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The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook: 41 (London Mathematical Society Student Texts, Series Number 41) - Softcover
Synopsis
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.
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Review
'... 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
Book Description
A coherent account of the computational methods used to solve diophantine equations. Topics include local methods, sieving, descent arguments, the LLL algorithm, Baker's theory of linear forms in logarithms, and problems associated with curves. Useful exercises and bibliography are included. Suitable for graduate students and research workers.
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The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook
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The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook (London Mathematical Society Student Texts)
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The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook (London Mathematical Society Student Texts, Series Number 41)
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ISBN 10: 0521646332
ISBN 13: 9780521646338
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The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook
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The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook (London Mathematical Society Student Texts, Series Number 41)
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The Algorithmic Resolution of Diophantine Equations (Paperback)
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Cambridge University Press, Cambridge, 1998
ISBN 10: 0521646332
ISBN 13: 9780521646338
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Paperback. Condition: new. Paperback. Beginning with a brief introduction to algorithms and diophantine equations, this volume aims to provide a coherent modern 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. A modern account of the computational methods used to solve diophantine equations. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521646338
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The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook (London Mathematical Society Student Texts, Series Number 41)
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ISBN 10: 0521646332
ISBN 13: 9780521646338
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The Algorithmic Resolution of Diophantine Equations
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The Algorithmic Resolution of Diophantine Equations
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The Algorithmic Resolution of Diophantine Equations
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A coherent account of the computational methods used to solve diophantine equations. Topics include local methods, sieving, descent arguments, the LLL algorithm, Baker s theory of linear forms in logarithms, and problems associated with curves. Useful exerc. Seller Inventory # 446943675
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