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 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.
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 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.