ENGLISH

The Geometry of Numbers

By Olds , Giuliana , Carl D;Davidoff

Book information

Publisher
Mathematical Association of America (MAA)
Year
2001
ISBN
9780883856437, 9780883859551, 0883856433
Language
english
Format
PDF
Filesize
939 kB (961828 bytes)
Series
New Mathematical Library
Pages
\193
Time added
2020-11-29 05:13:44
Science;Mathematics

Description

This is a self-contained introduction to the geometry of numbers, beginning with easily understood questions about lattice points on lines, circles and inside simple polygons in the plane. A minimum of mathematical expertise is required beyond an acquaintance with elementary geometry. The authors gradually lead up to the theorems of Minkowski and others who succeeded him. On the way the reader will see how this powerful approach gives improved approximations to irrational numbers by rationals, simplifies arguments on ways of representing integers as sums of squares, and provides a natural tool for attacking problems involving dense packings of spheres.

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