The Geometry of Numbers

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Mathematics
The Geometry of Numbers

The Geometry of Numbers

Name: The Geometry of Numbers
ISBN: 9780883859551

Olds, Carl D, Davidoff, Giuliana

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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.

Категорії:

Mathematics

Том:

Рік:

2001

Видавництво:

Mathematical Association of America (MAA)

Мова:

english

ISBN 10:

0883859556

ISBN 13: