LEADER 02851nam 22005535 450 001 9910338257603321 005 20200701083150.0 010 $a3-030-17956-7 024 7 $a10.1007/978-3-030-17956-4 035 $a(CKB)4100000008280575 035 $a(DE-He213)978-3-030-17956-4 035 $a(MiAaPQ)EBC5923166 035 $a(PPN)23652187X 035 $a(EXLCZ)994100000008280575 100 $a20190523d2019 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNonstandard Methods in Ramsey Theory and Combinatorial Number Theory /$fby Mauro Di Nasso, Isaac Goldbring, Martino Lupini 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XVI, 206 p. 2 illus.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2239 311 $a3-030-17955-9 320 $aIncludes bibliographical references and index. 330 $aThe goal of this monograph is to give an accessible introduction to nonstandard methods and their applications, with an emphasis on combinatorics and Ramsey theory. It includes both new nonstandard proofs of classical results and recent developments initially obtained in the nonstandard setting. This makes it the first combinatorics-focused account of nonstandard methods to be aimed at a general (graduate-level) mathematical audience. This book will provide a natural starting point for researchers interested in approaching the rapidly growing literature on combinatorial results obtained via nonstandard methods. The primary audience consists of graduate students and specialists in logic and combinatorics who wish to pursue research at the interface between these areas. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2239 606 $aCombinatorics 606 $aMathematical logic 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 606 $aMathematical Logic and Foundations$3https://scigraph.springernature.com/ontologies/product-market-codes/M24005 615 0$aCombinatorics. 615 0$aMathematical logic. 615 14$aCombinatorics. 615 24$aMathematical Logic and Foundations. 676 $a511.66 676 $a511.6 700 $aDi Nasso$b Mauro$4aut$4http://id.loc.gov/vocabulary/relators/aut$0769114 702 $aGoldbring$b Isaac$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aLupini$b Martino$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910338257603321 996 $aNonstandard Methods in Ramsey Theory and Combinatorial Number Theory$92514552 997 $aUNINA