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Sets for Mathematics

Door F. William Lawvere e.a.

Categorie	Algemeen wetenschap
Boeknummer	#342795-ZA29
Titel	Sets for Mathematics
Auteur	Lawvere, F. William & Robert Rosebrugh
Boektype	Paperback
Uitgeverij	Cambridge : University Press
Jaar van uitgave	2003
ISBN10	0521010608
ISBN13	9780521010603
Taal	Engels
Beschrijving	Paperback, illustrated with numerous equations and diagrams, 8vo.
Samenvatting	Advanced undergraduate or beginning graduate students need a unified foundation for their study of geometry, analysis, and algebra. This book, first published in 2003, uses categorical algebra to build such a foundation, starting from intuitive descriptions of mathematically and physically common phenomena and advancing to a precise specification of the nature of Categories of Sets. Set theory as the algebra of mappings is introduced and developed as a unifying basis for advanced mathematical subjects such as algebra, geometry, analysis, and combinatorics. The formal study evolves from general axioms which express universal properties of sums, products, mapping sets, and natural number recursion. The distinctive features of Cantorian abstract sets, as contrasted with the variable and cohes... (Lees verder)ive sets of geometry and analysis, are made explicit and taken as special axioms. Functor categories are introduced in order to model the variable sets used in geometry, and to illustrate the failure of the axiom of choice. An appendix provides an explicit introduction to necessary concepts from logic, and an extensive glossary provides a window to the mathematical landscape.
Pagina's	260
Conditie	Goed — Few small lines in ballpoint pen on side cut, name in pen on title page.
Prijs	€ 30,00

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