Handbook of Number Theory II

2004. Auflage 2006
ISBN: 978-1-4020-4882-1
Verlag: Springer

Buch, Englisch, 637 Seiten, Book + Online Access, Format (B × H): 160 mm x 240 mm, Gewicht: 637 g

This handbook focuses on some important topics from Number Theory and Discrete Mathematics. These include the sum of divisors function with the many old and new issues on Perfect numbers; Euler's totient and its many facets; the Möbius function along with its generalizations, extensions, and applications; the arithmetic functions related to the divisors or the digits of a number; the Stirling, Bell, Bernoulli, Euler and Eulerian numbers, with connections to various fields of pure or applied mathematics. Each chapter is a survey and can be viewed as an encyclopedia of the considered field, underlining the interconnections of Number Theory with Combinatorics, Numerical mathematics, Algebra, or Probability Theory.This reference work will be useful to specialists in number theory and discrete mathematics as well as mathematicians or scientists who need access to some of these results in other fields of research.

Zielgruppe

Research

Autoren/Hrsg.

Sandor, Jozsef

Crstici, Borislav

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Algebra Elementare Algebra
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung

Inhaltsverzeichnis

Preface.- Basic Symbols.- Basic Notations.- Perfect Numbers: Old and New Issues: Perspectives.- Generalizations and Extensions of the Möbius Function.- The many Facets of Euler’s Totient.- Special Arithmetic Function connected with the Divisors, or with the Digits of a Number.- Sterling, Bell, Bernoulli, Euler and Eulerian Numbers.- Reference.- Index.