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Categories for the Working Mathematician (Graduate Texts in Mathematics)
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ISBN: 9781441931238

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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 applicati 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., [PU: Springer]

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Categories for the Working Mathematician (Graduate Texts in Mathematics) - Saunders Mac Lane
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2013, ISBN: 1441931236

[SR: 600599], Paperback, [EAN: 9781441931238], Springer, Springer, Book, [PU: Springer], 2013-10-04, Springer, An array of general ideas useful in a wide variety of fields. Starting from the foundations, this bo...., 278321, Algebra, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278353, Geometry & Topology, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278366, Mathematical Logic, 278363, Mathematical Foundations, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570936, Geometry, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books, 570964, Mathematical Theory, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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[SR: 600599], Paperback, [EAN: 9781441931238], Springer, Springer, Book, [PU: Springer], 2013-10-04, Springer, An array of general ideas useful in a wide variety of fields. Starting from the foundations, this bo...., 278321, Algebra, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278353, Geometry & Topology, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278366, Mathematical Logic, 278363, Mathematical Foundations, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570936, Geometry, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books, 570964, Mathematical Theory, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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[SR: 116841], Taschenbuch, [EAN: 9781441931238], Springer, Springer, Book, [PU: Springer], 2013-10-04, Springer, 56263011, Geometrie & Topologie, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56231011, Algebra, 56230011, Reine Mathematik, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56243011, Logik, 56230011, Reine Mathematik, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher

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Categories for the Working Mathematician (Graduate Texts in Mathematics) - Taschenbuch

2013, ISBN: 1441931236

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

Mac Lane, Saunders

Titel:

Categories for the Working Mathematician (Graduate Texts in Mathematics)

ISBN-Nummer:

1441931236

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 02.12.2016 06:43:14
ISBN/EAN: 1441931236

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

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