Pluckings from the tree of Smarandache: Sequences and functions
by Charles Ashbacher
Publisher: American Research Press 1998
Number of pages: 80
This is the third book in a series of works exploring the set of problems called Smarandache Notions. In this case, however, there is a concerted effort to delve more deeply into the fundamental mathematics of the problems and resolve the issues. The level of difficulty here will be somewhat higher than that of the previous books.
Download or read it online for free here:
by Charles Ashbacher - Erhus University Press
This text deals with some advanced consequences of the Smarandache function. The reading of this book is a form of mindjoining, where the author tries to create the opportunity for a shared experience of an adventure.
by Richard Dedekind - The Open Court Publishing
This is a book combining two essays: 'Continuity and irrational numbers' - Dedekind's way of defining the real numbers from rational numbers; and 'The nature and meaning of numbers' where Dedekind offers a precise explication of the natural numbers.
by Pete L. Clark - University of Georgia
The goal is to find and explore open questions in both geometry of numbers -- e.g. Lattice Point Enumerators, the Ehrhart-Polynomial, Minkowski's Convex Body Theorems, Minkowski-Hlawka Theorem, ... -- and its applications to number theory.
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.