The Diophantine Frobenius Problem

di Jorge L. Ramírez Alfonsín (Autore)

Oxford University Press, 2005

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.

• Autore: Jorge L. Ramírez Alfonsín
• Editore: Oxford University Press
• Collana: Oxford Lecture Series in Mathematics and Its Applications
• Anno: 2005
• Rilegatura: Hardback
• Pagine: 260 p.
• Dimensioni: 240 x 65 mm
• Peso: 537 gr.
• EAN: 9780198568209

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