The Diophantine Frobenius Problem: 30 (Oxford Lecture Series in Mathematics and Its Applications) - Hardcover
Book 8 of 16: Oxford Lecture Series in Mathematics and Its Applications
Synopsis
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.
"synopsis" may belong to another edition of this title.
Review
It is a carefully written book that maintains its rigor while successfully managing to cover a wide range of results. Historical remarks enrich the text by putting several scattered results in context. MathSciNet 2007
An invaluable addition to the mathematics discipline it represents a remarkable achievement. Studded with a huge list of helpful references, (Current Engineering Practice)
In the author's words, "This book aims to provide a comprehensive exposition of what is known today on the Frobenius problem." The author has delivered on this promise with remarkable success. (A. Sinan Sertoz, American Mathematical Society)
This is a marvelous publication which will be eagerly sought after by mathematicians round the world. (Current Engineering Practice)
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Hardcover. Condition: new. Hardcover. 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 offinding 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. 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. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198568209
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The Diophantine Frobenius Problem: 30 (Oxford Lecture Series in Mathematics and Its Applications)
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Condition: New. 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. Series: Oxford Lecture Series in Mathematics & Its Applications. Num Pages: 260 pages, line drawings. BIC Classification: PBH. Category: (P) Professional & Vocational. Dimension: 240 x 65 x 19. Weight in Grams: 537. . 2005. Illustrated. hardcover. . . . . Seller Inventory # V9780198568209
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