Tool and Object
A History and Philosophy of Category Theory
1st Edition
Published on 25. June 2007
XXXVI, 367 pages
978-3-7643-7524-9 (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
Other editions
Additional editions
Book
02/2007
Birkhäuser
€181.89
Shipment within 7-9 days
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.
