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,
- Springer-Verlag,
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.
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