عنوان

Categories for the working mathematician /

شابک

0387984038 (hardcover : alk. paper)

شابک

9780387984032 (hardcover : alk. paper)

شماره

b412198

عنوان اصلي

Categories for the working mathematician /

نام عام مواد

[Book]

نام نخستين پديدآور

Saunders Mac Lane

وضعيت ويراست

Second edition

نام خاص و کميت اثر

xii, 314 pages :

ساير جزييات

illustrations ;

ابعاد

25 cm

عنوان فروست

Graduate texts in mathematics ;

مشخصه جلد

5

متن يادداشت

Includes bibliographical references (pages 297-302) and index

متن يادداشت

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 -- App. Foundations -- Table of Standard Categories: Objects and Arrows

بدون عنوان

0

متن يادداشت

"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."--Jacket

موضوع مستند نشده

Categories (Mathematics)

موضوع مستند نشده

QA

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Mac Lane, Saunders,1909-2005

تاريخ عمليات

20170315082909.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y