**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

**Arithmetic Duality Theorems**

by

**J.S. Milne**-

**BookSurge Publishing**

This book, intended for research mathematicians, proves the duality theorems that have come to play an increasingly important role in number theory and arithmetic geometry, for example, in the proof of Fermat's Last Theorem.

(

**10841**views)

**Predicative Arithmetic**

by

**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.

(

**12160**views)

**Modular Forms, Hecke Operators, and Modular Abelian Varieties**

by

**Kenneth A. Ribet, William A. Stein**-

**University of Washington**

Contents: The Main objects; Modular representations and algebraic curves; Modular Forms of Level 1; Analytic theory of modular curves; Modular Symbols; Modular Forms of Higher Level; Newforms and Euler Products; Hecke operators as correspondences...

(

**5170**views)

**Geometric Theorems and Arithmetic Functions**

by

**Jozsef Sandor**-

**American Research Press**

Contents: on Smarandache's Podaire theorem, Diophantine equation, the least common multiple of the first positive integers, limits related to prime numbers, a generalized bisector theorem, values of arithmetical functions and factorials, and more.

(

**12068**views)