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Cover: 9780367392857 | Diophantine Analysis | Jorn Steuding | Taschenbuch | Englisch | 2019
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Diophantine Analysis
Taschenbuch von Jorn Steuding
Sprache: Englisch

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Beschreibung
Diophantine analysis is an extremely active field in number theory because of its many open problems and conjectures. Requiring only a basic understanding of number theory, Diophantine Analysis is built around the detailed theory of continued fractions and features many applications and examples. The author includes many new topics related to discrete mathematics, such as factoring large integers, error-free computing, and factoring polynomials. He also provides problem sections at the end of each chapter, where open problems are discussed along with other new topics, such as Apery's proof of irrationality, the polynomial Pell equation, and the abc-conjecture.
Diophantine analysis is an extremely active field in number theory because of its many open problems and conjectures. Requiring only a basic understanding of number theory, Diophantine Analysis is built around the detailed theory of continued fractions and features many applications and examples. The author includes many new topics related to discrete mathematics, such as factoring large integers, error-free computing, and factoring polynomials. He also provides problem sections at the end of each chapter, where open problems are discussed along with other new topics, such as Apery's proof of irrationality, the polynomial Pell equation, and the abc-conjecture.
Über den Autor
Steuding, Jorn
Inhaltsverzeichnis
Introduction: basic principles. Classical approximation theorems. Continued fractions. The irrationality of zeta(3). Quadratic irrationals. The Pell equation. Factoring with continued fractions. Transcendental numbers. The theorem of Roth. The abc-conjecture. P-adic numbers. Hensel's lemma. The local-global principle.
Details
Erscheinungsjahr: 2019
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780367392857
ISBN-10: 0367392852
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Steuding, Jorn
Hersteller: CRC Press
Maße: 229 x 155 x 18 mm
Von/Mit: Jorn Steuding
Erscheinungsdatum: 05.09.2019
Gewicht: 0,386 kg
Artikel-ID: 128405586
Über den Autor
Steuding, Jorn
Inhaltsverzeichnis
Introduction: basic principles. Classical approximation theorems. Continued fractions. The irrationality of zeta(3). Quadratic irrationals. The Pell equation. Factoring with continued fractions. Transcendental numbers. The theorem of Roth. The abc-conjecture. P-adic numbers. Hensel's lemma. The local-global principle.
Details
Erscheinungsjahr: 2019
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780367392857
ISBN-10: 0367392852
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Steuding, Jorn
Hersteller: CRC Press
Maße: 229 x 155 x 18 mm
Von/Mit: Jorn Steuding
Erscheinungsdatum: 05.09.2019
Gewicht: 0,386 kg
Artikel-ID: 128405586
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