Logo

Geometry Unbound by Kiran S. Kedlaya

Small book cover: Geometry Unbound

Geometry Unbound
by


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.

Home page url

Download or read it online for free here:
Download link
(0.6MB, PDF)

Similar books

Book cover: From D-modules to Deformation Quantization ModulesFrom D-modules to Deformation Quantization Modules
by - 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)
Book cover: Algebraic geometry and projective differential geometryAlgebraic geometry and projective differential geometry
by - 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)
Book cover: Algebraic GeometryAlgebraic Geometry
by - 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)
Book cover: Modular Functions and Modular FormsModular Functions and Modular Forms
by
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)