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Description - The Diophantine Frobenius Problem by Jorge L. Ramirez Alfonsin

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.

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Book Details

ISBN: 9780198568209
ISBN-10: 0198568207
Format: Hardback
(240mm x 65mm x 19mm)
Pages: 260
Imprint: Oxford University Press
Publisher: Oxford University Press
Publish Date: 1-Dec-2005
Country of Publication: United Kingdom

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