Binary Quadratic Forms : An Algorithmic Approach

Language: English

Published by Springer Spektrum, 2010

3642079717 / 9783642079719

Series: Book 12 of 24 - Algorithms and Computation in Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - This book deals with algorithmic problems concerning binary quadratic forms 2 2 f(X,Y)= aX +bXY +cY with integer coe cients a, b, c, the mathem- ical theories that permit the solution of these problems, and applications to cryptography. A considerable part of the theory is developed for forms with real coe cients and it is shown that forms with integer coe cients appear in a natural way. Much of the progress of number theory has been stimulated by the study of concrete computational problems. Deep theories were developed from the classic time of Euler and Gauss onwards to this day that made the solutions ofmanyof theseproblemspossible.Algorithmicsolutionsandtheirproperties became an object of study in their own right. Thisbookintertwinestheexpositionofoneveryclassicalstrandofnumber theory with the presentation and analysis of algorithms both classical and modern which solve its motivating problems. This algorithmic approach will lead the reader, we hope, not only to an understanding of theory and solution methods, but also to an appreciation of the e ciency with which solutions can be reached. The computer age has led to a marked advancement of algorithmic - search. On the one hand, computers make it feasible to solve very hard pr- lems such as the solution of Pell equations with large coe cients. On the other, the application of number theory in public-key cryptography increased the urgency for establishing the complexity of several computational pr- lems: many a computer system stays only secure as long as these problems remain intractable.

Seller Inventory # 9783642079719

Title
Binary Quadratic Forms : An Algorithmic Approach
Author
Johannes Buchmann
Publisher
Springer Spektrum
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3642079717
ISBN 13
9783642079719
Item weight
511 grams
Dimensions
235x155x19 mm
Series
Book 12 of 24: Algorithms and Computation in Mathematics

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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