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Synopsis
An elementary and computationally explicit introduction to the theory of binary quadratic forms. Where possible, the emphasis is on explicit, algorithmically sensible proofs and examples. Constructive proofs are preferred over existence proofs. The author offers a contemporary discussion of the classical theory and a survey of computations and applications. The text should be understandable by advanced undergraduates in mathematics and computer science, and the expert in number theory will...
- PublisherSpringer
- Publication date1989
- ISBN 10 0387970371
- ISBN 13 9780387970370
- BindingHardcover
- LanguageEnglish
- Number of pages258
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Binary Quadratic Forms : Classical Theory and Modern Computations
Seller: Better World Books, Mishawaka, IN, U.S.A.
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Condition: Very Good. 1989th Edition. Used book that is in excellent condition. May show signs of wear or have minor defects. Seller Inventory # 51889388-6
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Binary Quadratic Forms: Classical Theory and Modern Computations
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Springer-Verlag, New York, 1989
ISBN 10: 0387970371
ISBN 13: 9780387970370
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First Edition
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Hardcover. Condition: Fine. First Edition. First printing. 8vo. 247 pp. Fine. Seller Inventory # x09091
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Binary Quadratic Forms: Classical Theory and Modern Computations
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Hardcover. Condition: 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. Seller Inventory # 015876
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Binary Quadratic Forms: Classical Theory and Modern Computations
Published by
Springer-Verlag, 1989
ISBN 10: 0387970371
ISBN 13: 9780387970370
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First Edition
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Hardcover. Condition: 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. Seller Inventory # ABE-1690723840102
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Binary Quadratic Forms: Classical Theory and Modern Computations.
Seller: Die Wortfreunde - Antiquariat Wirthwein Matthias Wirthwein, Mannheim, Germany
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Gebundene Ausgabe. 247 Seiten 1989. Neuwertiges Exemplar. Sprache: Englisch Gewicht in Gramm: 500. Seller Inventory # 41364
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Binary Quadratic Forms: Classical Theory and Modern Computations
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hardcover. Condition: New. In shrink wrap. Looks like an interesting title! Seller Inventory # Q-0387970371
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Binary Quadratic Forms: Classical Theory and Modern Computations
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Binary Quadratic Forms: Classical Theory and Modern Computations
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Binary Quadratic Forms
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Binary Quadratic Forms
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Springer New York Aug 1989, 1989
ISBN 10: 0387970371
ISBN 13: 9780387970370
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Hardcover
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Buch. Condition: 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. Seller Inventory # 9780387970370
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