Schürmann (mathematics, U. of Magdeburg, Germany) discusses classical questions on quadratic forms and their connections to lattice sphere packing and covering problems. Designed for advanced mathematics and physics students, this book explores the theories of Minkowski and Voronoi in unprecedented depth, revealing new applications to the properties of exceptional structures such as root lattices and the Leech lattice. Use of computer software applications to solve and explore these problems is encouraged throughout the text. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com)
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02176 9780821847350 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2488023
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Softcover. Condizione: Gut. Sauberes Exemplar mit geringen Gebrauchs-/Regalspuren. 1. Auflage 2009. Broschierter Einband. 175 Seiten. 343 Gramm. 26x18cm. Englisch. XV, 162 Seiten. Codice articolo 69861
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Condizione: New. 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. . 2008. Paperback. . . . . Codice articolo V9780821847350
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Paperback. Condizione: New. 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 number fields, connections to the Minkowski conjecture, and the discovery of new, sometimes surprising, properties of exceptional structures such as the Leech lattice or the root lattices. Throughout this book, special attention is paid to algorithms and computability, allowing computer-assisted treatments. Although dealing with relatively classical topics that have been worked on extensively by numerous authors, this book is exemplary in showing how computers may help to gain new insights. Codice articolo LU-9780821847350
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Da: moluna, Greven, Germania
Condizione: New. 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. Codice articolo 1339079188
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Paperback. Condizione: Brand New. new ed. edition. 147 pages. 9.90x7.00x0.40 inches. In Stock. Codice articolo __082184735X
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Da: Kennys Bookstore, Olney, MD, U.S.A.
Condizione: New. 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. . 2008. Paperback. . . . . Books ship from the US and Ireland. Codice articolo V9780821847350
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Paperback. Condizione: New. 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 number fields, connections to the Minkowski conjecture, and the discovery of new, sometimes surprising, properties of exceptional structures such as the Leech lattice or the root lattices. Throughout this book, special attention is paid to algorithms and computability, allowing computer-assisted treatments. Although dealing with relatively classical topics that have been worked on extensively by numerous authors, this book is exemplary in showing how computers may help to gain new insights. Codice articolo LU-9780821847350
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