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Synopsis
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- ÉditeurSpringer
- Date d'édition2011
- ISBN 10 1461288703
- ISBN 13 9781461288701
- ReliureBroché
- Langueanglais
- Nombre de pages260
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Binary Quadratic Forms: Classical Theory and Modern Computations
Vendeur : Lucky's Textbooks, Dallas, TX, Etats-Unis
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Binary Quadratic Forms: Classical Theory and Modern Computations
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Binary Quadratic Forms
Edité par
Springer New York Sep 2011, 2011
ISBN 10 : 1461288703
ISBN 13 : 9781461288701
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The first coherent exposition of the theory of binary quadratic forms was given by Gauss in the Disqnisitiones Arithmeticae. During the nine teenth century, as the theory of ideals and the rudiments of algebraic number theory were developed, it became clear that this theory of bi nary quadratic forms, so elementary and computationally explicit, was indeed just a special case of a much more elega,nt and abstract theory which, unfortunately, is not computationally explicit. In recent years the original theory has been laid aside. Gauss's proofs, which involved brute force computations that can be done in what is essentially a two dimensional vector space, have been dropped in favor of n-dimensional arguments which prove the general theorems of algebraic number the ory. In consequence, this elegant, yet pleasantly simple, theory has been neglected even as some of its results have become extremely useful in certain computations. I find this neglect unfortunate, because binary quadratic forms have two distinct attractions. First, the subject involves explicit computa tion and many of the computer programs can be quite simple. The use of computers in experimenting with examples is both meaningful and enjoyable; one can actually discover interesting results by com puting examples, noticing patterns in the 'data,' and then proving that the patterns result from the conclusion of some provable theorem. 260 pp. Englisch. N° de réf. du vendeur 9781461288701
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Binary Quadratic Forms
Edité par
Springer New York, 2011
ISBN 10 : 1461288703
ISBN 13 : 9781461288701
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
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Binary Quadratic Forms : Classical Theory and Modern Computations
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The first coherent exposition of the theory of binary quadratic forms was given by Gauss in the Disqnisitiones Arithmeticae. During the nine teenth century, as the theory of ideals and the rudiments of algebraic number theory were developed, it became clear that this theory of bi nary quadratic forms, so elementary and computationally explicit, was indeed just a special case of a much more elega,nt and abstract theory which, unfortunately, is not computationally explicit. In recent years the original theory has been laid aside. Gauss's proofs, which involved brute force computations that can be done in what is essentially a two dimensional vector space, have been dropped in favor of n-dimensional arguments which prove the general theorems of algebraic number the ory. In consequence, this elegant, yet pleasantly simple, theory has been neglected even as some of its results have become extremely useful in certain computations. I find this neglect unfortunate, because binary quadraticforms have two distinct attractions. First, the subject involves explicit computa tion and many of the computer programs can be quite simple. The use of computers in experimenting with examples is both meaningful and enjoyable; one can actually discover interesting results by com puting examples, noticing patterns in the 'data,' and then proving that the patterns result from the conclusion of some provable theorem. N° de réf. du vendeur 9781461288701
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Binary Quadratic Forms: Classical Theory and Modern Computations
Vendeur : Revaluation Books, Exeter, Royaume-Uni
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Paperback. Etat : Brand New. reprint edition. 257 pages. 9.25x6.10x0.71 inches. In Stock. N° de réf. du vendeur x-1461288703
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