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Roads to Infinity

★★★★★
★★★★★

English

By (author): John Stillwell

Winner of a CHOICE Outstanding Academic Title Award for 2011!

This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is historical and partly informal, but with due attention to the subtleties of the subject.

Ideas are shown to evolve from natural mathematical questions about the nature of infinity and the nature of proof, set against a background of broader questions and developments in mathematics. A particular aim of the book is to acknowledge some important but neglected figures in the history of infinity, such as Post and Gentzen, alongside the recognized giants Cantor and Gödel.

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€56.99
A01=John StillwellAge Group_UncategorizedAuthor_John Stillwellautomatic-updateBorel SetsCategory1=Non-FictionCategory=PBCHCategory=PBDCombinatoricsConsistency ProofCOP=United KingdomCountable OrdinalsCPCACut RuleDelivery_Pre-orderDiagonal Argumenteq_isMigrated=2Finite OrdinalsIncompleteness TheoremJohn StillwellLanguage_EnglishLarge CardinalLarge Cardinal AxiomsMeasurable CardinalsNondeterministic Turing MachineNth DigitNumber theoryOrdinal NumbersPAPA=Not yet availablePositive IntegersPredicate LogicPrice_€50 to €100Propositional LogicPS=ForthcomingRamsey TheoremRamsey TheorysoftlaunchTheoretical MathematicsTransfinite InductionTransfinite Ordinal NumbersTuring MachineUncountable SetUnprovable Sentences

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Product Details
  • Weight: 453g
  • Dimensions: 152 x 229mm
  • Publication Date: 14 Oct 2024
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Language: English
  • ISBN13: 9781032927145

About John Stillwell

John Stillwell was born in Melbourne, Australia in 1942 and educated at Melbourne High School, the University of Melbourne (M.Sc. 1965), and MIT (Ph.D. 1970). From 1970 to 2001 he taught at Monash University in Melbourne, and since 2002 he has been Professor of Mathematics at the University of San Francisco. He has been an invited speaker at several international conferences, including the International Congress of Mathematicians in Zurich 1994. His works cover a wide spectrum of mathematics, from translations of classics by Dirichlet, Dedekind, Poincare, and Dehn to books on algebra, geometry, topology, number theory, and their history. For his expository writing he was awarded the Chauvenet Prize of the Mathematical Association of America in 2005, and the AJCU National Book Award in 2009. Recent titles by Stillwell include Yearning for the Impossible, Mathematics and Its History, The Four Pillars of Geometry, and Geometry of Surfaces.

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