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Cover: 9781461265450 | Topics in the Theory of Numbers | Janos Suranyi (u. a.) | Taschenbuch
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Topics in the Theory of Numbers
Taschenbuch von Janos Suranyi (u. a.)
Sprache: Englisch

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Beschreibung
Number theory, the branch of mathematics which studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones. The authors have gathered together a collection of problems from various topics in number theory that they find beautiful, intriguing, and from a certain point of view instructive. In addition to revealing the beauty of the problems themselves, they have tried to give glimpses into deeper, related mathematics. The book presents problems whose solutions can be obtained using elementary methods. No prior knowledge of number theory is assumed.
Number theory, the branch of mathematics which studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones. The authors have gathered together a collection of problems from various topics in number theory that they find beautiful, intriguing, and from a certain point of view instructive. In addition to revealing the beauty of the problems themselves, they have tried to give glimpses into deeper, related mathematics. The book presents problems whose solutions can be obtained using elementary methods. No prior knowledge of number theory is assumed.
Zusammenfassung
The authors have gathered together a collection of problems from various topics in number theory that they find beautiful, intriguing, and from a certain point of view instructive. The book presents problems whose solutions can be obtained using elementary methods. No prior knowledge of number theory is assumed.
Inhaltsverzeichnis
1. Divisibility, the Fundamental Theorem of Number Theory.- 2. Congruences.- 3. Rational and Irrational Numbers. Approximation of Numbers by Rational Numbers (Diophantine Approximation).- 4. Geometric Methods in Number Theory.- 5. Properties of Prime Numbers.- 6. Sequences of Integers.- 7. Diophantine Problems.- 8. Arithmetic Functions.- Hints to the More Difficult Exercises.
Details
Erscheinungsjahr: 2012
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Undergraduate Texts in Mathematics
Inhalt: xviii
287 S.
3 s/w Illustr.
287 p. 3 illus.
ISBN-13: 9781461265450
ISBN-10: 1461265452
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Suranyi, Janos
Erdös, Paul
Übersetzung: Guiduli, B.
Auflage: Softcover reprint of the original 1st ed. 2003
Hersteller: Springer New York
Springer US, New York, N.Y.
Undergraduate Texts in Mathematics
Maße: 235 x 155 x 17 mm
Von/Mit: Janos Suranyi (u. a.)
Erscheinungsdatum: 01.11.2012
Gewicht: 0,476 kg
Artikel-ID: 105125232
Zusammenfassung
The authors have gathered together a collection of problems from various topics in number theory that they find beautiful, intriguing, and from a certain point of view instructive. The book presents problems whose solutions can be obtained using elementary methods. No prior knowledge of number theory is assumed.
Inhaltsverzeichnis
1. Divisibility, the Fundamental Theorem of Number Theory.- 2. Congruences.- 3. Rational and Irrational Numbers. Approximation of Numbers by Rational Numbers (Diophantine Approximation).- 4. Geometric Methods in Number Theory.- 5. Properties of Prime Numbers.- 6. Sequences of Integers.- 7. Diophantine Problems.- 8. Arithmetic Functions.- Hints to the More Difficult Exercises.
Details
Erscheinungsjahr: 2012
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Undergraduate Texts in Mathematics
Inhalt: xviii
287 S.
3 s/w Illustr.
287 p. 3 illus.
ISBN-13: 9781461265450
ISBN-10: 1461265452
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Suranyi, Janos
Erdös, Paul
Übersetzung: Guiduli, B.
Auflage: Softcover reprint of the original 1st ed. 2003
Hersteller: Springer New York
Springer US, New York, N.Y.
Undergraduate Texts in Mathematics
Maße: 235 x 155 x 17 mm
Von/Mit: Janos Suranyi (u. a.)
Erscheinungsdatum: 01.11.2012
Gewicht: 0,476 kg
Artikel-ID: 105125232
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