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 ...
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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.
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Add this copy of Binary Quadratic Forms: An Algorithmic Approach to cart. $51.65, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2010 by Springer-Verlag Berlin and Heidelberg GmbH & Co. K.
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2010, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Add this copy of Binary Quadratic Forms to cart. $36.40, new condition, Sold by Media Smart rated 4.0 out of 5 stars, ships from Hawthorne, CA, UNITED STATES, published 2007 by Springer.
Add this copy of Binary Quadratic Forms: an Algorithmic Approach to cart. $44.59, new condition, Sold by discount_scientific_books rated 3.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2007 by Springer.
Add this copy of Binary Quadratic Forms: an Algorithmic Approach to cart. $46.48, new condition, Sold by discount_scientific_books rated 3.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2007 by Springer.
Add this copy of Binary Quadratic Forms: An Algorithmic Approach to cart. $51.65, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2007 by Springer.
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New. Print on demand Sewn binding. Cloth over boards. 318 p. Contains: Unspecified, Tables, black & white. Algorithms and Computation in Mathematics, 20.
