An Introduction to the Smarandache Function
by Charles Ashbacher
Publisher: Erhus Univ Pr 1995
Number of pages: 62
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.
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by Felice Russo - American Research Press
The fascinating Smarandache's universe is halfway between the recreational mathematics and the number theory. This book presents new Smarandache functions, conjectures, solved and unsolved problems, new type sequences and new notions in number theory.
by 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.
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.
by Krassimir Atanassov - Erhus Univ Pr
A collection of 27 Smarandache's problems which the autor solved by 1999. 22 problems are related to different sequences, 4 problems are proved, modifications of two problems are formulated, and counterexamples to two of the problems are constructed.