London Mathematical Society Student Texts: The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook Series Number 41 (Paperback)
  • London Mathematical Society Student Texts: The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook Series Number 41 (Paperback)
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London Mathematical Society Student Texts: The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook Series Number 41 (Paperback)

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£44.99
Paperback 260 Pages / Published: 12/11/1998
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Beginning with a brief introduction to algorithms and diophantine equations, this volume aims to provide a coherent account of the methods used to find all the solutions to certain diophantine equations, particularly those procedures which have been developed for use on a computer. The study is divided into three parts, the emphasis throughout being on examining 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 which can be solved using Baker's theory of linear forms in logarithms. The final section looks at problems associated with curves, mainly 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, with a basic knowledge of number theory, who are interested in solving diophantine equations using computational methods.

Publisher: Cambridge University Press
ISBN: 9780521646338
Number of pages: 260
Weight: 390 g
Dimensions: 229 x 152 x 15 mm


MEDIA REVIEWS
'... should certainly establish itself as a key reference for established researchers and a natural starting point for new PhD students in the area.' E. V. Flynn, Bulletin of the London Mathematical Society
"It is high time for such a book to appear...professional mathematicians and even experts in the subject will find it useful as well...Smart did a good job,and his book will efficiently serve as a textbook for beginners and as a reference source for the experts." Mathematical Reviews
"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. ...this is a very attractive book, full of concrete information, which gives a very clear and lucid view of the current knowledge." Bulletin of the AMS

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