Sets for Mathematics

Name: Sets for Mathematics
Brand: Cambridge University Press
SKU: 9780521804448
Price: 838.34 RON
Availability: InStock

Autor: Lawvere, F. William (State University of New York, Buffalo), Rosebrugh, Robert (Mount Allison University, Canada)

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Legare: Copertă tare

Editura: Cambridge University Press

Disponibilitate: În depozitul extern

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Advanced undergraduate or beginning graduate students need a unified foundation for their study of g...

Informații despre carte

Autor

Lawvere, F. William (State University of New York, Buffalo), Rosebrugh, Robert (Mount Allison University, Canada)

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2003

Pagini

276

EAN

9780521804448

ISBN

0521804442

Enbook ID

02044090

Editura

Cambridge University Press

Greutate

640

Dimensiuni

265 x 182 x 22

Descriere completă

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.

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Sets for Mathematics

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