LEADER 03163nam 22007575 450 001 9910146313303321 005 20250730104725.0 010 $a3-540-46699-1 024 7 $a10.1007/BFb0093959 035 $a(CKB)1000000000437291 035 $a(SSID)ssj0000322864 035 $a(PQKBManifestationID)12124902 035 $a(PQKBTitleCode)TC0000322864 035 $a(PQKBWorkID)10295944 035 $a(PQKB)11409866 035 $a(DE-He213)978-3-540-46699-4 035 $a(MiAaPQ)EBC5595428 035 $a(Au-PeEL)EBL5595428 035 $a(OCoLC)1076260681 035 $a(MiAaPQ)EBC6745482 035 $a(Au-PeEL)EBL6745482 035 $a(OCoLC)1113033534 035 $a(PPN)155207253 035 $a(EXLCZ)991000000000437291 100 $a20121227d1999 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aElemental Methods in Ergodic Ramsey Theory /$fby Randall McCutcheon 205 $a1st ed. 1999. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1999. 215 $a1 online resource (VI, 166 p.) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1722 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-66809-8 327 $aRamsey theory and topological dynamics -- Infinitary Ramsey theory -- Density Ramsey theory -- Three ergodic roth theorems -- Two Szemerédi theorems. 330 $aThis book, suitable for graduate students and professional mathematicians alike, didactically introduces methodologies due to Furstenberg and others for attacking problems in chromatic and density Ramsey theory via recurrence in topological dynamics and ergodic theory, respectively. Many standard results are proved, including the classical theorems of van der Waerden, Hindman, and Szemerédi. More importantly, the presentation strives to reflect the extent to which the field has been streamlined since breaking onto the scene around twenty years ago. Potential readers who were previously intrigued by the subject matter but found it daunting may want to give a second look. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v1722 606 $aDiscrete mathematics 606 $aGlobal analysis (Mathematics) 606 $aManifolds (Mathematics) 606 $aFunctions of real variables 606 $aDiscrete Mathematics 606 $aGlobal Analysis and Analysis on Manifolds 606 $aReal Functions 615 0$aDiscrete mathematics. 615 0$aGlobal analysis (Mathematics) 615 0$aManifolds (Mathematics) 615 0$aFunctions of real variables. 615 14$aDiscrete Mathematics. 615 24$aGlobal Analysis and Analysis on Manifolds. 615 24$aReal Functions. 676 $a515.42 686 $a05D10$2msc 686 $a28D05$2msc 686 $a54H05$2msc 700 $aMcCutcheon$b Randall$f1965-$063028 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146313303321 996 $aElemental methods in ergodic Ramsey theory$978737 997 $aUNINA