Ebook: An Introduction to the Geometry of Numbers

Reihentext + Geometry of Numbers 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 an excellent account of an interesting subject." (Mathematical Gazette) "A well-written, very thorough account ... Among the topics are lattices, reduction, Minkowski's Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references." (The American Mathematical Monthly)

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Reihentext + Geometry of Numbers 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 an excellent account of an interesting subject." (Mathematical Gazette) "A well-written, very thorough account ... Among the topics are lattices, reduction, Minkowski's Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references." (The American Mathematical Monthly)

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Reihentext + Geometry of Numbers 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 an excellent account of an interesting subject." (Mathematical Gazette) "A well-written, very thorough account ... Among the topics are lattices, reduction, Minkowski's Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references." (The American Mathematical Monthly)
Content:
Front Matter....Pages N1-VIII
Prologue....Pages 1-8
Lattices....Pages 9-26
Reduction....Pages 26-63
Theorems of BLICHFELDT and MINKOWSKI ....Pages 64-102
Distance-Functions....Pages 103-121
MAHLER’S compactness theorem....Pages 121-174
The theorem of MINKOWSKI-HLAWKA ....Pages 175-193
The quotient space....Pages 194-201
Successive minima....Pages 201-222
Packings....Pages 223-255
Automorphs....Pages 256-303
Inhomogeneous problems....Pages 303-332
Back Matter....Pages 334-343

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Reihentext + Geometry of Numbers 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 an excellent account of an interesting subject." (Mathematical Gazette) "A well-written, very thorough account ... Among the topics are lattices, reduction, Minkowski's Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references." (The American Mathematical Monthly)
Content:
Front Matter....Pages N1-VIII
Prologue....Pages 1-8
Lattices....Pages 9-26
Reduction....Pages 26-63
Theorems of BLICHFELDT and MINKOWSKI ....Pages 64-102
Distance-Functions....Pages 103-121
MAHLER’S compactness theorem....Pages 121-174
The theorem of MINKOWSKI-HLAWKA ....Pages 175-193
The quotient space....Pages 194-201
Successive minima....Pages 201-222
Packings....Pages 223-255
Automorphs....Pages 256-303
Inhomogeneous problems....Pages 303-332
Back Matter....Pages 334-343
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