Neuware - This book provides a broad introduction to the mathematics of difference equations and their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of difference equations. Along with more problems and an expanded bibliography, this edition includes two new chapters on special topics (such as discrete Cauchy-Euler equations) and the application of difference equations to complex problems arising in the mathematical modeling of phenomena in engineering and the natural and social sciences.

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Detalles bibliogr�ficos

T�tulo: Difference Equations : Theory, Applications and Advanced Topics, Third Edition
Editor: CRC Press M�r 2015
Fecha de publicaci�n: 2015
Idioma: Ingl�s
ISBN 10: 148223078X
ISBN 13: 9781482230789
Encuadernaci�n: Buch
Edici�n: 3� Edici�n
Estado: Neu

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Sinopsis

Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of difference equations. Along with adding several advanced topics, this edition continues to cover general, linear, first-, second-, and n-th order difference equations; nonlinear equations that may be reduced to linear equations; and partial difference equations.

New to the Third Edition

New chapter on special topics, including discrete Cauchy–Euler equations; gamma, beta, and digamma functions; Lambert W-function; Euler polynomials; functional equations; and exact discretizations of differential equations
New chapter on the application of difference equations to complex problems arising in the mathematical modeling of phenomena in engineering and the natural and social sciences
Additional problems in all chapters
Expanded bibliography to include recently published texts related to the subject of difference equations

Suitable for self-study or as the main text for courses on difference equations, this book helps readers understand the fundamental concepts and procedures of difference equations. It uses an informal presentation style, avoiding the minutia of detailed proofs and formal explanations.

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Ronald E. Mickens

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