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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.
Nákup knihy
Categories for the Working Mathematician, Saunders Mac Lane
- Jazyk
- Rok vydania
- 2010
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- Jazyk
- anglicky
- Autori
- Saunders Mac Lane
- Vydavateľ
- Springer New York
- Rok vydania
- 2010
- Väzba
- mäkká
- Počet strán
- 332
- ISBN13
- 9781441931238
- Série
- Štítky
- Náučná literatúra, Učebnice, Príručky a návody, Učebnice matematiky, Vedecké teórie, Logika, Algebra
- Hodnotenie
- 4,4 z 5
- Anotácia
- 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.