# Categories for the Working Mathematician (Graduate Texts in Mathematics)

## Saunders MacLane

Valutazione media 4,33
( su 61 valutazioni fornite da Goodreads )

Category Theory has developed rapidly. This book aims to present those ideas and methods which can now be effectively used by Mathe­ maticians working in a variety of other fields of Mathematical research. This occurs at several levels. On the first level, categories provide a convenient conceptual language, based on the notions of category, functor, natural transformation, contravariance, and functor category. These notions are presented, with appropriate examples, in Chapters I and II. Next comes the fundamental idea of an adjoint pair of functors. This appears in many substantially equivalent forms: That of universal construction, that of direct and inverse limit, and that of pairs offunctors with a natural isomorphism between corresponding sets of arrows. All these forms, with their interrelations, are examined in Chapters III to V. The slogan is "Adjoint functors arise everywhere". Alternatively, the fundamental notion of category theory is that of a monoid -a set with a binary operation of multiplication which is associative and which has a unit; a category itself can be regarded as a sort of general­ ized monoid. Chapters VI and VII explore this notion and its generaliza­ tions. Its close connection to pairs of adjoint functors illuminates the ideas of universal algebra and culminates in Beck's theorem characterizing categories of algebras; on the other hand, categories with a monoidal structure (given by a tensor product) lead inter alia to the study of more convenient categories of topological spaces.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

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

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Compra nuovo Guarda l'articolo
EUR 206,38

Spese di spedizione: EUR 2,56
In U.S.A.

Destinazione, tempi e costi

Aggiungere al carrello

## 1.Categories for the Working Mathematician (Graduate Texts in Mathematics)

Editore: Springer (1971)
ISBN 10: 0387900365 ISBN 13: 9780387900360
Nuovi Paperback Quantità: 2
Da
Murray Media
(North Miami Beach, FL, U.S.A.)
Valutazione libreria

Descrizione libro Springer, 1971. Paperback. Condizione libro: New. Codice libro della libreria P110387900365

Compra nuovo
EUR 206,38
Convertire valuta
Spese di spedizione: EUR 2,56
In U.S.A.
Destinazione, tempi e costi

## 2.Categories for the Working Mathematician (Graduate Texts in Mathematics)

Editore: Springer
ISBN 10: 0387900365 ISBN 13: 9780387900360
Nuovi PAPERBACK Quantità: 1
Da
Cloud 9 Books
(Wellington, FL, U.S.A.)
Valutazione libreria

Descrizione libro Springer. PAPERBACK. Condizione libro: New. 0387900365 New Condition. Codice libro della libreria NEW6.1126287

Compra nuovo
EUR 282,15
Convertire valuta
Spese di spedizione: EUR 4,27
In U.S.A.
Destinazione, tempi e costi

## 3.Categories for the Working Mathematician (Graduate Texts in Mathematics)

Editore: Springer (1971)
ISBN 10: 0387900365 ISBN 13: 9780387900360
Nuovi Paperback Quantità: 1
Print on Demand
Da
Ergodebooks
(RICHMOND, TX, U.S.A.)
Valutazione libreria

Descrizione libro Springer, 1971. Paperback. Condizione libro: New. 1. This item is printed on demand. Codice libro della libreria DADAX0387900365

Compra nuovo
EUR 550,20
Convertire valuta
Spese di spedizione: EUR 3,42
In U.S.A.
Destinazione, tempi e costi