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OverviewThis work covers the basic elements of difference equations and the tools of difference and sum calculus necessary for studying and solving, primarily, ordinary linear difference equations. It contains examples from various fields of applications. These examples are presented in the first chapter and then discussed with their detailed solutions in Chapters 2-7. A particular feature is the use of the discrete Fourier transforms for solving difference equations associated with, generally nonhomogeneous, boundary conditions. Emphasis is placed on illustrating this new method by means of applications. The primary goal of the book is to serve as a primer for a first course in linear difference equations but, with the addition of more theory and applications, the book is suitable for more advanced courses. In addition to students from mathematics and applied fields the book should be of value to academic and industrial researchers who are interested in applications. Full Product DetailsAuthor: A.J. JerriPublisher: Springer Imprint: Springer Edition: 1996 ed. Volume: 363 Dimensions: Width: 15.60cm , Height: 2.50cm , Length: 23.40cm Weight: 1.830kg ISBN: 9780792339403ISBN 10: 0792339401 Pages: 442 Publication Date: 29 February 1996 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1 Sequences and Difference Operators.- 2 Sum Calculus and the Discrete Transforms Methods.- 3 Basic Methods of Solving Linear Difference Equations.- 4 Discrete Fourier Transforms.- 5 The Discrete Sine (DST) and Cosine (DCT) Transforms for Boundary Value Problems.- 6 The z-Transform for Initial Value Problems.- 7 Modeling with Difference Equations.- References.- Answers to Exercises.- Index of Notations.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |