Items related to Categories for the Working Mathematician: 5 (Graduate...
Synopsis
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.
"synopsis" may belong to another edition of this title.
Review
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, thus presenting the ideas and concepts of Category Theory in a broad context of mainstream examples (primarily from algebra). ... the book remains an authoritative source on the foundations of the theory and an accessible first introduction to categories. ... It is very well-written, with plenty of interesting discussions and stimulating exercises.” (Ittay Weiss, MAA Reviews, July, 2014)
Second Edition
S.M. Lane
Categories for the Working Mathematician
"A very useful introduction to category theory."―INTERNATIONALE MATHEMATISCHE NACHRICHTEN
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2010
- ISBN 10 1441931236
- ISBN 13 9781441931238
- BindingPaperback
- LanguageEnglish
- Number of pages330
Other Popular Editions of the Same Title
Search results for Categories for the Working Mathematician: 5 (Graduate...
Seller Image
Categories for the Working Mathematician
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 11988958
Quantity: Over 20 available
Stock Image
Categories for the Working Mathematician (Graduate Texts in Mathematics)
Seller: Best Price, Torrance, CA, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. SUPER FAST SHIPPING. Seller Inventory # 9781441931238
Quantity: 2 available
Seller Image
Categories for the Working Mathematician
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 11988958-n
Quantity: Over 20 available
Stock Image
Categories for the Working Mathematician (Graduate Texts in Mathematics)
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Mar2411530294721
Quantity: Over 20 available
Seller Image
Categories for the Working Mathematician
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 11988958
Quantity: Over 20 available
Stock Image
Categories for the Working Mathematician (Graduate Texts in Mathematics)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9781441931238_new
Quantity: Over 20 available
Stock Image
Categories for the Working Mathematician (Graduate Texts in Mathematics)
Seller: California Books, Miami, FL, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # I-9781441931238
Quantity: Over 20 available
Seller Image
Categories for the Working Mathematician
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 11988958-n
Quantity: Over 20 available
Seller Image
Categories for the Working Mathematician
Published by
Springer New York Nov 2010, 2010
ISBN 10: 1441931236
ISBN 13: 9781441931238
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 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 characterized 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 two new chapters on topics of active interest. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into prominence. The bibliography has also been expanded to cover some of the many other recent advances concerning categories. 332 pp. Englisch. Seller Inventory # 9781441931238
Quantity: 2 available
Stock Image
Categories for the Working Mathematician
Published by
Springer-Verlag New York Inc., 2010
ISBN 10: 1441931236
ISBN 13: 9781441931238
New
Paperback / softback
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 518. Seller Inventory # C9781441931238
Quantity: Over 20 available