Geometry Unbound by Kiran S. Kedlaya

Small book cover: Geometry Unbound

Geometry Unbound

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.

Home page url

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

Similar books

Book cover: Ample Subvarieties of Algebraic VarietiesAmple Subvarieties of Algebraic Varieties
by - Springer
These notes are an enlarged version of a three-month course of lectures. Their style is informal. I hope they will serve as an introduction to some current research topics, for students who have had a one year course in modern algebraic geometry.
Book cover: An Introduction to Complex Algebraic GeometryAn Introduction to Complex Algebraic Geometry
by - Institut Fourier Grenoble
This is an advanced course in complex algebraic geometry presupposing only some familiarity with theory of algebraic curves or Riemann surfaces. The goal is to understand the Enriques classification of surfaces from the point of view of Mori-theory.
Book cover: Algebraic Geometry over the Complex NumbersAlgebraic Geometry over the Complex Numbers
by - Purdue University
Algebraic geometry is the geometric study of sets of solutions to polynomial equations over a field (or ring). In this book the author maintains a reasonable balance between rigor and intuition; so it retains the informal quality of lecture notes.
Book cover: Strings and GeometryStrings and Geometry
by - American Mathematical Society
This volume highlights the interface between string theory and algebraic geometry. The topics covered include manifolds of special holonomy, supergravity, supersymmetry, D-branes, the McKay correspondence and the Fourier-Mukai transform.