
Geometry of Numbers: Volume 37
North-Holland (Publisher)
2nd Edition
Published on 1. May 1987
Book
Hardback
731 pages
978-0-444-70152-7 (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.
Reviews / Votes
This new edition is an important contribution to the literature on the geometry of numbers, and deserves a place in every tertiary library.The Australian Mathematics TeacherThis excellent book can be used as a reference book as well as an advanced introduction to geometry of numbers.Zentralblatt fuer MathematikMore details
Series
Edition
2nd edition
Language
English
Place of publication
United States
Publishing group
Elsevier Science & Technology
Target group
College/higher education
Professional and scholarly
Edition type
New edition
Weight
1110 gr
ISBN-13
978-0-444-70152-7 (9780444701527)
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 | P. M. Gruber
Geometry of Numbers
E-Book
05/1987
2nd Edition
North-Holland
€54.95
Available for download
Persons
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.