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Categories for the Working Mathematician
Af: Saunders Mac Lane Engelsk Hardback
SPAR
kr 120
Categories for the Working Mathematician
Af: Saunders Mac Lane Engelsk Hardback
An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck''s theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.
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An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck''s theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.
Produktdetaljer
Sprog: Engelsk
Sider: 318
ISBN-13: 9780387984032
Indbinding: Hardback
Udgave:
ISBN-10: 0387984038
Udg. Dato: 25 sep 1998
Længde: 23mm
Bredde: 242mm
Højde: 170mm
Oplagsdato: 25 sep 1998
Forfatter(e): Saunders Mac Lane
Forfatter(e) Saunders Mac Lane


Kategori Matematikkens fundament


Sprog Engelsk


Indbinding Hardback


Sider 318


Udgave


Længde 23mm


Bredde 242mm


Højde 170mm


Udg. Dato 25 sep 1998


Oplagsdato 25 sep 1998

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