Mac Lane Categories For The Working Mathematician Pdf
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Preface to the Second Edition. This second edition of 'Categories Work' adds two new chapters on topics of active interest. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them-items of interest in their own right and also in view of their use in string theory in quantum field theory. This occurs at several levels. On the first level, categories provide a convenient conceptual language, based on the notions of category, functor, natural transformation, contravariance, and functor category. These notions are presented, with appropriate examples, in Chapters I and II. Next comes the fundamental idea of an adjoint pair of functors. Categories for the Working Mathematician begins with foundations, illuminating concepts such as category, functor, natural transformation, and duality. It then continues by extensively illustrating these categorical concepts while presenting applications to more advanced topics. This second edition includes many revisions and additions. Free Download Categories For The Working Mathematician Saunders Mac Lane Book PDF Keywords Free DownloadCategories For The Working Mathematician Saunders Mac Lane Book PDF, read, reading book, free, download, book, ebook, books, ebooks, manual. Buy, download and read Categories for the Working Mathematician ebook online in PDF format for iPhone, iPad, Android, Computer and Mobile readers. Author: Saunders Mac Lane. Publisher: Springer New York. 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.
Saunders Maclane Categories For The Working Mathematician Pdf
Outlook for mac 2016 indexing. Category: The author of the book: ISBN-13: 032 Edition: Springer-Verlag New York Inc. Date of issue: 25 September 1998 Format files: PDF, EPUB, TXT, DOCX The size of the: 13.18 MB Language: English Description of the book 'Categories for the Working Mathematician': 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 PDF. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions.
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