The geometry of numbers /
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 gr...
| Main Author: | |
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| Other Authors: | , |
| Format: | Book |
| Language: | English |
| Published: |
Washington, DC :
Mathematical Association of America,
[2000]
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| Series: | Anneli Lax new mathematical library ;
v. 41. |
| Subjects: | |
| Online Access: | Table of contents Publisher description |
| Summary: | 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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| Physical Description: | xvi, 174 pages : illustrations ; 23 cm |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 0883856433 9780883856437 088385600X 9780883856000 |