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.

Previous edition by Lekkerkerker.

Includes bibliographical references (pages 632-725) and index.

Print version record.

Front Cover; Geometry of Number; Copyright Page; Contents; Chapter 1. Preliminaries; Supplement to Chapter 1; Chapter 2. Convex bodies and lattice points; Supplement to Chapter 2; Chapter 3. The critical determinant. the covering constant and the inhomogeneous determinant of a set; Supplement to Chapter 3; Chapter 4. Star Bodies; Supplement to Chapter 4; Chapter 5. Some methods; Note on Chapter 5; Chapter 6. Homogeneous forms; Supplement to Chapter 6; Chapter 7. Inhomogeneous forms; Supplement to Chapter 7; Bibliography; Index.

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