| Description |
1 online resource (xvi, 174 pages) : illustrations |
| Series |
The Anneli Lax new mathematical library ; v. #41 |
|
Anneli Lax new mathematical library ; v. 41.
|
| Contents |
Lattice Points and Number Theory -- An Introduction to the Geometry of Numbers -- Gaussian Integers, by Peter D. Lax -- The Closest Packing of Convex Bodies -- Brief Biographies -- Solutions and Hints |
| 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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Geometry of numbers.
|
|
MATHEMATICS -- Number Theory.
|
|
Geometry of numbers
|
|
Geometrie der Zahlen
|
| Form |
Electronic book
|
| Author |
Lax, Anneli.
|
|
Davidoff, Giuliana P.
|
| LC no. |
00110657 |
| ISBN |
9780883859551 |
|
0883859556 |
|
