A set of new Smarandache functions, sequences and conjectures in number theory
by Felice Russo
Publisher: American Research Press 2000
Number of pages: 114
The Smarandache's universe is undoubtedly very fascinating and is halfway between the number theory and the recreational mathematics. Even though sometime this universe has a very simple structure from number theory standpoint, it doesn't cease to be deeply mysterious and interesting. This book, following the Smarandache spirit, presents new Smarandache functions, new conjectures, solved/unsolved problems, new Smarandache type sequences and new Smarandache Notions in number theory.
Download or read it online for free here:
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 Edward Frenkel - Cambridge University Press
This book provides a review of an important aspect of the geometric Langlands program - the role of representation theory of affine Kac-Moody algebras. It provides introductions to such notions as vertex algebras, the Langlands dual group, etc.
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 Charles Ashbacher - Erhus Univ Pr
In the 1970's a Rumanian mathematician Florentin Smarandache created a new function in number theory, which consequences encompass many areas of mathematics.The purpose of this text is to examine some of those consequences.