The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook (Hardcover)

Nigel P. Smart

ISBN 10: 052164156X / ISBN 13: 9780521641562

Verlag: Cambridge University Press, Cambridge, 1998

Beschreibung

Hardcover. 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. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Bestandsnummer des Verkäufers 9780521641562

Bibliografische Details

• Titel: The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook (Hardcover)
• Verlag: Cambridge University Press, Cambridge
• Erscheinungsjahr: 1998
• Sprache: Englisch
• ISBN-10: 052164156X
• ISBN-13: 9780521641562
• Einband: Hardcover
• Zustand: new

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.