Category Theory & Appl (2nd Ed)
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Book Overview Category Theory now permeates most of Mathematics, large parts of theoretical Computer Science and parts of theoretical Physics. Its unif...
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 better 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 the 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.
A reader should have some elementary knowledge of these three subjects, or at least two of them, in order to be able to follow the main examples, appreciate the unifying power of the categorical approach, and discover the subterranean links brought to light and formalised by this perspective.
Applications of Category Theory form a vast and differentiated domain. This book wants to present the basic applications in Algebra and Topology, with a choice of more advanced ones, based on the interests of the author. References are given for applications in many other fields.
In this second edition, the book has been entirely reviewed, adding many applications and exercises. All non-obvious exercises have now a solution (or a reference, in the case of an advanced topic); solutions are now collected in the last chapter.
Book Details Format: Hardcover | Pages: 392 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9811236089
FormatHardcover
Pages392
LanguageEnglish
ISBN9811236089
EAN9789811236082
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
Edition2
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.52 Pounds
Length9.0 Inches
Width6.0 Inches
Height0.88 Inches
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