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Geometry of numbers /

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. Th...

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Bibliographic Details
Main Authors: Gruber, Peter M., 1941
Corporate Authors: Elsevier Science & Technology
Group Author: Lekkerkerker, C. G. Cornelis Gerrit, 1922; Lekkerkerker, C. G. Cornelis Gerrit, 1922-
Published: North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
Publisher Address: Amsterdam ; New York : New York, NY, U.S.A. :
Publication Dates: 1987.
Literature type: eBook
Language: English
Edition: Second edition.
Series: North-Holland mathematical library ; v. 37
Subjects:
Geometry of numbers
Convex bodies
Lattice theory
Ge ome trie des nombres
Corps convexes
Treillis, The orie des
MATHEMATICS > Number Theory
Convexe lichamen
Getaltheorie
Teoria Geometrica Dos Numeros
Electronic books
Online Access: http://www.sciencedirect.com/science/bookseries/09246509/37
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 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 defi
Item Description: Previous edition by Lekkerkerker.
Carrier Form: 1 online resource (xv, 732 pages).
Bibliography: Includes bibliographical references (pages 632-725) and index.
ISBN: 9780444701527
0444701524
9780080960234
0080960235
Index Number: QA241
CLC: O156.3
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.

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