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Category Theory And Applications: A Textbook For Beginners

By: (Author) Marco Grandis

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Ksh 16,200.00

Format: Hardback or Cased Book

ISBN-10: 9813231068

ISBN-13: 9789813231061

Publisher: World Scientific Publishing Co Pte Ltd

Imprint: World Scientific Publishing Co Pte Ltd

Country of Manufacture: GB

Country of Publication: GB

Publication Date: Mar 8th, 2018

Print length: 304 Pages

Weight: 568 grams

Dimensions (height x width x thickness): 21.20 x 16.40 x 2.50 cms

Product Classification: Algebra

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Category Theory now permeates most of Mathematics, large parts of theoretical Computer Science and parts of theoretical Physics. Its unifying power brings together different branches, and leads to a deeper understanding of their roots.This book is addressed to students and researchers of these fields and can be used as a text for a first course in Category Theory. It covers its basic tools, like universal properties, limits, adjoint functors and monads. These are presented in a concrete way, starting from examples and exercises taken from elementary Algebra, Lattice Theory and Topology, then developing the theory together with new exercises and applications.Applications of Category Theory form a vast and differentiated domain. This book wants to present the basic applications and a choice of more advanced ones, based on the interests of the author. References are given for applications in many other fields.

Category Theory now permeates most of Mathematics, large parts of theoretical Computer Science and parts of theoretical Physics. Its unifying power brings together different branches, and leads to a deeper understanding of their roots.

This book is addressed to students and researchers of these fields and can be used as a text for a first course in Category Theory. It covers its basic tools, like universal properties, limits, adjoint functors and monads. These are presented in a concrete way, starting from examples and exercises taken from elementary Algebra, Lattice Theory and Topology, then developing the theory together with new exercises and applications.

Applications of Category Theory form a vast and differentiated domain. This book wants to present the basic applications and a choice of more advanced ones, based on the interests of the author. References are given for applications in many other fields.


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