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An Introduction to the Geometry of Numbers Book

An Introduction to the Geometry of Numbers
An Introduction to the Geometry of Numbers, From the reviews: A well-written, very thorough account ... Among the topics are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references. The America, An Introduction to the Geometry of Numbers has a rating of 4.5 stars
   2 Ratings
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An Introduction to the Geometry of Numbers, From the reviews: A well-written, very thorough account ... Among the topics are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references. The America, An Introduction to the Geometry of Numbers
4.5 out of 5 stars based on 2 reviews
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  • An Introduction to the Geometry of Numbers
  • Written by author J.W.S. Cassels
  • Published by Springer-Verlag New York, LLC, April 2009
  • From the reviews: "A well-written, very thorough account ... Among the topics are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references." The America
  • 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 Gaze
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Book Categories

Authors

Notation
Prologue1
Ch. ILattices9
Ch. IIReduction26
Ch. IIITheorems of Blichfeldt and Minkowski64
Ch. IVDistance functions103
Ch. VMahler's compactness theorem121
Ch. VIThe theorem of Minkowski-Hlawka175
Ch. VIIThe quotient space194
Ch. VIIISuccessive minima201
Ch. IXPackings223
Ch. XAutomorphs256
Ch. XIInhomogeneous problems303
Appendix332
References334
Index343


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An Introduction to the Geometry of Numbers, From the reviews: A well-written, very thorough account ... Among the topics are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references. The America, An Introduction to the Geometry of Numbers

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An Introduction to the Geometry of Numbers, From the reviews: A well-written, very thorough account ... Among the topics are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references. The America, An Introduction to the Geometry of Numbers

An Introduction to the Geometry of Numbers

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An Introduction to the Geometry of Numbers, From the reviews: A well-written, very thorough account ... Among the topics are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references. The America, An Introduction to the Geometry of Numbers

An Introduction to the Geometry of Numbers

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