John Stillwell: Roads to Infinity

Cover: 9781032927145 | Roads to Infinity | The Mathematics of Truth and Proof | Stillwell

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

John Stillwell was born in Melbourne, Australia in 1942 and educated at Melbourne High School, the University of Melbourne ([...]. 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.

Inhaltsverzeichnis

The Diagonal Argument
Ordinals
Logic
Arithmetic
Natural Unprovable Sentences
Axioms of Infinity

Details

Erscheinungsjahr:	2024
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Einband - flex.(Paperback)
ISBN-13:	9781032927145
ISBN-10:	1032927143
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Stillwell, John
Hersteller:	Taylor & Francis A K Peters/CRC Press
Verantwortliche Person für die EU:	Taylor & Francis Verlag GmbH, Kaufingerstr. 24, D-80331 München, gpsr@taylorandfrancis.com
Maße:	12 x 152 x 229 mm
Von/Mit:	John Stillwell
Erscheinungsdatum:	14.10.2024
Gewicht:	0,32 kg