03052nam 22005774a 450 991082278950332120240404151752.01-281-93585-99786611935856981-279-548-0(CKB)1000000000537853(StDuBDS)AH24685190(SSID)ssj0000140720(PQKBManifestationID)11151293(PQKBTitleCode)TC0000140720(PQKBWorkID)10053490(PQKB)11316266(MiAaPQ)EBC1681267(WSP)00005133(Au-PeEL)EBL1681267(CaPaEBR)ebr10255425(CaONFJC)MIL193585(OCoLC)815752567(EXLCZ)99100000000053785320021003d2003 uy 0engur|||||||||||txtccrDoing mathematics convention, subject, calculation, analogy /Martin H. Krieger1st ed.River Edge, NJ World Scientificc20031 online resource (472p. ) illustrationsBibliographic Level Mode of Issuance: Monograph981-238-200-3 Includes bibliographical references (p. 401-433) and index.Convention: How Means and Variances are Entrenched as Statistics; Subject: The Fields of Topology; Appendix: The Two-Dimensional Ising Model of a Ferromagnet; Calculation: Strategy, Structure, and Tactics in Applying Classical Analysis; Analogy: A Syzygy Between a Research Program in Mathematics and a Research Program in Physics, Each of Which is Itself an Analogy; Mathematics in Concreto.A discussion of ways of doing mathematical work. It argues that the conventions we adopt, the subject areas we delimit, what we can prove and calculate about the physical world, and the analogies that work for mathematicians - all depend on mathematics, what will work out and what won't.A discussion of some ways of doing mathematical work and the subject matter that is being worked upon and created. It argues that the conventions we adopt, the subject areas we delimit, what we can prove and calculate about the physical world, and the analogies that work for mathematicians - all depend on mathematics, what will work out and what won't. And the mathematics, as it is done, is shaped and supported, or not, by convention, subject matter, calculation, and analogy. The cases studied include the central limit theorem of statistics, the sound of the shape of a drum, the connection between algebra and topology, the stability of matter, the Ising model, and the Langlands Program in number theory and representation theory.MathematicsResearchMathematicsResearch.510Krieger Martin H125017MiAaPQMiAaPQMiAaPQBOOK9910822789503321Doing mathematics3998579UNINA