Categories for the Working Mathematician - Couverture souple

Mac Lane, Saunders Mac

 
9781441931238: Categories for the Working Mathematician
Couverture souple
ISBN 10 : 1441931236 ISBN 13 : 9781441931238
Editeur : Springer, 2010

Synopsis

This new edition of Categories for the Working Mathematician 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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 that have recently come into prominence. The bibliography has also been expanded to cover some of the many other recent advances concerning categories.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2010
Langue
anglais
ISBN 10 
1441931236
ISBN 13 
9781441931238
Reliure
Broché
Numéro d'édition
2
Nombre de pages
332
Coordonnées du fabricant
non disponible
Personne responsable
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Allemagne

Autres éditions populaires du même titre

9780387984032: Categories for the Working Mathematician

Edition présentée

ISBN 10 :  0387984038 ISBN 13 :  9780387984032
Editeur : Springer-Verlag New York Inc., 1998
Couverture rigide