Geometry of Numbers
2nd Edition
Published on 1. May 1987
749 pages
978-0-08-096023-4 (ISBN)
Description
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.
More details
Series
Edition
2nd Revised ed.
Language
English
Place of publication
San Diego
Netherlands
Product notice
Windows
ISBN-13
978-0-08-096023-4 (9780080960234)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
C.G. Lekkerkerker | Pascale Gruber
Geometry of Numbers: Volume 37
Book
05/1987
2nd Edition
North-Holland
€54.46
Article exhausted; check different version
Previous edition
C. G. Lekkerkerker | N. G. De Bruijn | J. De Groot
Geometry of Numbers
E-Book
05/2014
1st Edition
Elsevier
€70.95
Available for download
Content
Chapters: 1. Preliminaries. Supplement: Preliminaries. 2. Convex Bodies and Lattice Points. Supplement: Fundamental Theorems. Lattice Polytopes. Large Convex Bodies. Reduction Theory. Tiling. 3. The Critical Determinant, The Covering Constant and the Inhomogeneous Determinant of a Set. Supplement: Suprema and Infima over Lattices. Packing. Covering. 4. Star Bodies. Supplement: Boundary Lattice Points. 5. Some Methods. Note. 6. Homogeneous Forms. Supplement: Packing of Balls. Extreme Forms. Zeta-Functions. Homogeneous Minima. 7. Inhomogeneous Forms. Supplement: Covering with Balls. Product of Inhomogeneous Linear Forms. Inhomogeneous Forms. Geometry of Numbers in Other Spaces. References. Index.
