The Algorithmic Resolution of Diophantine Equations (Paperback)

Nigel P. Smart

ISBN 10: 0521646332 / ISBN 13: 9780521646338

Verlag: Cambridge University Press, Cambridge, 1998

Beschreibung

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.

Bestandsnummer des Verkäufers 9780521646338

Bibliografische Details

• Titel: The Algorithmic Resolution of Diophantine Equations (Paperback)
• Verlag: Cambridge University Press, Cambridge
• Erscheinungsjahr: 1998
• Sprache: Englisch
• ISBN-10: 0521646332
• ISBN-13: 9780521646338
• Einband: Paperback
• Zustand: new

Über diesen Titel

Inhaltsangabe

A coherent account of the computational methods used to solve diophantine equations.

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.