Categories for the Working Mathematician (Graduate Texts in Mathematics)

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9780387984032: Categories for the Working Mathematician (Graduate Texts in Mathematics)

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.

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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

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1.

Saunders Mac Lane
Editorial: Springer New York 1998-09-25, New York |London (1998)
ISBN 10: 0387984038 ISBN 13: 9780387984032
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Blackwell's
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Descripción Springer New York 1998-09-25, New York |London, 1998. hardback. Estado de conservación: New. Nº de ref. de la librería 9780387984032

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Saunders Mac Lane
Editorial: Springer 1998-10-01 (1998)
ISBN 10: 0387984038 ISBN 13: 9780387984032
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Descripción Springer 1998-10-01, 1998. Estado de conservación: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Nº de ref. de la librería NU-GRD-02988073

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Saunders Mac Lane
Editorial: Springer-Verlag New York Inc., United States (1998)
ISBN 10: 0387984038 ISBN 13: 9780387984032
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The Book Depository US
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Descripción Springer-Verlag New York Inc., United States, 1998. Hardback. Estado de conservación: New. 2nd ed. 1978. Language: English . Brand New Book. 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. Nº de ref. de la librería AAZ9780387984032

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Saunders Mac Lane
Editorial: Springer-Verlag New York Inc., United States (1998)
ISBN 10: 0387984038 ISBN 13: 9780387984032
Nuevos Tapa dura Cantidad: 1
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The Book Depository
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Descripción Springer-Verlag New York Inc., United States, 1998. Hardback. Estado de conservación: New. 2nd ed. 1978. Language: English . Brand New Book. 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. Nº de ref. de la librería AAZ9780387984032

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Lane, Saunders Mac
Editorial: Springer-Verlag New York Inc. (1998)
ISBN 10: 0387984038 ISBN 13: 9780387984032
Nuevos Tapa dura Cantidad: 8
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Valoración
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Descripción Springer-Verlag New York Inc., 1998. Estado de conservación: New. 1998. 2nd. Hardcover. Describes the concepts of category, functor, natural transformation, and duality. This book focuses on 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. Series: Graduate Texts in Mathematics. Num Pages: 317 pages, 1, black & white illustrations. BIC Classification: PBC; PBF. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 246 x 164 x 24. Weight in Grams: 652. . . . . . . Nº de ref. de la librería V9780387984032

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Saunders Mac Lane
Editorial: Springer-Verlag New York Inc.
ISBN 10: 0387984038 ISBN 13: 9780387984032
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Descripción Springer-Verlag New York Inc. Hardback. Estado de conservación: new. BRAND NEW, Categories for the Working Mathematician (2nd ed. 1978), Saunders Mac Lane, 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. Nº de ref. de la librería B9780387984032

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Saunders Mac Lane
ISBN 10: 0387984038 ISBN 13: 9780387984032
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Descripción Estado de conservación: New. Bookseller Inventory # ST0387984038. Nº de ref. de la librería ST0387984038

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Saunders Mac Lane
ISBN 10: 0387984038 ISBN 13: 9780387984032
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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97803879840320000000

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Saunders MacLane
Editorial: Springer (1998)
ISBN 10: 0387984038 ISBN 13: 9780387984032
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Descripción Springer, 1998. Estado de conservación: New. book. Nº de ref. de la librería ria9780387984032_rkm

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Lane, Saunders Mac
Editorial: Springer-Verlag New York Inc.
ISBN 10: 0387984038 ISBN 13: 9780387984032
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Kennys Bookstore
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Descripción Springer-Verlag New York Inc. Estado de conservación: New. 1998. 2nd. Hardcover. Describes the concepts of category, functor, natural transformation, and duality. This book focuses on 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. Series: Graduate Texts in Mathematics. Num Pages: 317 pages, 1, black & white illustrations. BIC Classification: PBC; PBF. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 246 x 164 x 24. Weight in Grams: 652. . . . . . Books ship from the US and Ireland. Nº de ref. de la librería V9780387984032

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