From a Geometrical Point of View

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 phenomeno...

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Main Author: Marquis, Jean-Pierre
Format: Book
Language:English
Published: Springer 2017
Subjects:
Online Access:http://repository.vnu.edu.vn/handle/VNU_123/30823
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Institution: Vietnam National University, Hanoi
Language: English
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spelling oai:112.137.131.14:VNU_123-308232020-07-05T10:30:54Z From a Geometrical Point of View Marquis, Jean-Pierre Categories (Mathematics) -- History. Categories (Mathematics) -- Philosophy. 512.6209 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. 2017-04-19T02:00:59Z 2017-04-19T02:00:59Z 2009 Book 978-1-4020-9383-8 http://repository.vnu.edu.vn/handle/VNU_123/30823 en 316 p. application/pdf Springer
institution Vietnam National University, Hanoi
building VNU Library & Information Center
country Vietnam
collection VNU Digital Repository
language English
topic Categories (Mathematics) -- History.
Categories (Mathematics) -- Philosophy.
512.6209
spellingShingle Categories (Mathematics) -- History.
Categories (Mathematics) -- Philosophy.
512.6209
Marquis, Jean-Pierre
From a Geometrical Point of View
description 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.
format Book
author Marquis, Jean-Pierre
author_facet Marquis, Jean-Pierre
author_sort Marquis, Jean-Pierre
title From a Geometrical Point of View
title_short From a Geometrical Point of View
title_full From a Geometrical Point of View
title_fullStr From a Geometrical Point of View
title_full_unstemmed From a Geometrical Point of View
title_sort from a geometrical point of view
publisher Springer
publishDate 2017
url http://repository.vnu.edu.vn/handle/VNU_123/30823
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