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Saunders MacLane, born in Connecticut in 1909, studied mathematics at Yale, Chicago and Göttingen and has taught mathematics at Harvard, Cornell and the University of Chicago. He is now the Max Mason Distinguished Service Professor of Mathematics at the University of Chicago. With Samuel Eilenberg he discovered the theory of categories and some of the basic ideas of homological algebra. His book Homology, covering the latter subject, was published by Springer-Verlag in 1963. This book summarizes the ideas and methods of category theory, which can now be effectively used by mathematicians working in a variety of other fields of mathematical research. The book is based on his lectures at Chicago, Canberra, Bowdoin and Tulane.
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Categories for the Working Mathematician
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Categories for the Working Mathematician
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Hardback. Zustand: Good. 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. This second edition includes a number of revisions and additions, including two new chapters on topics of active interest. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into prominence. The bibliography has also been expanded to cover some of the many other recent advances concerning categories. Bestandsnummer des Verkäufers 00109229409
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Categories for the Working Mathematician
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Springer (edition 1st ed. 1971. Corr. 6th printing), 1994
ISBN 10: 0387900357
ISBN 13: 9780387900353
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Categories for the Working Mathematician
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Categories for the Working Mathematician
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Categories for the Working Mathematician (Graduate Texts in Mathematics) (Volume 5)
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Zustand: Poor. Volume 5. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In poor condition, suitable as a reading copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,700grams, ISBN:0387900357. Bestandsnummer des Verkäufers 9785019
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