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<図書>
The diophantine frobenius problem

責任表示 J.L. Ramírez Alfonsín
シリーズ Oxford lecture series in mathematics and its applications ; 30
データ種別 図書
出版情報 New York : Oxford University Press , 2005
本文言語 英語
大きさ xvi, 243 p. ; 25 cm
概要 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, f...nd 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. 続きを見る

所蔵情報



理系図3F 数理独自 RAMI/3/1 2005
023212005006223

書誌詳細

一般注記 Includes bibliographical references and index
著者標目 *Ramírez Alfonsin, Jorge L
件 名 LCSH:Frobenius algebras
LCSH:Frobenius groups
LCSH:Diophantine analysis
分 類 LCC:QA251.5
DC22:512.7
書誌ID 1001235624
ISBN 0198568207
NCID BA74822702
巻冊次 ISBN:0198568207 ; XISBN:9780198568209
登録日 2009.09.18
更新日 2009.11.02