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Tool and Object Ralph Kromer

Tool and Object By Ralph Kromer

Tool and Object by Ralph Kromer


£158.79
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Summary

Category theory is a general mathematical theory of structures and of structures of structures.

Tool and Object Summary

Tool and Object: A History and Philosophy of Category Theory by Ralph Kromer

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.

Tool and Object Reviews

From the reviews:

Kromer 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 Kromers 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 . (Jose Ferreiros, Zeitschrift fur Geschichte der Wissenschaften, Technik und Medizin, Issue 1, 2010)

Table of Contents

Prelude: Poincare, 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.

Additional information

NPB9783764375232
9783764375232
376437523X
Tool and Object: A History and Philosophy of Category Theory by Ralph Kromer
New
Hardback
Birkhauser Verlag AG
2007-02-16
367
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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Customer Reviews - Tool and Object