Category Theory And Applications: A Textbook For Beginners

Marco Grandis

  • 出版商: World Scientific Publishing Co Pte Ltd
  • 出版日期: 2018-03-30
  • 售價: $3,769
  • 貴賓價: 9.5$3,581
  • 語言: 英文
  • 頁數: 304
  • 裝訂: Hardcover
  • ISBN: 9813231068
  • ISBN-13: 9789813231061

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商品描述

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.

Readership: Graduate students and researchers of mathematics, computer science, physics.