Handbook Of Categorical Algebra Volume 1 Basic Category Theory
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Handbook of Categorical Algebra Volume 1 Basic Category Theory
Author | : Francis Borceux |
Publsiher | : Cambridge University Press |
Total Pages | : 363 |
Release | : 1994-08-26 |
Genre | : Mathematics |
ISBN | : 9780521441780 |
Download Handbook of Categorical Algebra Volume 1 Basic Category Theory Book in PDF, Epub and Kindle
The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence, with the first being essentially self-contained, and are accessible to graduate students with a good background in mathematics. In particular, Volume 1, which is devoted to general concepts, can be used for advanced undergraduate courses on category theory.
Handbook of Categorical Algebra Volume 1 Basic Category Theory
Author | : Francis Borceux |
Publsiher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2008-04-24 |
Genre | : Mathematics |
ISBN | : 0521061199 |
Download Handbook of Categorical Algebra Volume 1 Basic Category Theory Book in PDF, Epub and Kindle
A Handbook of Categorical Algebra, in three volumes, is a detailed account of everything a mathematician needs to know about category theory. Each volume is self-contained and is accessible to graduate students with a good background in mathematics. Volume 1 is devoted to general concepts. After introducing the terminology and proving the fundamental results concerning limits, adjoint functors and Kan extensions, the categories of fractions are studied in detail; special consideration is paid to the case of localizations. The remainder of the first volume studies various "refinements" of the fundamental concepts of category and functor.
Handbook of Categorical Algebra Volume 2 Categories and Structures
Author | : Francis Borceux |
Publsiher | : Cambridge University Press |
Total Pages | : 470 |
Release | : 1994-11-03 |
Genre | : Mathematics |
ISBN | : 9780521441797 |
Download Handbook of Categorical Algebra Volume 2 Categories and Structures Book in PDF, Epub and Kindle
The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence. The second, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibred categories. There is ample material here for a graduate course in category theory, and the book should also serve as a reference for users.
Basic Category Theory
Author | : Tom Leinster |
Publsiher | : Cambridge University Press |
Total Pages | : 193 |
Release | : 2014-07-24 |
Genre | : Mathematics |
ISBN | : 9781107044241 |
Download Basic Category Theory Book in PDF, Epub and Kindle
A short introduction ideal for students learning category theory for the first time.
Handbook of Categorical Algebra Volume 2 Categories and Structures
Author | : Francis Borceux |
Publsiher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2008-04-24 |
Genre | : Mathematics |
ISBN | : 0521061229 |
Download Handbook of Categorical Algebra Volume 2 Categories and Structures Book in PDF, Epub and Kindle
The second volume, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibered categories.
A Handbook of Categorical Algebra
Author | : Francis Borceux |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 1994 |
Genre | : Categories (Mathematics) |
ISBN | : LCCN:93003225 |
Download A Handbook of Categorical Algebra Book in PDF, Epub and Kindle
Handbook of Categorical Algebra Volume 1 Basic Category Theory
Author | : Francis Borceux |
Publsiher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2008-04-24 |
Genre | : Mathematics |
ISBN | : 0521061199 |
Download Handbook of Categorical Algebra Volume 1 Basic Category Theory Book in PDF, Epub and Kindle
A Handbook of Categorical Algebra, in three volumes, is a detailed account of everything a mathematician needs to know about category theory. Each volume is self-contained and is accessible to graduate students with a good background in mathematics. Volume 1 is devoted to general concepts. After introducing the terminology and proving the fundamental results concerning limits, adjoint functors and Kan extensions, the categories of fractions are studied in detail; special consideration is paid to the case of localizations. The remainder of the first volume studies various "refinements" of the fundamental concepts of category and functor.
Category Theory in Context
Author | : Emily Riehl |
Publsiher | : Courier Dover Publications |
Total Pages | : 272 |
Release | : 2017-03-09 |
Genre | : Mathematics |
ISBN | : 9780486820804 |
Download Category Theory in Context Book in PDF, Epub and Kindle
Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.