Binary Quadratic Forms: An Algorithmic Approach - Couverture souple

Buchmann, Johannes; Vollmer, Ulrich

9783642079719: Binary Quadratic Forms: An Algorithmic Approach

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ISBN 10 : 3642079717 ISBN 13 : 9783642079719

Editeur : Springer, 2010

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The book deals with algorithmic problems related to binary quadratic forms. Written by a world leader in number theory, it is the only book focusing on the algorithmic aspects of the theory. It deals with problems such as finding the representations of an integer by a form with integer coefficients, finding the minimum of a form with real coefficients and deciding equivalence of two forms. In order to solve those problems, the book introduces the reader to important areas of number theory such as diophantine equations, reduction theory of quadratic forms, geometry of numbers and algebraic number theory. The book explains applications to cryptography. It requires only basic mathematical knowledge.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

� propos de l?auteur

Buchmann: Professor of Computer Science and Mathematics
special areas number theory, computer algebra, cryptography
associate editor Journal of Cryptology
Leibniz Award of the Deutsche Forschungsgemeinschaft
Author of "Introduction to cryptography" UTM, translated into seven languages
Member of Berlin-Brandenburg Academy of Sciences
Member of Academy of Sciences and Literature, Mainz

Vollmer: Thesis and several articles on algorithms for Class Group and Regulator computation in quadratic fields.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Springer
Date d'�dition: 2010
Langue: anglais
ISBN 10: 3642079717
ISBN 13: 9783642079719
Reliure: Broch�
Num�ro d'�dition: 1
Nombre de pages: 336
Coordonn�es du fabricant: non disponible
Personne responsable: CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Allemagne

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Binary Quadratic Forms

Johannes Buchmann|Ulrich Vollmer

Edit� par Springer Berlin Heidelberg, 2010

ISBN 10 : 3642079717 ISBN 13 : 9783642079719

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Binary Quadratic Forms : An Algorithmic Approach

Ulrich Vollmer

Edit� par Springer Berlin Heidelberg, 2010

ISBN 10 : 3642079717 ISBN 13 : 9783642079719

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Taschenbuch. Etat : Neu. 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. N� de r�f. du vendeur 9783642079719

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Binary Quadratic Forms

Ulrich Vollmer

Edit� par Springer Berlin Heidelberg Nov 2010, 2010

ISBN 10 : 3642079717 ISBN 13 : 9783642079719

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The book deals with algorithmic problems related to binary quadratic forms. It uniquely focuses on the algorithmic aspects of the theory. The book introduces the reader to important areas of number theory such as diophantine equations, reduction theory of quadratic forms, geometry of numbers and algebraic number theory. The book explains applications to cryptography and requires only basic mathematical knowledge. The author is a world leader in number theory. 336 pp. Englisch. N� de r�f. du vendeur 9783642079719

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Binary Quadratic Forms: An Algorithmic Approach (Paperback or Softback)

Buchmann, Johannes

Edit� par Springer 11/25/2010, 2010

ISBN 10 : 3642079717 ISBN 13 : 9783642079719

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Paperback or Softback. Etat : New. Binary Quadratic Forms: An Algorithmic Approach 1.04. Book. N� de r�f. du vendeur BBS-9783642079719

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Binary Quadratic Forms

Ulrich Vollmer

Edit� par Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 2010, 2010

ISBN 10 : 3642079717 ISBN 13 : 9783642079719

Neuf Taschenbuch

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 336 pp. Englisch. N� de r�f. du vendeur 9783642079719

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