by Kiran S. Kedlaya
Number of pages: 142
The original text underlying this book was a set of notes for the Math Olympiad Program, the annual summer program to prepare U.S. high school students for the International Mathematical Olympiad. The original notes were intended to bridge the gap between the knowledge of Euclidean geometry of American IMO prospects and that of their counterparts from other countries. They included a large number of challenging problems culled from Olympiad-level competitions from around the world. In revising the old text, author attempted to usher the reader from Euclidean geometry to the gates of "geometry" as the term is defined by modern mathematicians, using the solving of routine and nonroutine problems as the vehicle for discovery.
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by Pierre Schapira - UPMC
The aim of these lecture notes is first to introduce the reader to the theory of D-modules in the analytical setting and also to make a link with the theory of deformation quantization (DQ for short) in the complex setting.
by Michael Artin - Tata Institute of Fundamental Research
These notes are based on a series of lectures given in 1973. The lectures are centered about the work of M. Scahlessinger and R. Elkik on infinitesimal deformations. Contents: Formal Theory and Computations; Elkik's Theorems on Algebraization.
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The book provides an introduction to the field of mirror symmetry from both a mathematical and physical perspective. After covering the relevant background material, the monograph is devoted to the proof of mirror symmetry from various viewpoints.
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