Handbook of Number Theory II
(Sprache: Englisch)
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...
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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.
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.
Please note that this publication is available as print only OR online only OR print + online bundle. Save 75% when purchasing the bundle. For more information on the online version please type the publication title into the search box above, then click on the "eReference" version.
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.
Please note that this publication is available as print only OR online only OR print + online bundle. Save 75% when purchasing the bundle. For more information on the online version please type the publication title into the search box above, then click on the "eReference" version.
Inhaltsverzeichnis zu „Handbook of Number Theory II “
From the contents:- 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
Autoren-Porträt von Jozsef Sandor, Borislav Crstici
Bibliographische Angaben
- Autoren: Jozsef Sandor , Borislav Crstici
- 2004, 2004, 637 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer Netherlands
- ISBN-10: 1402025467
- ISBN-13: 9781402025464
- Erscheinungsdatum: 10.01.2005
Sprache:
Englisch
Rezension zu „Handbook of Number Theory II “
From the reviews:"It is the aim of this monograph to give, in an encyclopedic manner, surveys on some topics of Number Theory with many hints to the literature. ... The reviewer thinks that this monograph is a great help to number theorists ... ." (Wolfgang Schwarz, Zentralblatt MATH, Vol. 1079 (5), 2006)"This book is a compendium of results in certain areas of number theory ... . This volume can be quite useful for researchers ... and each chapter ends with a large list of references." (Don Redmond, Mathematical Reviews, Issue 2005 k)
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