To start the Diffiety Education Program, it is necessary to understand few fundamentals, which may be found in the following references:
- M. F. Atiyah, I. G. MacDonald, - Introduction to Commutative Algebra, -
Westview Press, 1969, Chapters 1,2. A beginner participant should be
able to solve exercise from these two chapters.
- John M. Lee, - Introduction to Smooth Manifolds, - Springer-Verlag,
Graduate Texts in Mathematics, Vol. 218, 2003. Appendix + Chapters 1-4,
6 (Chapter 1 is also available on the author's web page).
- Jet Nestruev, - Smooth manifolds and Observables,
Graduate Texts in Mathematics, Vol. 220, 2002. First chapters of this
book will introduce you to the spirit of the school. People who have
read this book and solved 70% of the exercises will be able to follow
the veteran courses.