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Handbook Of Categorical Algebra Basic Category Theory


Handbook Of Categorical Algebra Basic Category Theory
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Handbook Of Categorical Algebra Basic Category Theory


Handbook Of Categorical Algebra Basic Category Theory
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Author : Francis Borceux
language : en
Publisher: Cambridge University Press
Release Date : 1994

Handbook Of Categorical Algebra Basic Category Theory written by Francis Borceux and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.


The first of a 3-volume work, this text gives a detailed account of what should be known by all working in, or using category theory. This volume covers basic the concepts.



Basic Category Theory


Basic Category Theory
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Author : Tom Leinster
language : en
Publisher: Cambridge University Press
Release Date : 2014-07-24

Basic Category Theory written by Tom Leinster and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-24 with Mathematics categories.


A short introduction ideal for students learning category theory for the first time.



Handbook Of Categorical Algebra Volume 2 Categories And Structures


Handbook Of Categorical Algebra Volume 2 Categories And Structures
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Author : Francis Borceux
language : en
Publisher: Cambridge University Press
Release Date : 2008-04-24

Handbook Of Categorical Algebra Volume 2 Categories And Structures written by Francis Borceux and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-24 with Mathematics categories.


The second volume, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibered categories.



Handbook Of Categorical Algebra Volume 2 Categories And Structures


Handbook Of Categorical Algebra Volume 2 Categories And Structures
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Author : Francis Borceux
language : en
Publisher: Cambridge University Press
Release Date : 1994-11-03

Handbook Of Categorical Algebra Volume 2 Categories And Structures written by Francis Borceux and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-11-03 with Mathematics categories.


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. The second, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibred categories. There is ample material here for a graduate course in category theory, and the book should also serve as a reference for users.



Categories For The Working Mathematician


Categories For The Working Mathematician
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Author : Saunders Mac Lane
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-09-25

Categories For The Working Mathematician written by Saunders Mac Lane and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-25 with Mathematics categories.


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.



An Introduction To Category Theory


An Introduction To Category Theory
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Author : Harold Simmons
language : en
Publisher: Cambridge University Press
Release Date : 2011-09-22

An Introduction To Category Theory written by Harold Simmons and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Mathematics categories.


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.



Handbook Of Categorical Algebra


Handbook Of Categorical Algebra
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Author : Francis Borceux
language : en
Publisher:
Release Date : 1994

Handbook Of Categorical Algebra written by Francis Borceux and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Categories (Mathematics) categories.




Categories For Quantum Theory


Categories For Quantum Theory
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Author : Chris Heunen
language : en
Publisher:
Release Date : 2019

Categories For Quantum Theory written by Chris Heunen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Mathematics categories.


Categories for Quantum Theory: An Introduction lays foundations for an approach to quantum theory that uses category theory, a branch of pure mathematics. Prior knowledge of quantum information theory or category theory helps, but is not assumed, and basic linear algebra and group theory suffices.



Handbook Of Categorical Algebra


Handbook Of Categorical Algebra
DOWNLOAD
Author : Francis Borceux
language : en
Publisher:
Release Date :

Handbook Of Categorical Algebra written by Francis Borceux and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Categories (Mathematics) categories.


First of a 3-volume work giving a detailed account of what should be known by all working in, or using category theory. Volume 1 covers basic concepts.



Categories Types And Structures


Categories Types And Structures
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Author : Andrea Asperti
language : en
Publisher: MIT Press (MA)
Release Date : 1991

Categories Types And Structures written by Andrea Asperti and has been published by MIT Press (MA) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Computers categories.


Category theory is a mathematical subject whose importance in several areas of computer science, most notably the semantics of programming languages and the design of programmes using abstract data types, is widely acknowledged. This book introduces category theory at a level appropriate for computer scientists and provides practical examples in the context of programming language design.