ENGLISH

From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory

By Jean-Pierre Marquis

Book information

Publisher
Springer
Year
2009
ISBN
978-1-4020-9384-5, 1402093845, 978-1-4020-9383-8
Language
english
Format
PDF
Filesize
3 MB (3377728 bytes)
Series
Logic, Epistemology, and the Unity of Science, 14
Pages
322\322
Time added
2014-06-12 06:00:00

Description

Explores historical and philosophical aspects of category theory, trying there with to expose its significance in the mathematical landscape. This book offers a conceptual perspective on category theory and categorical logic. It is suitable for mathematicians, logicians, historians of contemporary mathematics, physicists and computer scientists. Content: Introduction; Category Theory and Klein's Erlangen Program; Introducing Categories, Functors and Natural Transformations; Categories as Spaces, Functors as Transformations; Discovering Fundamental Categorical Transformations: Adjoint Functors; Adjoint Functors: What They are, What They Mean; Invariants in Foundations: Algebraic Logic; Invariants in Foundations: Geometric Logic; Conclusion. Abstract: From a Geometrical Point of View explores historical and philosophical aspects of category theory and categorical logic, providing insight into their role and nature in contemporary mathematics. Read more...

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