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

ISBN-13: 9781898563129 / Angielski / Miękka / 1997 / 176 str.

R. M. Johnson

Opis

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

Recenzje

Should find wide application by undergraduate students in engineering and computer science. The author is to be congratulated on the importance that he attaches to conveying the parallelism of continuous and discrete systems., Institute of Electrical Engineers (IEE) Proceedings

Spis treści

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.