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Basic Category Theory

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Release : 2014-07-24
Genre : Mathematics
Kind : eBook
Book Rating : 243/5 ( reviews)

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Book Synopsis Basic Category Theory by : Tom Leinster

Download or read book Basic Category Theory written by Tom Leinster. This book was released on 2014-07-24. Available in PDF, EPUB and Kindle. Book excerpt: A short introduction ideal for students learning category theory for the first time.

Basic Category Theory for Computer Scientists

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Release : 1991-08-07
Genre : Computers
Kind : eBook
Book Rating : 450/5 ( reviews)

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Book Synopsis Basic Category Theory for Computer Scientists by : Benjamin C. Pierce

Download or read book Basic Category Theory for Computer Scientists written by Benjamin C. Pierce. This book was released on 1991-08-07. Available in PDF, EPUB and Kindle. Book excerpt: Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts. Contents Tutorial • Applications • Further Reading

Category Theory in Context

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Release : 2017-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 807/5 ( reviews)

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Book Synopsis Category Theory in Context by : Emily Riehl

Download or read book Category Theory in Context written by Emily Riehl. This book was released on 2017-03-09. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Category Theory

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Release : 2011-09-22
Genre : Mathematics
Kind : eBook
Book Rating : 324/5 ( reviews)

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Book Synopsis An Introduction to Category Theory by : Harold Simmons

Download or read book An Introduction to Category Theory written by Harold Simmons. This book was released on 2011-09-22. Available in PDF, EPUB and Kindle. Book excerpt: Category theory provides a general conceptual framework that has proved fruitful in subjects as diverse as geometry, topology, theoretical computer science and foundational mathematics. Here is a friendly, easy-to-read textbook that explains the fundamentals at a level suitable for newcomers to the subject. Beginning postgraduate mathematicians will find this book an excellent introduction to all of the basics of category theory. It gives the basic definitions; goes through the various associated gadgetry, such as functors, natural transformations, limits and colimits; and then explains adjunctions. The material is slowly developed using many examples and illustrations to illuminate the concepts explained. Over 200 exercises, with solutions available online, help the reader to access the subject and make the book ideal for self-study. It can also be used as a recommended text for a taught introductory course.

Basic Concepts of Enriched Category Theory

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Release : 1982-02-18
Genre : Mathematics
Kind : eBook
Book Rating : 029/5 ( reviews)

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Book Synopsis Basic Concepts of Enriched Category Theory by : Gregory Maxwell Kelly

Download or read book Basic Concepts of Enriched Category Theory written by Gregory Maxwell Kelly. This book was released on 1982-02-18. Available in PDF, EPUB and Kindle. Book excerpt:

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