Category Theory And Applications: A Textbook For Beginners
- 出版商: World Scientific Pub
- 出版日期: 2018-03-08
- 售價: $3,320
- 貴賓價: 9.5 折 $3,154
- 語言: 英文
- 頁數: 304
- 裝訂: Hardcover
- ISBN: 9813231068
- ISBN-13: 9789813231061
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.