Geometry Unbound
by Kiran S. Kedlaya
2006
Number of pages: 142
Description:
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.
Download or read it online for free here:
Download link
(0.6MB, PDF)
Similar books
Current Topics in Complex Algebraic Geometryby Herbert Clemens, János Kollár - Cambridge University Press
The 1992/93 year at the Mathematical Sciences Research Institute was devoted to Complex Algebraic Geometry. This volume collects articles that arose from this event, which took place at a time when algebraic geometry was undergoing a major change.
(13682 views)
Algebraic Geometryby J.S. Milne
These notes are an introduction to the theory of algebraic varieties. In contrast to most such accounts they study abstract algebraic varieties, not just subvarieties of affine and projective space. This approach leads naturally to scheme theory.
(15105 views)
Homogeneous Spaces and Equivariant Embeddingsby Dmitri A. Timashev - arXiv
A monograph on homogeneous spaces of algebraic groups and their equivariant embeddings. Some results are supplied with proofs, the other are cited with references to the original papers. The style is intermediate between survey and detailed monograph.
(11645 views)
Linear Systems Theory and Introductory Algebraic Geometryby Robert Hermann - Math Sci Press
Systems theory offers a unified mathematical framework to solve problems in a wide variety of fields. This mathematics is not of the traditional sort involved in engineering education, but involves virtually every field of modern mathematics.
(14043 views)