Handbook of Categorical Algebra: Volume 1, Basic Category Theory (Encyclopedia of Mathematics and its Applications)

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9780521441780: Handbook of Categorical Algebra: Volume 1, Basic Category Theory (Encyclopedia of Mathematics and its Applications)
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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.

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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.

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"...Not only is this the most comprehensive book ever written on category theory, it is by far the best written...What the author has understood is that one cannot understand this subject without lots of examples..." Gian-Carlo Rota, The Bulletin of Mathematics Books

"...these volumes will be of enormous value to graduate students in pure or applied category theory." Martin Hyland, Mathematical Reviews

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Other Popular Editions of the Same Title

9780521061193: Handbook of Categorical Algebra: Volume 1, Basic Category Theory (Encyclopedia of Mathematics and its Applications)

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Publisher: Cambridge University Press, 2008
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9780521061223: Handbook of Categorical Algebra: Volume 2, Categories and Structures (Encyclopedia of Mathematics and its Applications)

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9780521061247: Handbook of Categorical Algebra: Volume 3, Sheaf Theory (Encyclopedia of Mathematics and its Applications)

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2002. Hardback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****. A 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. Volume 1, which is devoted to general concepts, can be used for advanced undergraduate courses on category theory. 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. Seller Inventory # APC9780521441780

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2002. Hardback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****.A 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. Volume 1, which is devoted to general concepts, can be used for advanced undergraduate courses on category theory. 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. Seller Inventory # APC9780521441780

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