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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.
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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.
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Binary Quadratic Forms: Classical Theory and Modern Computations.
Anbieter: Die Wortfreunde - Antiquariat Wirthwein Matthias Wirthwein, Mannheim, Deutschland
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Gebundene Ausgabe. 247 Seiten 1989. Neuwertiges Exemplar. Sprache: Englisch Gewicht in Gramm: 500. Bestandsnummer des Verkäufers 41364
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Binary Quadratic Forms : Classical Theory and Modern Computations
Anbieter: Better World Books, Mishawaka, IN, USA
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Zustand: Very Good. 1989th Edition. Used book that is in excellent condition. May show signs of wear or have minor defects. Bestandsnummer des Verkäufers 51889388-6
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Binary Quadratic Forms : Classical Theory and Modern Computations
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Zustand: Very Good. 1989th Edition. Former library book; may include library markings. Used book that is in excellent condition. May show signs of wear or have minor defects. Bestandsnummer des Verkäufers GRP96701787
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Binary Quadratic Forms: Classical Theory and Modern Computations
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Hardcover. Zustand: Near Fine. American First. Complete number line from 1 to 9; previous owner's name on front end paper; otherwise a solid, clean copy with no marking or underlining; collectible condition. Book. Bestandsnummer des Verkäufers 015876
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Binary Quadratic Forms: Classical Theory and Modern Computations
Verlag:
Springer-Verlag, 1989
ISBN 10: 0387970371
ISBN 13: 9780387970370
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Hardcover. Zustand: Near Fine. 1st Edition. Bibliography, tables of positive and negative discriminants, index. 247 pages. Near fine in hardcover (trace dent front cover), without dust jacket as issued. Bestandsnummer des Verkäufers ABE-1690723840102
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Binary Quadratic Forms
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Binary Quadratic Forms: Classical Theory and Modern Computations
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hardcover. Zustand: New. In shrink wrap. Looks like an interesting title! Bestandsnummer des Verkäufers Q-0387970371
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Binary Quadratic Forms: Classical Theory and Modern Computations
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Binary Quadratic Forms
Verlag:
Springer New York, Springer New York Aug 1989, 1989
ISBN 10: 0387970371
ISBN 13: 9780387970370
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Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
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Buch. Zustand: Neu. 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 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 264 pp. Englisch. Bestandsnummer des Verkäufers 9780387970370
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Binary Quadratic Forms
Print-on-DemandAnbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
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Buch. Zustand: 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. 264 pp. Englisch. Bestandsnummer des Verkäufers 9780387970370
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