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Geometry of numbers

Author: Peter M Gruber; C G Lekkerkerker
Publisher: Amsterdam ; New York : North-Holland ; New York, NY, U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1987.
Series: North-Holland mathematical library, v. 37.
Edition/Format:   eBook : Document : English : 2nd edView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Gruber, Peter M., 1941-
Geometry of numbers.
Amsterdam ; New York : North-Holland ; New York, NY, U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1987
(DLC) 86017505
(OCoLC)15018942
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Peter M Gruber; C G Lekkerkerker
ISBN: 9780444701527 0444701524 9780080960234 0080960235
OCLC Number: 316566669
Notes: Previous edition by Lekkerkerker.
Description: 1 online resource (xv, 732 pages).
Contents: 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.
Series Title: North-Holland mathematical library, v. 37.
Responsibility: P.M. Gruber, C.G. Lekkerkerker.
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Abstract:

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.

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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 Read more...

 
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