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: Lectures on Logarithmic Algebraic GeometryLectures on Logarithmic Algebraic Geometry
by - University of California, Berkeley
Logarithmic geometry deals with two problems in algebraic geometry: compactification and degeneration. Contents: The geometry of monoids; Log structures and charts; Morphisms of log schemes; Differentials and smoothness; De Rham and Betti cohomology.
(14822 views)
Book cover: Computations in Algebraic Geometry with Macaulay 2Computations in Algebraic Geometry with Macaulay 2
by - Springer
This book presents algorithmic tools for algebraic geometry and experimental applications of them. It also introduces a software system in which the tools have been implemented and with which the experiments can be carried out.
(12597 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.
(15652 views)
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.
(14214 views)