Category theory and applications [electronic resource] : a textbook for beginners / Marco Grandis.
By: Grandis, Marco
.
Material type: 
Computer filePublisher: Singapore : World Scientific Publishing Co. Pte Ltd., ©2018Description: 1 online resource (304 p.) : ill.ISBN: 9789813231078.Subject(s): Categories (Mathematics) | Mathematical analysis | Morphisms (Mathematics) | Homology theory | Electronic booksDDC classification: 512/.6 Online resources: Access to full text is restricted to subscribers. Summary: "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."-- Publisher's website.
System requirements: Adobe Acrobat Reader.
Mode of access: World Wide Web.
Title from web page (viewed January 18, 2019).
Includes bibliographical references and index.
"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."-- Publisher's website.
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