The Classical Smarandache Function And A Formula For Twin Primes
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The Classical Smarandache Function And A Formula For Twin Primes
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Author : Dhananjay P. Mehendale
language : en
Publisher: Infinite Study
Release Date :
The Classical Smarandache Function And A Formula For Twin Primes written by Dhananjay P. Mehendale and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
This short paper presents an exact formula for counting twin prime pairs less than or equal to x in terms of the classical Smarandache Function.
Scientia Magna Vol 1 No 2 2005
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Author : Zhang Wenpeng
language : en
Publisher: Infinite Study
Release Date : 2006
Scientia Magna Vol 1 No 2 2005 written by Zhang Wenpeng and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.
Collection of papers from various scientists dealing with smarandache notions in science.
The Math Encyclopedia Of Smarandache Type Notions
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Author : Marius Coman
language : en
Publisher: Infinite Study
Release Date :
The Math Encyclopedia Of Smarandache Type Notions written by Marius Coman and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
About the works of Florentin Smarandache have been written a lot of books (he himself wrote dozens of books and articles regarding math, physics, literature, philosophy). Being a globally recognized personality in both mathematics (there are countless functions and concepts that bear his name) and literature, it is natural that the volume of writings about his research is huge. What we try to do with this encyclopedia is to gather together as much as we can both from Smarandache’s mathematical work and the works of many mathematicians around the world inspired by the Smarandache notions. We structured this book using numbered Definitions, Theorems, Conjectures, Notes and Comments, in order to facilitate an easier reading but also to facilitate references to a specific paragraph. We divided the Bibliography in two parts, Writings by Florentin Smarandache (indexed by the name of books and articles) and Writings on Smarandache notions (indexed by the name of authors). We treated, in this book, about 130 Smarandache type sequences, about 50 Smarandache type functions and many solved or open problems of number theory. We also have, at the end of this book, a proposal for a new Smarandache type notion, id est the concept of “a set of Smarandache-Coman divisors of order k of a composite positive integer n with m prime factors”, notion that seems to have promising applications, at a first glance at least in the study of absolute and relative Fermat pseudoprimes, Carmichael numbers and Poulet numbers. This encyclopedia is both for researchers that will have on hand a tool that will help them “navigate” in the universe of Smarandache type notions and for young math enthusiasts: many of them will be attached by this wonderful branch of mathematics, number theory, reading the works of Florentin Smarandache.
Wandering In The World Of Smarandache Numbers
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Author : A. A. K. Majumdar
language : en
Publisher: Infinite Study
Release Date : 2010
Wandering In The World Of Smarandache Numbers written by A. A. K. Majumdar and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
This book covers only a part of the wide and diverse field of the Smarandache Notions, andcontains some of the materials that I gathered as I wandered in the world of Smarandache. Mostof the materials are already published in different journals, but some materials are new andappear for the first time in this book. All the results are provided with proofs._ Chapter 1 gives eleven recursive type Smarandache sequences, namely, the SmarandacheOdd, Even, Prime Product, Square Product (of two types), Higher Power Product (of twotypes), Permutation, Circular, Reverse, Symmetric and Pierced Chain sequences_ Chapter 2 deals with the Smarandache Cyclic Arithmetic Determinant and BisymmetricArithmetic Determinant sequences, and series involving the terms of the Smarandachebisymmetric determinant natural and bisymmetric arithmetic determinant sequences_ Chapter 3 treats the Smarandache function S(n)_ Chapter 4 considers, in rather more detail, the pseudo Smarandache function Z(n)_ And the Smarandache S-related and Z-related triangles are the subject matter of Chapter 5.To make the book self-contained, some well-known results of the classical Number Theory aregiven in Chapter 0. In order to make the book up-to-date, the major results of other researchersare also included in the book.At the end of each chapter, several open problems are given.
Enciclopedia Matematic A Claselor De Numere Ntregi
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Author : Marius Coman
language : ro
Publisher: Infinite Study
Release Date : 2013-09-06
Enciclopedia Matematic A Claselor De Numere Ntregi written by Marius Coman and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-06 with Mathematics categories.
