**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

**From D-modules to Deformation Quantization Modules**

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.

(

**6048**views)

**Algebraic geometry and projective differential geometry**

by

**Joseph M. Landsberg**-

**arXiv**

Homogeneous varieties, Topology and consequences Projective differential invariants, Varieties with degenerate Gauss images, Dual varieties, Linear systems of bounded and constant rank, Secant and tangential varieties, and more.

(

**14543**views)

**Algebraic Geometry**

by

**Andreas Gathmann**-

**University of Kaiserslautern**

From the contents: Introduction; Affine varieties; Functions, morphisms, and varieties; Projective varieties; Dimension; Schemes; First applications of scheme theory; More about sheaves; Cohomology of sheaves; Intersection theory; Chern classes.

(

**12969**views)

**Modular Functions and Modular Forms**

by

**J. S. Milne**

This is an introduction to the arithmetic theory of modular functions and modular forms, with an emphasis on the geometry. Prerequisites are the algebra and complex analysis usually covered in advanced undergraduate or first-year graduate courses.

(

**11735**views)