|axxii, 533 pages :|billustrations (black and white) ;|c24 cm
|aMonographs and research notes in mathematics
|a"A Chapman & Hall book."
|aIncludes bibliographical references (page 523-526) and index.
|aThe difference calculus -- First-order difference equations -- Linear difference equations -- Linear difference equations -- Linear partial difference equations -- Nonlinear difference equations -- Applications -- Advanced topics -- Advanced applications -- Appendixes: A. Algebraic relations -- B. Trigonometric relations -- C. Continuous functions -- D. Partial expansions -- E. The Vandermonde determinant -- F. Sequences -- G. Gamma function -- H. Principle of mathematical induction.
內容簡介top Difference Equations 簡介 This book covers many important classes of difference equations, including general, linear, first, second, and Nth order, along with nonlinear equations, partial difference equations, functional equations, and Nth order equations having constant coefficients. It presents a wide range of techniques for calculating exact and approximate solutions. Numerous worked examples illustrate the use of the methodologies. This edition includes new chapters on advanced topics, such as asymptotic behavior of solutions and functional equations, as well as problems that have appeared in the recent mathematical literature.