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Categories for the Working Mathematician (Paperback) - Saunders Mac Lane
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Saunders Mac Lane:
Categories for the Working Mathematician (Paperback) - Taschenbuch

2010, ISBN: 1441931236

ID: 21052898359

[EAN: 9781441931238], Neubuch, [PU: Springer-Verlag New York Inc., United States], Language: English . Brand New Book ***** Print on Demand *****.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. 2nd ed. 1978. Softcover reprint of the original 2nd ed. 1978.

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Categories for the Working Mathematician - Saunders Mac Lane
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Categories for the Working Mathematician - Taschenbuch

2010, ISBN: 1441931236

ID: 15631845102

[EAN: 9781441931238], Neubuch, [PU: Springer Nov 2010], Neuware - 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. 332 pp. Englisch

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ISBN: 9781441931238

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Categories for the Working Mathematician:Graduate Texts in Mathematics. 2nd ed. 1978. Softcover reprint of the original 2nd ed. 1978. Saunders Mac Lane Categories for the Working Mathematician:Graduate Texts in Mathematics. 2nd ed. 1978. Softcover reprint of the original 2nd ed. 1978. Saunders Mac Lane Bücher > Wissenschaft > Mathematik, Springer

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Categories for the Working Mathematician ab 54.49 EURO Graduate Texts in Mathematics. 2nd ed. 1978. Softcover reprint of the original 2nd ed. 1978. Categories for the Working Mathematician ab 54.49 EURO Graduate Texts in Mathematics. 2nd ed. 1978. Softcover reprint of the original 2nd ed. 1978. Bücher > Wissenschaft > Mathematik, [PU: Springer]

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Categories for the Working Mathematician Format: Softcover - Mac Lane
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Details zum Buch
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.

Detailangaben zum Buch - Categories for the Working Mathematician (Graduate Texts in Mathematics)


EAN (ISBN-13): 9781441931238
ISBN (ISBN-10): 1441931236
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: SPRINGER, BERLIN
Sprache: Englisch

Buch in der Datenbank seit 27.09.2009 09:52:48
Buch zuletzt gefunden am 13.09.2017 21:04:18
ISBN/EAN: 1441931236

ISBN - alternative Schreibweisen:
1-4419-3123-6, 978-1-4419-3123-8


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