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Categories for the Working Mathematician

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Focusing on foundational concepts, this book explores category theory, covering essential topics like functors, natural transformations, and duality. It delves into adjoint functors, universal constructions, and the manipulation of limits, illustrated with numerous applications. The text also constructs categories of algebraic systems and discusses Kan extensions. The second edition features revisions, two new chapters on symmetric and braided monoidal categories, and 2-categories, along with an expanded bibliography reflecting recent advancements in the field.

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Categories for the Working Mathematician, Saunders Mac Lane

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Released
2010
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Language
English
Released
2010
Format
Paperback
Pages
332
ISBN13
9781441931238
Series
Rating
4.4 out of 5
Description
Focusing on foundational concepts, this book explores category theory, covering essential topics like functors, natural transformations, and duality. It delves into adjoint functors, universal constructions, and the manipulation of limits, illustrated with numerous applications. The text also constructs categories of algebraic systems and discusses Kan extensions. The second edition features revisions, two new chapters on symmetric and braided monoidal categories, and 2-categories, along with an expanded bibliography reflecting recent advancements in the field.