Tool and Object
A History and Philosophy of Category Theory
Published on 16. February 2007
Book
Hardback
XXXVI, 367 pages
978-3-7643-7523-2 (ISBN)
Description
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 / Votes
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)More details
Series
Edition
2007 ed.
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
XXXVI, 367 p.
Dimensions
Height: 24.4 cm
Width: 17 cm
Weight
1640 gr
ISBN-13
978-3-7643-7523-2 (9783764375232)
DOI
10.1007/978-3-7643-7524-9
Schweitzer Classification
Other editions
Additional editions
E-Book
06/2007
1st Edition
Birkhäuser
€171.19
Available for download
Content
Prelude: Poincaré, Wittgenstein, Peirce, and the use of concepts.- Category theory in Algebraic Topology.- Category theory in Homological Algebra.- Category theory in Algebraic Geometry.- From tool to object: full-fledged category theory.- Categories as sets: problems and solutions.- Categorial foundations.- Pragmatism and category theory.