ENGLISH

The diophantine Frobenius problem

By Jorge L. Ramírez Alfonsín

Book information

Publisher
Oxford University Press
Year
2005
ISBN
9780198568209, 0198568207
LCC
QA251.5 .R36 2005
Open Library ID
OL22715410M
Language
english
Format
PDF
Filesize
4 MB (3792711 bytes)
Series
Oxford lectures series in mathematics and its applications 30
Pages
259\259
Library
mexmat
Time added
2009-07-20 03:45:11

Description

During the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised the 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 FB 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.

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