Category Theory And Applications:A Textbook For Beginners

范畴理论和应用:初学者教材

数学史

原   价:
998.75
售   价:
799.00
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平台大促 低至8折优惠
发货周期:预计3-5周发货
作      者
出  版 社
出版时间
2017年12月28日
装      帧
精装
ISBN
9789813231061
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页      码
280
语      种
英文
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库存 30 本
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图书简介
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. Key Features: o The main notions of Category Theory are presented in a concrete way, starting from examples taken from the elementary part of well-known disciplines: Algebra, Lattice Theory and Topology o The theory is developed presenting other examples and some 300 exercises; the latter are endowed with a solution, or a partial solution, or adequate hints o Three chapters and some extra sections are devoted to applications
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