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Handbook of Number Theory II

Authors: Sandor, Jozsef, Crstici, Borislav

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Print + eBook 211,12 €
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  • ISBN 978-1-4020-4882-1
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Print 140,40 €
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eReference 160,65 €
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About this Reference Work

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.

Reviews

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)


Table of contents (5 chapters)

  • Perfect numbers: Old and new issues; perspectives

    Sándor, J. (et al.)

    Pages 15-96

  • Generalizations and extensions of the möbius function

    Sándor, J. (et al.)

    Pages 99-177

  • The many facets of euler’s totient

    Sándor, J. (et al.)

    Pages 179-327

  • Special arithmetic functions connected with the divisors, or with the digits of a number

    Sándor, J. (et al.)

    Pages 329-457

  • Stirling, bell, bernoulli, euler and eulerian numbers

    Sándor, J. (et al.)

    Pages 459-618

Buy this book

Print + eBook 211,12 €
price for Spain (gross)
  • ISBN 978-1-4020-4882-1
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Print 140,40 €
price for Spain (gross)
  • ISBN 978-1-4020-2546-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
eReference 160,65 €
price for Spain (gross)
  • ISBN 978-1-4020-2547-1
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Handbook of Number Theory II
Authors
Copyright
2004
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
Print + eBook ISBN
978-1-4020-4882-1
Print ISBN
978-1-4020-2546-4
eReference ISBN
978-1-4020-2547-1
Edition Number
1
Number of Pages
IV, 637
Topics