Synthetic Differential Geometry

Description

Synthetic Differential Geometry is a method of reasoning in differential geometry and differential calculus, based on the assumption of sufficiently many nilpotent elements on the number line, in particular numbers d such that d2=0. The use of nilpotent elements allows one to replace the limit processes of calculus by purely algebraic calculations and notions. For the first half of the book familiarity with differential calculus and abstract algebra is presupposed during the development of results in calculus and differential geometry on a purely axiomatic/synthetic basis. In the second half basic notions of category theory are presumed in the construction of suitable Cartesian closed categories and the interpretation of logical formulae within them. This is a second edition of Kock's classical text from 1981. Many notes have been included, with comments on developments in the field from the intermediate years, and almost 100 new bibliographic entries have been added.

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1. Ebooks list page : 3055
2. Basic Concepts of Synthetic Differential Geometry
3. Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems
4. An Elementary Course In Synthetic Projective Geometry
5. Course of Differential Geometry
6. Differential Geometry
7. Lectures on Differential Geometry
8. Lectures on Differential Geometry
9. Elements of Differential Geometry
10. Lectures on Differential Geometry
11. Differential Geometry and Its Applications
12. Differential geometry and topology
13. Differential Geometry and Topology
14. Differential Geometry and its Applications
15. Discrete Differential Geometry (repost)
16. Differential Geometry and Analysis on CR Manifolds