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Introduction to Number Theory
Taschenbuch von Anthony Vazzana (u. a.)
Sprache: Englisch

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Beschreibung
Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert's tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Euler's theorem in RSA encryption, and quadratic residues in the construction of tournaments.

Ideal for a one- or two-semester undergraduate-level course, this Second Edition:

  • Features a more flexible structure that offers a greater range of options for course design
  • Adds new sections on the representations of integers and the Chinese remainder theorem
  • Expands exercise sets to encompass a wider variety of problems, many of which relate number theory to fields outside of mathematics (e.g., music)
  • Provides calculations for computational experimentation using SageMath, a free open-source mathematics software system, as well as Mathematica® and Maple(TM), online via a robust, author-maintained website
  • Includes a solutions manual with qualifying course adoption

By tackling both fundamental and advanced subjects-and using worked examples, numerous exercises, and popular software packages to ensure a practical understanding-Introduction to Number Theory, Second Edition instills a solid foundation of number theory knowledge.

Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert's tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Euler's theorem in RSA encryption, and quadratic residues in the construction of tournaments.

Ideal for a one- or two-semester undergraduate-level course, this Second Edition:

  • Features a more flexible structure that offers a greater range of options for course design
  • Adds new sections on the representations of integers and the Chinese remainder theorem
  • Expands exercise sets to encompass a wider variety of problems, many of which relate number theory to fields outside of mathematics (e.g., music)
  • Provides calculations for computational experimentation using SageMath, a free open-source mathematics software system, as well as Mathematica® and Maple(TM), online via a robust, author-maintained website
  • Includes a solutions manual with qualifying course adoption

By tackling both fundamental and advanced subjects-and using worked examples, numerous exercises, and popular software packages to ensure a practical understanding-Introduction to Number Theory, Second Edition instills a solid foundation of number theory knowledge.

Inhaltsverzeichnis
Introduction. Divisibility. Greatest Common Divisor. Primes. Congruences. Special Congruences. Primitive Roots. Cryptography. Quadratic Residues. Applications of Quadratic Residues. Sums of Squares. Further Topics in Diophantine Equations. Continued Fractions. Continued Fraction Expansions of Quadratic Irrationals. Arithmetic Functions. Large Primes. Analytic Number Theory. Elliptic Curves.
Details
Erscheinungsjahr: 2024
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Einband - flex.(Paperback)
ISBN-13: 9781032920085
ISBN-10: 1032920084
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Vazzana, Anthony
Garth, David
Auflage: 2. Auflage
Hersteller: Taylor & Francis Ltd
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 156 x 233 x 27 mm
Von/Mit: Anthony Vazzana (u. a.)
Erscheinungsdatum: 14.10.2024
Gewicht: 0,634 kg
Artikel-ID: 129951164
Inhaltsverzeichnis
Introduction. Divisibility. Greatest Common Divisor. Primes. Congruences. Special Congruences. Primitive Roots. Cryptography. Quadratic Residues. Applications of Quadratic Residues. Sums of Squares. Further Topics in Diophantine Equations. Continued Fractions. Continued Fraction Expansions of Quadratic Irrationals. Arithmetic Functions. Large Primes. Analytic Number Theory. Elliptic Curves.
Details
Erscheinungsjahr: 2024
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Einband - flex.(Paperback)
ISBN-13: 9781032920085
ISBN-10: 1032920084
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Vazzana, Anthony
Garth, David
Auflage: 2. Auflage
Hersteller: Taylor & Francis Ltd
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 156 x 233 x 27 mm
Von/Mit: Anthony Vazzana (u. a.)
Erscheinungsdatum: 14.10.2024
Gewicht: 0,634 kg
Artikel-ID: 129951164
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