Tool and Object

A History and Philosophy of Category Theory

AvRalph Krömer

Inbunden, Engelska, 2007

Del i serien Science Networks. Historical Studies

1 800 kr

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Beskrivning

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

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.