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The Diophantine Frobenius Problem
Contributor(s): Ramírez Alfonsín, Jorge L. (Author)

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 ISBN: 0198568207     ISBN-13: 9780198568209
Publisher: Oxford University Press, USA
OUR PRICE: $171.00  

Binding Type: Hardcover - See All Available Formats & Editions
Published: February 2006
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Annotation: 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.

Click for more in this series: Oxford Lecture Series in Mathematics and Its Applications
Additional Information
BISAC Categories:
- Mathematics | Number Theory
Dewey: 512.7
LCCN: 2005019571
Series: Oxford Lecture Series in Mathematics and Its Applications
Physical Information: 0.8" H x 6.1" W x 9.2" L (1.15 lbs) 260 pages
Features: Bibliography, Illustrated, Index, Table of Contents
 
Descriptions, Reviews, Etc.
Publisher 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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