Overview
- First comprising historical outline of category theory
- Includes supplementary material: sn.pub/extras
Part of the book series: Science Networks. Historical Studies (SNHS, volume 32)
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Table of contents (8 chapters)
Keywords
About this book
Category theory is a general mathematical theory of structures and of structures of structures. It occupied a central position in contemporary mathematics as well as computer science. This book describes the history of category theory whereby illuminating its symbiotic relationship to algebraic topology, homological algebra, algebraic geometry and mathematical logic and elaboratively develops the connections with the epistemological significance.
Reviews
From the reviews:
“Krömer provides a more complete historical study of category theory and its applications from the beginnings to about 1970. … It caught the attention of people interested in conceptual and philosophical issues … . I recommend Krömer’s work highly to anyone who seeks to gain an understanding of category-theoretic mathematics … . an interesting contribution to the historical philosophy of mathematical practice … . the book is more successful as a history. It is well produced, and the English is clear enough … .” (José Ferreirós, Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin, Issue 1, 2010)Authors and Affiliations
Bibliographic Information
Book Title: Tool and Object
Book Subtitle: A History and Philosophy of Category Theory
Authors: Ralf Krömer
Series Title: Science Networks. Historical Studies
DOI: https://doi.org/10.1007/978-3-7643-7524-9
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkh�user Basel 2007
Hardcover ISBN: 978-3-7643-7523-2Published: 16 February 2007
eBook ISBN: 978-3-7643-7524-9Published: 25 June 2007
Series ISSN: 1421-6329
Series E-ISSN: 2296-6080
Edition Number: 1
Number of Pages: XXXVI, 367
Topics: History of Mathematical Sciences, Category Theory, Homological Algebra