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Categories for the working mathematician

Author: Saunders Mac Lane
Publisher: New York : Springer, [1978]
Series: Graduate texts in mathematics, 5.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
Categories for the Working Mathematician provides 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. The book 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  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Saunders Mac Lane
ISBN: 9781475747218 1475747217
OCLC Number: 851741862
Language Note: English.
Description: 1 online resource (xii, 317 pages)
Contents: I. Categories, Functors, and Natural Transformations --
II. Constructions on Categories --
III. Universals and Limits --
IV. Adjoints --
V Limits --
VI. Monads and Algebras --
VII. Monoids --
VIII. Abelian Categories --
IX. Special Limits --
X. Kan Extensions --
XI. Symmetry and Braiding in Monoidal Categories --
XII. Structures in Categories --
Appendix. Foundations --
Table of Standard Categories: Objects and Arrows --
Table of Terminology.
Series Title: Graduate texts in mathematics, 5.
Responsibility: Saunders Mac Lane.


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  Read more...


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From the reviews of the second edition:"The book under review is an introduction to the theory of categories which, as the title suggests, is addressed to the (no-nonsense) working mathematician, Read more...

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