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An Introduction to the Geometry of Numbers : Classics in Mathematics - J. W. S. Cassels

An Introduction to the Geometry of Numbers

Classics in Mathematics

Paperback Published: 16th December 1996
ISBN: 9783540617884
Number Of Pages: 345

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From the reviews: "The work is carefully written. It is well motivated, and interesting to read, even if it is not always easy... historical material is included... the author has written excellent account of an interesting subject." Mathematical Gazette "A well-written, very thorough account ... Among the topi are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references." The American Mathematical Monthly

From the reviews:

"The work is carefully written. It is well motivated, and interesting to read, even if it is not always easy... historical material is included... the author has written excellent account of an interesting subject."
-Mathematical Gazette

"A well-written, very thorough account ... Among the topi are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references." -The American Mathematical Monthly

"It is very clearly written, and assumes little in the way of prerequisites. In particular, it is accessible to an undergraduate who is willing to work a bit, and I speak from experience as I first read the book the summer before I started graduate school. At the same time, it is a serious work giving an exhaustive (and not at all watered down) account of Minkowski's theory. ... This book certainly earns its place in a series on the 'Classics in Mathematics.'" (Darren Glass, The Mathematical Association of America, January, 2011)

Notation
Prologuep. 1
Latticesp. 9
Reductionp. 26
Theorems of Blichfeldt and Minkowskip. 64
Distance functionsp. 103
Mahler's compactness theoremp. 121
The theorem of Minkowski-Hlawkap. 175
The quotient spacep. 194
Successive minimap. 201
Packingsp. 223
Automorphsp. 256
Inhomogeneous problemsp. 303
Appendixp. 332
Referencesp. 334
Indexp. 343
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540617884
ISBN-10: 3540617884
Series: Classics in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 345
Published: 16th December 1996
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.65 x 15.82  x 2.24
Weight (kg): 0.54

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