Overview
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.
Full Product Details
Author: Jorge L. Ramírez Alfonsín (, Maître de Conférences, Université Pierre et Marie Curie, Paris 6)
Publisher: Oxford University Press
Imprint: Oxford University Press
Dimensions:
Width: 6.50cm
, Height: 1.90cm
, Length: 24.00cm
Weight: 0.537kg
ISBN: 9780198568209
ISBN 10: 0198568207
Pages: 260
Publication Date: 01 December 2005
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: To order
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.
Reviews
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
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
