9780198568209: The Diophantine Frobenius Problem
Couverture rigide
ISBN 10 : 0198568207 ISBN 13 : 9780198568209
Editeur : Oxford University Press, 2005

Synopsis

During the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised he following problem, known as the Frobenius Problem (FP): given relatively prime positive integers a1,...,an, find the largest natural number (called the Frobenius number and denoted by g(a1,...,an) that is not representable as a nonnegative integer combination of a1,...,an, .

At first glance FP may look deceptively specialized. Nevertheless it crops up again and again in the most unexpected places and has been extremely useful in investigating many different problems. A number of methods, from several areas of mathematics, have been used in the hope of finding a formula giving the Frobenius number and algorithms to calculate it. The main intention of this book is to highlight such methods, ideas, viewpoints and applications to a broader audience.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

During the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised he following problem, known as the Frobenius Problem (FP): given relatively prime positive integers a1,...,an, find the largest natural number (called the Frobenius number and denoted by g(a1,...,an) that is not representable as a nonnegative integer combination of a1,...,an, . At first glance FP may look deceptively specialized. Nevertheless it crops up again and again in the most unexpected places and has been extremely useful in investigating many different problems. A number of methods, from several areas of mathematics, have been used in the hope of finding a formula giving the Frobenius number and algorithms to calculate it. The main intention of this book is to highlight such methods, ideas, viewpoints and applications to a broader audience.

Revue de presse

It is a carefully written book that maintains its rigor while successfully managing to cover a wide range of results. Historical remarks enrich the text by putting several scattered results in context. MathSciNet 2007

An invaluable addition to the mathematics discipline it represents a remarkable achievement. Studded with a huge list of helpful references, (Current Engineering Practice)

In the author's words, "This book aims to provide a comprehensive exposition of what is known today on the Frobenius problem." The author has delivered on this promise with remarkable success. (A. Sinan Sertoz, American Mathematical Society)

This is a marvelous publication which will be eagerly sought after by mathematicians round the world. (Current Engineering Practice)

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Oxford University Press
Date d'édition
2005
Langue
anglais
ISBN 10 
0198568207
ISBN 13 
9780198568209
Reliure
Relié
Nombre de pages
260
Coordonnées du fabricant
non disponible
Personne responsable
Ufficio Anagrafiche Messaggerie
ufficio.anagrafiche@meli.it

Via Verdi, 8
Assago Milano
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Italie