Numerele naturale au fascinat dintotdeauna omenirea, ce le-a considerat, pe bună dreptate, ca fiind mai mult decât mijloace de a studia cantităţile, le-a considerat entităţi având o personalitate proprie. Ne-am mai permis pe parcursul lucrării câteva libertăţi, ca de pildă să definim de-concatenarea ca fiind operaţia inversă concatenării (sintagma „tăiere a unui număr în două numere”, de exemplu, pe care am întâlnit-o într-un manual, ni s-a părut inadmisibilă pentru ţara care l-a dat lumii pe Florentin Smarandache, al cărui nume este considerat pe plan internaţional sinonim cu seriile de numere concatenate). Am încercat să fim cât mai corecţi cu un minimum de eleganţă (cât mai corect nu este un deziderat de dispreţuit pentru o lucrare de anvergură în domeniul teoriei numerelor). Am împărţit enciclopedia în două părţi, „Clase de numere” (se subînţelege, întregi), respectiv „Clase de prime şi pseudoprime”, prima cuprinzând principalele clase de numere cu care se operează actualmente în teoria numerelor (ramura matematicii ce studiază în principal numerele întregi), cea de-a doua câteva tipuri consacrate de prime (numere care au „sfidat” dintotdeauna matematicienii prin rezistenţa lor în a se lăsa înţelese şi ordonate) şi tipurile cunoscute de pseudoprime (o categorie aparte de numere, ce împart însă multe atribute cu numerele prime). Scopul lucrării de faţă nu este de a pregăti un elev sau un student pentru vreun examen (în acest sens este ştiut că cel mai sigur este să descifrezi modul profesorului de a privi lucurile pe care le predă, nu sensul ultim al acestora din urmă) ci este de a deschide orizontul teoriei numerelor cititorilor prin descrieri cât mai simple, cât mai clare şi (pe cât se poate) mai atrăgătoare.
The Prime Numbers And Their Distribution
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Author : Gerald Tenenbaum
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
The Prime Numbers And Their Distribution written by Gerald Tenenbaum and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
The goal of this book is to provide insights into the prime numbers and to describe how a sequence so tautly determined can incorporate such a striking amount of randomness.
Prime Numbers
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Author : Richard Crandall
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-07
Prime Numbers written by Richard Crandall and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-07 with Mathematics categories.
Bridges the gap between theoretical and computational aspects of prime numbers Exercise sections are a goldmine of interesting examples, pointers to the literature and potential research projects Authors are well-known and highly-regarded in the field
Elementary Number Theory With Applications
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Author : Thomas Koshy
language : en
Publisher: Elsevier
Release Date : 2007-05-08
Elementary Number Theory With Applications written by Thomas Koshy and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-08 with Mathematics categories.
This second edition updates the well-regarded 2001 publication with new short sections on topics like Catalan numbers and their relationship to Pascal's triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell identity. Koshy has added a new chapter on continued fractions. The unique features of the first edition like news of recent discoveries, biographical sketches of mathematicians, and applications--like the use of congruence in scheduling of a round-robin tournament--are being refreshed with current information. More challenging exercises are included both in the textbook and in the instructor's manual. Elementary Number Theory with Applications 2e is ideally suited for undergraduate students and is especially appropriate for prospective and in-service math teachers at the high school and middle school levels. * Loaded with pedagogical features including fully worked examples, graded exercises, chapter summaries, and computer exercises * Covers crucial applications of theory like computer security, ISBNs, ZIP codes, and UPC bar codes * Biographical sketches lay out the history of mathematics, emphasizing its roots in India and the Middle East
Elementary Number Theory In Nine Chapters
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Author : James J. Tattersall
language : en
Publisher: Cambridge University Press
Release Date : 1999-10-14
Elementary Number Theory In Nine Chapters written by James J. Tattersall and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-14 with Mathematics categories.
This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.
The Distribution Of Prime Numbers
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Author : Albert Edward Ingham
language : en
Publisher: Cambridge University Press
Release Date : 1990-09-28
The Distribution Of Prime Numbers written by Albert Edward Ingham and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-09-28 with Mathematics categories.
Originally published in 1934, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. Despite being long out of print, it remains unsurpassed as an introduction to the field.