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

Description

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 phenomenon revealed by category theory. The volume starts with Eilenberg and Mac Lane’s work in the early 1940’s and follows the major developments of the theory from this perspective. Particular attention is paid to the philosophical elements involved in this development. The book ends with a presentation of categorical logic, some of its results and its significance in the foundations of mathematics.

From a Geometrical Point of View aims to provide its readers with a conceptual perspective on category theory and categorical logic, in order to gain insight into their role and nature in contemporary mathematics. It should be of interest to mathematicians, logicians, philosophers of mathematics and science in general, historians of contemporary mathematics, physicists and computer scientists.




Mirror on RapidShare => http://rapidshare.com/files/166555812/1402093837.rar

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 1988
2. The Philosophy of Sociality: The Shared Point of View
3. The Discovery of Dynamics: A Study from a Machian Point of View of the Discovery and the Structure of Dynamical Theories
4. Disgust: The Theory and History of a Strong Sensation (Suny Series, Intersections: Philosophy and Critical Theory).
5. The History of Combinatorial Group Theory: A Case Study in the History of Ideas
6. H-Spaces from a Homotopy Point of View
7. From a Philosophical Point of View: Selected Studies
8. How to Audition for TV Commercials: From the Ad Agency Point of View
9. Advanced Statistics from an Elementary Point of View
10. Higher Mathematics from an Elementary Point of View
11. From the Terrorists' Point of View: What They Experience and Why They Come to Destroy
12. Decision Procedures: An Algorithmic Point of View
13. Category Theory at Work
14. The Notion of Ditthi in Theravada Buddhism: The Point of View
15. The Notion of Ditthi in Theravada Buddhism: The Point of View
16. [request_ebook] Point Process Theory and Applications: Marked Point and Piecewise Deterministic Processes