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WorldCat.org

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.

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

From a geometrical point of view : a study of the history and philosophy of category theory