04052nam a22004695i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003100118040002500149050001000174072001700184072002300201072001600224082001600240082001500256100007600271245008700347250001900434264004600453300003500499336002600534337002600560338003600586347002400622490005100646505041600697520195601113650002603069650003503095650011203130650008503242710003403327773002003361776003603381776003603417776003603453830005103489856004203540978-0-387-27602-1DE-He21320181203160145.0cr nn 008mamaa100301s2005 xxu| s |||| 0|eng d a97803872760217 a10.1007/0-387-27602-52doi aISI Library, Kolkata 4aQA431 7aPBKJ2bicssc 7aMAT0340002bisacsh 7aPBKJ2thema04a515.62522304a515.752231 aElaydi, Saber.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut13aAn Introduction to Difference Equationsh[electronic resource] /cby Saber Elaydi. aThird Edition. 1aNew York, NY :bSpringer New York,c2005. aXXII, 540 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aUndergraduate Texts in Mathematics,x0172-60560 aDynamics of First-Order Difference Equations -- Linear Difference Equations of Higher Order -- Systems of Linear Difference Equations -- Stability Theory -- Higher-Order Scalar Difference Equations -- The Z-Transform Method and Volterra Difference Equations -- Oscillation Theory -- Asymptotic Behavior of Difference Equations -- Applications to Continued Fractions and Orthogonal Polynomials -- Control Theory. aThe book integrates both classical and modern treatments of difference equations. It contains the most updated and comprehensive material, yet the presentation is simple enough for the book to be used by advanced undergraduate and beginning graduate students. This third edition includes more proofs, more graphs, and more applications. The author has also updated the contents by adding a new chapter on Higher Order Scalar Difference Equations, along with recent results on local and global stability of one-dimensional maps, a new section on the various notions of asymptoticity of solutions, a detailed proof of Levin-May Theorem, and the latest results on the LPA flour-beetle model. Saber Elaydi is Professor of Mathematics at Trinity University. He is also the author of Discrete Chaos (1999), and the Editor-In-Chief of the Journal of Difference Equations and Applications. About the Second Edition: The book is a valuable reference for anyone who models discrete systems. Dynamicists have the long-awaited discrete counterpart to standard textbooks such as Hirsch and Smale ('Differential Equations, Dynamical Systems, and Linear Algebra'). It is so well written and well designed, and the contents are so interesting to me, that I had a difficult time putting it down. - Shandelle Henson, Journal of Difference Equations and Applications Among the few introductory texts to difference equations this book is one of the very best ones. It has many features that the other texts don't have, e.g., stability theory, the Z-transform method (including a study of Volterra systems), and asymptotic behavior of solutions of difference equations (including Levinson's lemma) are studied extensively. It also contains very nice examples that primarily arise in applications in a variety of disciplines, including neural networks, feedback control, biology, Markov chains, economics, and heat transfer... -Martin Bohner, University of Missouri, Rolla. 0aFunctional equations. 0aGlobal analysis (Mathematics).14aDifference and Functional Equations.0http://scigraph.springernature.com/things/product-market-codes/M1203124aAnalysis.0http://scigraph.springernature.com/things/product-market-codes/M120072 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z978038750233508iPrinted edition:z978144192001008iPrinted edition:z9780387230597 0aUndergraduate Texts in Mathematics,x0172-605640uhttps://doi.org/10.1007/0-387-27602-5