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The coin exchange problem: The minimal transversal method in Numerical semigroups - Eli Leher
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Eli Leher:

The coin exchange problem: The minimal transversal method in Numerical semigroups - Taschenbuch

ISBN: 3639143264

[SR: 7716394], Paperback, [EAN: 9783639143263], VDM Verlag, VDM Verlag, Book, [PU: VDM Verlag], VDM Verlag, Suppose our monetary system used only coins of the values 5 and 8. Which bills could we exchange using only these coins? How many sums are impossible to get? More generally, let a,b,...,n be natural numbers (the values of the coins). The set of all natural combinations of these numbers is a numerical semigroup. Our goal is to determine the structure of this semigroup. This question, known as the coin exchange problem or the Frobenius problem, captured the imagination of many mathematicians ever since it was first proposed by Sylvester in 1884. If we use only 2 kinds of coins, the answer is quite simple, but the case of 3 or more turns out to be much more complicated and interesting. This book presents the problem in a clear and vivid way, and shows an ingenious simple method to solve it. The main parameters of the problem, including the Frobenius number and genus, are explained and discussed. Finally, the book presents the surprising link between numerical semigroups and cyclotomic polynomials. The subject, as well as the clever solution and clear presentation, make this book a delight to anyone interested in mathematics, professionals and amateurs alike., 13884, Mathematics, 226699, Applied, 226700, Geometry & Topology, 13942, History, 13944, Infinity, 13955, Mathematical Analysis, 13957, Matrices, 13961, Number Systems, 13965, Popular & Elementary, 226698, Pure Mathematics, 13979, Reference, 13981, Research, 13985, Study & Teaching, 13989, Transformations, 13991, Trigonometry, 75, Science & Math, 1000, Subjects, 283155, Books, 468218, Mathematics, 491542, Algebra & Trigonometry, 491544, Calculus, 491546, Geometry, 491548, Statistics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books

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The coin exchange problem - Leher, Eli
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Leher, Eli:

The coin exchange problem - Taschenbuch

2009, ISBN: 9783639143263

[ED: Softcover], [PU: Vdm Verlag Dr. Müller], Suppose our monetary system used only coins of thevalues 5 and 8. Which bills could we exchange usingonly these coins? How many sums are impossible toget? More generally, let a,b,...,n be natural numbers(the values of the coins). The set of all naturalcombinations of these numbers is a numericalsemigroup. Our goal is to determine the structure ofthis semigroup.This question, known as the coin exchange problem orthe Frobenius problem, captured the imagination ofmany mathematicians ever since it was first proposedby Sylvester in 1884. If we use only 2 kinds of coins, the answer is quitesimple, but the case of 3 or more turns out to bemuch more complicated and interesting.This book presents the problem in a clear and vividway, and shows an ingenious simple method to solveit. The main parameters of the problem, including theFrobenius number and genus, are explained anddiscussed. Finally, the book presents the surprisinglink between numerical semigroups and cyclotomicpolynomials. The subject, as well as the cleversolution and clear presentation, make this book adelight to anyone interested in mathematics,professionals and amateurs alike.2009. 92 S.Versandfertig in 3-5 Tagen, [SC: 0.00]

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The coin exchange problem - Eli Leher
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Eli Leher:
The coin exchange problem - Taschenbuch

ISBN: 3639143264

Paperback, [EAN: 9783639143263], VDM Verlag, VDM Verlag, Book, [PU: VDM Verlag], VDM Verlag, 278320, Mathematics, 278321, Algebra, 278329, Applied Mathematics, 278337, Calculus & Mathematical Analysis, 922518, Chaos, 278348, Combinatorics & Graph Theory, 278350, Discrete Mathematics, 922526, Education, 278353, Geometry & Topology, 278362, History of Mathematics, 278363, Mathematical Foundations, 922522, Mathematical Theory, 922530, Modelling, 278373, Numbers, 278380, Optimisation, 278384, Philosophy of Mathematics, 922520, Popular Maths, 278385, Probability & Statistics, 922944, Recreational, 278386, Reference, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 564352, Mathematics, 570902, Algebra, 570874, Applied Mathematics, 570912, Calculus & Mathematical Analysis, 570934, Combinatorics & Graph Theory, 570936, Geometry, 570964, Mathematical Theory, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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The Coin Exchange Problem - Eli Leher
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Eli Leher:
The Coin Exchange Problem - Taschenbuch

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Softcover, New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK., [PU: VDM Verlag]

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The coin exchange problem
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ISBN: 9783639143263

ID: 356d82233e06d06241b52161de3bfc53

Suppose our monetary system used only coins of the, [PU: VDM Verlag Dr. Müller, Saarbrücken]

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The coin exchange problem
Autor:

Leher, Eli

Titel:

The coin exchange problem

ISBN-Nummer:

3639143264

Detailangaben zum Buch - The coin exchange problem


EAN (ISBN-13): 9783639143263
ISBN (ISBN-10): 3639143264
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2009
Herausgeber: VDM Verlag
92 Seiten
Gewicht: 0,153 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 05.01.2008 23:21:01
Buch zuletzt gefunden am 19.08.2016 13:19:52
ISBN/EAN: 3639143264

ISBN - alternative Schreibweisen:
3-639-14326-4, 978-3-639-14326-3

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