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The Diophantine Frobenius Problem.
・ISBN 978-0-19-856820-9 hard GB£ 155.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-19-171822-9
| 著者・編者 | Ram?irez Alfons?in, Jorge L., |
|---|---|
| シリーズ | Oxford Lecture Series in Mathematics and Its Applications |
| 出版社 | (Oxford University Press, UK) |
| 出版年月 | 2005 |
| ページ数 | 260 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-372＞ |
解説
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.