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Category Theory and Applications: A Textbook for Beginners
Hardcover
ISBN13: 9789813231061
Publisher: World Scientific Publishing Company
Published: Jan 26 2018
Pages: 304
Weight: 1.95
Height: 0.90 Width: 6.10 Depth: 9.10
Language: English
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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