Tool and Object

A History and Philosophy of Category Theory

AvRalph Krömer

Inbunden, Engelska, 2007

Del i serien Science Networks. Historical Studies

1 841 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2007-02-16
Mått:170 x 244 x undefined mm
Format:Inbunden
Språk:Engelska
Serie:Science Networks. Historical Studies
Antal sidor:367
Förlag:Birkhauser Verlag AG
ISBN:9783764375232

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Recensioner i media

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

Innehållsförteckning

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.