Sets for Mathematics

Name: Sets for Mathematics
Brand: Cambridge University Press
SKU: 9780521804448
Price: 642.18 PLN
Availability: InStock

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

Język:

Oprawa: Twarda

Wydawca: Cambridge University Press

Dostępność: Dostępna u dostawcy

Wysyłamy za 10-18 dni

642.18 zł

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

Informacje o książce

Autor

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

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

2003

strony

276

EAN

9780521804448

ISBN

0521804442

Enbook ID

02044090

Wydawca

Cambridge University Press

Waga

640

Wymiary

265 x 182 x 22

Pełny opis

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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