03163nam 22007575 450 991014631330332120250730104725.03-540-46699-110.1007/BFb0093959(CKB)1000000000437291(SSID)ssj0000322864(PQKBManifestationID)12124902(PQKBTitleCode)TC0000322864(PQKBWorkID)10295944(PQKB)11409866(DE-He213)978-3-540-46699-4(MiAaPQ)EBC5595428(Au-PeEL)EBL5595428(OCoLC)1076260681(MiAaPQ)EBC6745482(Au-PeEL)EBL6745482(OCoLC)1113033534(PPN)155207253(EXLCZ)99100000000043729120121227d1999 u| 0engurnn#008mamaatxtccrElemental Methods in Ergodic Ramsey Theory /by Randall McCutcheon1st ed. 1999.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1999.1 online resource (VI, 166 p.)Lecture Notes in Mathematics,1617-9692 ;1722Bibliographic Level Mode of Issuance: Monograph3-540-66809-8 Ramsey theory and topological dynamics -- Infinitary Ramsey theory -- Density Ramsey theory -- Three ergodic roth theorems -- Two Szemerédi theorems.This 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.Lecture Notes in Mathematics,1617-9692 ;1722Discrete mathematicsGlobal analysis (Mathematics)Manifolds (Mathematics)Functions of real variablesDiscrete MathematicsGlobal Analysis and Analysis on ManifoldsReal FunctionsDiscrete mathematics.Global analysis (Mathematics)Manifolds (Mathematics)Functions of real variables.Discrete Mathematics.Global Analysis and Analysis on Manifolds.Real Functions.515.4205D10msc28D05msc54H05mscMcCutcheon Randall1965-63028MiAaPQMiAaPQMiAaPQBOOK9910146313303321Elemental methods in ergodic Ramsey theory78737UNINA