| 书目名称 | From a Geometrical Point of View | | 副标题 | A Study of the Histo | | 编辑 | Jean-Pierre Marquis | | 视频video | | | 概述 | Provides a conceptual introduction to the fundamental concepts of category theory and categorical logic.Gives a unique perspective on the nature of category theory and its role in mathematics and its | | 丛书名称 | Logic, Epistemology, and the Unity of Science | | 图书封面 |  | | 描述 | .From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith to expose its significance in the mathematical landscape. The main thesis is that Klein’s Erlangen program in geometry is in fact a particular instance of a general and broad phenomenon revealed by category theory. The volume starts with Eilenberg and Mac Lane’s work in the early 1940’s and follows the major developments of the theory from this perspective. Particular attention is paid to the philosophical elements involved in this development. The book ends with a presentation of categorical logic, some of its results and its significance in the foundations of mathematics...From a Geometrical Point of View aims to provide its readers with a conceptual perspective on category theory and categorical logic, in order to gain insight into their role and nature in contemporary mathematics. It should be of interest to mathematicians, logicians, philosophers of mathematics and science in general, historians of contemporary mathematics, physicists and computer scientists.. | | 出版日期 | Book 2009 | | 关键词 | Algebra; Invariant; categorical logic; category theory; geometry; history of mathematics; mathematics; math | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4020-9384-5 | | isbn_softcover | 978-90-481-8117-9 | | isbn_ebook | 978-1-4020-9384-5Series ISSN 2214-9775 Series E-ISSN 2214-9783 | | issn_series | 2214-9775 | | copyright | Springer Science+Business Media B.V. 2009 |
The information of publication is updating
|
|
发表于 2025-3-21 16:11:39
