quartonews.it » Math and Science » The Algorithmic Resolution of Diophantine Equations (London Mathematical Society Student Texts)

Author: | Nigel P. Smart |

Subcategory: | Mathematics |

Language: | English |

Publisher: | Cambridge University Press; 1 edition (January 13, 1999) |

Pages: | 260 pages |

Category: | Math and Science |

Rating: | 4.7 |

Other formats: | txt mobi lit docx |

The study is divided into three parts, emphasizing approaches with a wide range of applications. The first section considers basic techniques including local methods, sieving, descent arguments and the LLL algorithm.

Items related to The Algorithmic Resolution of Diophantine Equations. It is a real pleasure to read this book, mainly because the author gives many examples and many practical remarks concerning the effective solution of diophantine equations. Nigel P. Smart The Algorithmic Resolution of Diophantine Equations (London Mathematical Society Student Texts). ISBN 13: 9780521646338. The Algorithmic Resolution of Diophantine Equations (London Mathematical Society Student Texts). this is a very attractive book, full of concrete information, which gives a very clear and lucid view of the current knowledge.

Series: London Mathematical Society Student Texts (41) . Subjects: Number Theory, Recreational Mathematics, Mathematics.

On Polynomials Solutions of Quadratic Diophantine Equations. Diophantine Equations and the Freeness of Möbius Groups. 14028 4 397 Downloads 9 459 Views Citations. 510132 3 163 Downloads 4 162 Views Citations.

Автор: Smart Nigel P. Название: The Algorithmic Resolution of Diophantine Equations Издательство . This text provides a comprehensive introduction to algorithmic number theory for beginning graduate students, written by the leading experts in the field.

This text provides a comprehensive introduction to algorithmic number theory for beginning graduate students, written by the leading experts in the field.

Format Hardback 260 pages.

2 Applications of Local Methods to Diophantine Equations 2. Master's thesis, Mathematical Institute, University of Oxford, UK, 2015. The diophantine equation ax 3 + by 3 + cz 3 0. Acta Mathematica, 85(1):203-362, 1951

2 Applications of Local Methods to Diophantine Equations 25. Some useful preliminary results. Jan 1951. Acta Mathematica, 85(1):203-362, 1951. The Algorithmic Resolution of Diophantine Equations.

Short Text CV. Books. London Mathematical Society Student Text, 41. Cambridge University Press, 1998. ISBN: 0 521 64633 2 (PB) and 0 521 64156 X (HB). Elliptic Curves in Cryptography. Blake and G. Seroussi). London Mathematical Society Lecture Note Series. Cambridge University Press, 1999. ISBN: 0 521 65374 6 (PB).

The Algorithmic Resolution of Diophantine Equations : A Computational Cookbook. The study is divided into three parts, the emphasis throughout being on examining approaches with a wide range of applications.

Triangularly connected decomposable form equations 11. Discriminant form equations Part II. oceedings{Smart1998TheAR, title {The Algorithmic Resolution of Diophantine Equations}, author {Nigel P. Smart}, year {1998} }. Smart. Discriminant form equations Part III. Integral and Rational Points on Curves: 12. Rational points on elliptic curves 13. Integral points on elliptic curves 14. Curves of genus greater than one Appendices References Index.

Beginning with a brief introduction to algorithms and diophantine equations, this volume provides a coherent modern account of the methods used to find all the solutions to certain diophantine equations, particularly those developed for use on a computer. The study is divided into three parts, emphasizing approaches with a wide range of applications. The first section considers basic techniques including local methods, sieving, descent arguments and the LLL algorithm. The second section explores problems that can be solved using Baker's theory of linear forms in logarithms. The final section looks at problems associated with curves, focusing on rational and integral points on elliptic curves. Each chapter concludes with a useful set of exercises. A detailed bibliography is included. This book will appeal to graduate students and research workers interested in solving diophantine equations using computational methods.

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