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Category: Science & Geography
The author of the book: Saunders Mac Lane
Format files: PDF, EPUB, TXT, DOCX
The size of the: 13.18 MB
Language: English
ISBN13: 9780387984032
Edition: SpringerVerlag New York Inc.
Date of issue: 25 September 1998

Description of the book "Categories for the Working Mathematician":
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 adjointlike data and characterised by Beck's theorem PDF. 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 2categories and the higher dimensional categories which have recently come into prominence.
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Saunders Mac Lane
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