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Computational Geometry of Positive Definite Quadratic Forms (University Lecture Series)
Achill Schurmann
€ 71.05
€ 65.14
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Description for Computational Geometry of Positive Definite Quadratic Forms (University Lecture Series)
Paperback. Starting from classical arithmetical questions on quadratic forms, this book takes the reader step by step through the connections with lattice sphere packing and covering problems. As a model for polyhedral reduction theories of positive definite quadratic forms, it presents Minkowski's classical theory. Series: University Lecture Series. Num Pages: 147 pages, Illustrations. BIC Classification: PBH; PBMW; PBP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 341.
Starting from classical arithmetical questions on quadratic forms, this book takes the reader step by step through the connections with lattice sphere packing and covering problems. As a model for polyhedral reduction theories of positive definite quadratic forms, Minkowski's classical theory is presented, including an application to multidimensional continued fraction expansions. The reduction theories of Voronoi are described in great detail, including full proofs, new views, and generalizations that cannot be found elsewhere. Based on Voronoi's second reduction theory, the local analysis of sphere coverings and several of its applications are presented. These include the classification of totally real thin ... Read more
Starting from classical arithmetical questions on quadratic forms, this book takes the reader step by step through the connections with lattice sphere packing and covering problems. As a model for polyhedral reduction theories of positive definite quadratic forms, Minkowski's classical theory is presented, including an application to multidimensional continued fraction expansions. The reduction theories of Voronoi are described in great detail, including full proofs, new views, and generalizations that cannot be found elsewhere. Based on Voronoi's second reduction theory, the local analysis of sphere coverings and several of its applications are presented. These include the classification of totally real thin ... Read more
Product Details
Format
Paperback
Publication date
2008
Publisher
American Mathematical Society
Condition
New
Series
University Lecture Series
Place of Publication
Providence, United States
ISBN
9780821847350
SKU
V9780821847350
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
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