From a Geometrical Point of View A Study of the History and Philosophy of Category Theory
From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith to expose its significance in the mathematical landscape. The main thesis is that Klein’s Erlangen program in geometry is in fact a particular instance of a general and broad phenomeno...
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| Format: | eBook |
| Language: | English |
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Dordrecht
Springer Netherlands
2009, 2009
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| Edition: | 1st ed. 2009 |
| Series: | Logic, Epistemology, and the Unity of Science
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| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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