Synthetic Differential Geometry

Ranked #49 in Differential Geometry

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, first published in 2006, familiarity with differential calculus and abstract algebra is presupposed during the development of results in calculus and differential geometry on a purely axiomatic/synthetic... more

Similar Books

If you like Synthetic Differential Geometry, check out these similar top-rated books:


Learn: What makes Shortform summaries the best in the world?