This book presents 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. Little mathematical expertise is required beyond an acquaintance with those objects and with some b
Geometry of numbers
✍ Scribed by C.G. Lekkerkerker, P.M. Gruber
- Book ID
- 127425654
- Publisher
- North-Holland
- Year
- 1987
- Tongue
- English
- Weight
- 7 MB
- Series
- North-Holland mathematical library 37
- Edition
- 2nd ed
- Category
- Library
- City
- Amsterdam; New York :, New York, NY, U.S.A
- ISBN
- 0080960235
No coin nor oath required. For personal study only.
✦ Synopsis
This volume contains a fairly complete picture of the geometry of numbers, including relations to other branches of mathematics such as analytic number theory, diophantine approximation, coding and numerical analysis. It deals with convex or non-convex bodies and lattices in euclidean space, etc. This second edition was prepared jointly by P.M. Gruber and the author of the first edition. The authors have retained the existing text (with minor corrections) while adding to each chapter supplementary sections on the more recent developments. While this method may have drawbacks, it has the definite advantage of showing clearly where recent progress has taken place and in what areas interesting results may be expected in the future. <br
✦ Subjects
Теория чисел
📜 SIMILAR VOLUMES
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