Categories for the Working Mathematician
Saunders Mac Lane / Jul 16, 2019
Categories for the Working Mathematician 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 n
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 funCategories 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.
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↠ Categories for the Working Mathematician  ✓ PDF Read by ☆ Saunders Mac Lane 205 Saunders Mac Lane

Title: ↠ Categories for the Working Mathematician  ✓ PDF Read by ☆ Saunders Mac Lane
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Published :20180903T04:45:48+00:00
Saunders Mac Lane
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