LEADER 03642nam 22006375 450 001 9910257391003321 005 20251117004519.0 010 $a3-540-40357-4 024 7 $a10.1007/b94662 035 $a(CKB)1000000000231144 035 $a(SSID)ssj0000322672 035 $a(PQKBManifestationID)12117614 035 $a(PQKBTitleCode)TC0000322672 035 $a(PQKBWorkID)10287104 035 $a(PQKB)11380298 035 $a(DE-He213)978-3-540-40357-9 035 $a(PPN)155183575 035 $a(EXLCZ)991000000000231144 100 $a20121227d2004 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aDiscrete Integrable Systems /$fedited by Basil Grammaticos, Yvette Kosmann-Schwarzbach, Thamizharasi Tamizhmani 205 $a1st ed. 2004. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2004. 215 $a1 online resource (XVIII, 441 p.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v644 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-21425-9 327 $aThree Lessons on the Painlevé Property and the Painlevé Equations (M.D. Kruskal, B. Grammaticos, T. Tamizhmani) -- Sato Theory and Transformation Groups. A Unified Approach to Integrable Systems (R. Willox, J. Satsuma) -- Special Solutions of Discrete Integrable Systems (Y. Ohta) -- Discrete Differential Geometry. Integrability as Consistency (A.I. Bobenko) -- Discrete Lagrangian Models (Yu.B. Suris) -- Symmetries of Discrete Systems (P. Winternitz) -- Discrete Painlevé Equations: A Review (B. Grammaticos, A. Ramani) -- Special Solutions for Discrete Painlevé Equations (K.M. Tamizhmani, T. Tamizhmani, B. Grammaticos, A. Ramani) -- Ultradiscrete Systems (Cellular Automata) (T. Tokihiro) -- Time in Science: Reversibility vs. Irreversibility (Y. Pomeau). 330 $aThis volume consists of a set of ten lectures conceived as both introduction and up-to-date survey on discrete integrable systems. It constitutes a companion book to "Integrability of Nonlinear Systems" (Springer-Verlag, 2004, LNP 638, ISBN 3-540-20630-2). Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v644 606 $aPhysics 606 $aDynamics 606 $aErgodic theory 606 $aDifferential equations, Partial 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aPhysics. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aDifferential equations, Partial. 615 14$aMathematical Methods in Physics. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aPartial Differential Equations. 676 $a515.45 702 $aGrammaticos$b Basil$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKosmann-Schwarzbach$b Yvette$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aTamizhmani$b T$g(Thamizharasi),$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910257391003321 996 $aDiscrete integrable systems$9669748 997 $aUNINA