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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: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: |
xviii
287 S. 3 s/w Illustr. 287 p. 3 illus. |
ISBN-13: | 9781461265450 |
ISBN-10: | 1461265452 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: |
Suranyi, Janos
Erdös, Paul |
Übersetzung: | Guiduli, B. |
Auflage: | Softcover reprint of the original 1st edition 2003 |
Hersteller: |
Springer US
Springer New York |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 235 x 155 x 17 mm |
Von/Mit: | Janos Suranyi (u. a.) |
Erscheinungsdatum: | 01.11.2012 |
Gewicht: | 0,476 kg |
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: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: |
xviii
287 S. 3 s/w Illustr. 287 p. 3 illus. |
ISBN-13: | 9781461265450 |
ISBN-10: | 1461265452 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: |
Suranyi, Janos
Erdös, Paul |
Übersetzung: | Guiduli, B. |
Auflage: | Softcover reprint of the original 1st edition 2003 |
Hersteller: |
Springer US
Springer New York |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 235 x 155 x 17 mm |
Von/Mit: | Janos Suranyi (u. a.) |
Erscheinungsdatum: | 01.11.2012 |
Gewicht: | 0,476 kg |
Sicherheitshinweis