The Geometry of Numbers

The Geometry of Numbers

by Carl D. Olds, Giuliana Davidoff, Anneli Lax
     
 

ISBN-10: 0883856433

ISBN-13: 9780883856437

Pub. Date: 02/28/2001

Publisher: Mathematical Association of America

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

Overview

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.

Product Details

ISBN-13:
9780883856437
Publisher:
Mathematical Association of America
Publication date:
02/28/2001
Series:
New Mathematical Library Series
Edition description:
New Edition
Pages:
168
Product dimensions:
5.98(w) x 8.98(h) x 0.83(d)

Related Subjects

Table of Contents

1. Geometry and algebra; 2. Trigonometry, calculus and analytic geometry; 3. Inequalities; 4. Integer sums; 5. Sequences and series.

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