Comments and topics on Smarandache notions and problems
by Kenichiro Kashihara
Publisher: Erhus University Press 1996
Number of pages: 50
This book starts with an examination of some of the problems posed by Florentin Smarandache, one of the foremost mathematicians in the world today. The problems are from many different areas, such as sequences, primes and other aspects of number theory. Some of the problems are solved in the book, although in many cases the author raises additional questions. The second part of the book deals with a function created by the author and given the name the Pseudo Smarandache function.
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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.
by Steve Wright - arXiv
Beginning with Gauss, the study of quadratic residues and nonresidues has subsequently led directly to many of the ideas and techniques that are used everywhere in number theory today, and the primary goal of these lectures is to use this study ...
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 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.