Algebra

Binary Quadratic Forms : Classical Theory and Modern Computations

Name: Binary Quadratic Forms : Classical Theory and Modern Computations
Brand: Springer
SKU: 9780387970370
Price: 15135.00 INR
Availability: InStock
ISBN: 9780387970370

BINARY QUADRATIC FORMS 1989/E

Contributor(s): Buell, Duncan A. Author Format: Hardback

Hardback · ISBN 9780387970370

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Key Specifications

ISBN	9780387970370
Subtitle	BINARY QUADRATIC FORMS 1989/E
Publisher	Springer
Publication date	August 1989
Language	English
MRP	£119.99 GBP
Page count	264
Item weight	121 g

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.

Binary Quadratic Forms : Classical Theory and Modern Computations

Key Specifications

Buell, Duncan A. Author

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