An Introduction to the Smarandache Function
by Charles Ashbacher
Publisher: Erhus Univ Pr 1995
ISBN/ASIN: 1879585499
ISBN-13: 9781879585492
Number of pages: 62
Description:
As one of the oldest mathematical disciplines, the roots of number theory extend back into antiquity. Problems are often easy to state, but extremely difficult to solve, which is the origin of their charm. All mathematicians have a soft spot in their hearts for the "purity" of the integers. In the 1970's a Rumanian mathematician Florentin Smarandache created a new function in number theory.
The consequences of its simple definition encompass many areas of mathematics. The purpose of this text is to examine some of those consequences, giving the reader a taste for this unexplored territory.
Download or read it online for free here:
Download link
(1.6MB, PDF)
Similar books
Notes on Fermionic Fock Space for Number Theoristsby Greg W. Anderson - The University of Arizona
This is a compilation of exercises, worked examples and key references that the author compiled in order to help readers learn their way around fermionic Fock space. The text is suitable for use by graduate students with an interest in number theory.
(12135 views)
Predicative Arithmeticby Edward Nelson - Princeton Univ Pr
The book based on lecture notes of a course given at Princeton University in 1980. From the contents: the impredicativity of induction, the axioms of arithmetic, order, induction by relativization, the bounded least number principle, and more.
(17797 views)
Introduction to Shimura Varietiesby J.S. Milne
This is an introduction to the theory of Shimura varieties, or, in other words, to the arithmetic theory of automorphic functions and holomorphic automorphic forms. Because of their brevity, many proofs have been omitted or only sketched.
(9505 views)
The Smarandache Functionby C. Dumitrescu, V. Seleacu - Erhus University Press
The function in the title is originated from the Romanian mathematician Florentin Smarandache, who has significant contributions in mathematics and literature. This text introduces the Smarandache function and discusses its generalisations.
(12500 views)