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Categories for the Working Mathematician (Graduate Texts in Mathematics, 5, Band 5) - Lane, Saunders Mac
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Categories for the Working Mathematician (Graduate Texts in Mathematics, 5, Band 5) - Paperback

2013, ISBN: 9781441931238

Springer, Taschenbuch, Auflage: 2nd ed. 1978. Softcover reprint of the original 2nd ed. 1978, 332 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, 0.47 kg, Verkaufsrang: 496… More...

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Categories for the Working Mathematician (Graduate Texts in Mathematics, 5, Band 5) - Lane, Saunders Mac
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Lane, Saunders Mac:

Categories for the Working Mathematician (Graduate Texts in Mathematics, 5, Band 5) - Paperback

2013, ISBN: 9781441931238

Springer, Taschenbuch, Auflage: 2nd ed. 1978. Softcover reprint of the original 2nd ed. 1978, 332 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, 1.03 kg, Verkaufsrang: 441… More...

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Categories for the Working Mathematician (Graduate Texts in Mathematics, 5, Band 5) - Lane, Saunders Mac
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Categories for the Working Mathematician (Graduate Texts in Mathematics, 5, Band 5) - Paperback

2013

ISBN: 9781441931238

Springer, Taschenbuch, Auflage: 2nd ed. 1978. Softcover reprint of the original 2nd ed. 1978, 332 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, 0.47 kg, Verkaufsrang: 496… More...

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Categories for the Working Mathematician (Graduate Texts in Mathematics, 5, Band 5) - Lane, Saunders Mac
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Categories for the Working Mathematician (Graduate Texts in Mathematics, 5, Band 5) - Paperback

2013, ISBN: 9781441931238

Springer, Taschenbuch, Auflage: 2nd ed. 1978. Softcover reprint of the original 2nd ed. 1978, 332 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, 0.47 kg, Verkaufsrang: 496… More...

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Categories for the Working Mathematician (Graduate Texts in Mathematics, 5, Band 5) - Lane, Saunders Mac
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Lane, Saunders Mac:
Categories for the Working Mathematician (Graduate Texts in Mathematics, 5, Band 5) - Paperback

2013, ISBN: 9781441931238

Springer, Taschenbuch, Auflage: 2nd ed. 1978. Softcover reprint of the original 2nd ed. 1978, 332 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, 1.03 kg, Verkaufsrang: 441… More...

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Categories for the Working Mathematician (Graduate Texts in Mathematics, 5, Band 5)
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ISBN:

9781441931238


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.

Details of the book - Categories for the Working Mathematician (Graduate Texts in Mathematics, 5, Band 5)


EAN (ISBN-13): 9781441931238
ISBN (ISBN-10): 1441931236
Hardcover
Paperback
Publishing year: 2010
Publisher: Springer
Language: Englisch

Book in our database since 2009-09-27T08:52:48+01:00 (London)
Detail page last modified on 2023-12-20T23:30:24+00:00 (London)
ISBN/EAN: 9781441931238

ISBN - alternate spelling:
1-4419-3123-6, 978-1-4419-3123-8
Alternate spelling and related search-keywords:
Book author: saunders mac lane, beck, maclane saunders
Book title: categories for the working mathematician, graduate text mathematics, categorie, categories self, cia, springer mathematics, graduate texts mathematics

Information from Publisher

Author: Saunders Mac Lane
Title: Graduate Texts in Mathematics; Categories for the Working Mathematician
Publisher: Springer; Springer US
318 Pages
Publishing year: 2010-11-19
New York; NY; US
Printed / Made in
Language: English
61,55 € (DE)

BC; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebraische Topologie; Verstehen; Adjoint functor; Morphism; addition; algebra; theorem; K-Theory; BB

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.- Appendix. Foundations.- Table of Standard Categories: Objects and Arrows.- Table of Terminology.
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