The Diophantine Frobenius Problem

Inbunden, Engelska, 2005

Del i serien Oxford Lecture Series in Mathematics and Its Applications

2 766 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2005-12-01
Mått:65 x 240 x 19 mm
Vikt:537 g
Format:Inbunden
Språk:Engelska
Serie:Oxford Lecture Series in Mathematics and Its Applications
Antal sidor:260
Förlag:OUP OXFORD
ISBN:9780198568209

Utforska kategorier

Talteori inom Naturvetenskap och teknik

Recensioner i media

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

Innehållsförteckning

Preface ; Acknowledgements ; 1. Algorithmic Aspects ; 2. The Frobenius Number for Small n ; 3. The General Problem ; 4. Sylvester Denumerant ; 5. Integers without Representation ; 6. Generalizations and Related Problems ; 7. Numerical Semigroups ; 8. Applications of the Frobenius Number ; 9. Appendix A ; Bibliography

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The Diophantine Frobenius Problem

AvJorge L. Ramírez Alfonsín

Inbunden, Engelska, 2005

Del i serien Oxford Lecture Series in Mathematics and Its Applications

2 766 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

Produktinformation

Utgivningsdatum:2005-12-01
Mått:65 x 240 x 19 mm
Vikt:537 g
Format:Inbunden
Språk:Engelska
Serie:Oxford Lecture Series in Mathematics and Its Applications
Antal sidor:260
Förlag:OUP OXFORD
ISBN:9780198568209

Utforska kategorier

Talteori inom Naturvetenskap och teknik

Recensioner i media

Innehållsförteckning

Preface ; Acknowledgements ; 1. Algorithmic Aspects ; 2. The Frobenius Number for Small n ; 3. The General Problem ; 4. Sylvester Denumerant ; 5. Integers without Representation ; 6. Generalizations and Related Problems ; 7. Numerical Semigroups ; 8. Applications of the Frobenius Number ; 9. Appendix A ; Bibliography