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Viac informácií o knihe Sets for Mathematics

• Parametre knihy
• Anotácia kniha
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Nákupom získate 638 bodov

Anotácia knihy

Advanced undergraduate or beginning graduate students need a unified foundation for their study of geometry, analysis, and algebra. For the first time in a text, this book 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 cohesive 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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Mathematical foundations

• Celý názov: Sets for Mathematics
• Autor: Lawvere, F. William (State University of New York, Buffalo), Rosebrugh, Robert (Mount Allison University, Canada)
• Jazyk: Angličtina
• Väzba: Pevná
• Počet strán: 276
• EAN: 9780521804448
• ISBN: 0521804442
• ID: 02044090
• Nakladateľ: Cambridge University Press
• Hmotnosť: 640 g
• Rozmery: 182 × 265 × 22 mm
• Dátum vydania: 20. January 2003

Obľúbené z iného súdka

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