| 期刊全称 | Binary Quadratic Forms | | 期刊简称 | An Algorithmic Appro | | 影响因子2023 | Johannes Buchmann,Ulrich Vollmer | | 视频video | | | 发行地址 | Buchmann is a leader in number theory in the world.Only book focussing on the algorithmic aspects of the theory | | 学科分类 | Algorithms and Computation in Mathematics | | 图书封面 |  | | 影响因子 | 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 | | Pindex | Book 2007 |
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发表于 2025-3-21 16:42:51
