Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599730065
Category : Mathematics
Languages : en
Pages : 141
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Book Description
Over 300 sequences and many unsolved problems and conjectures related to them are presented herein. The book contains definitions, unsolved problems, questions, theorems corollaries, formulae, conjectures, examples, mathematical criteria, etc. ( on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes/squares/cubes/factorials, almost primes, mobile periodicals, functions, tables, prime/square/factorial bases, generalized factorials, generalized palindromes, etc. ).
Author: Marius Coman
Publisher: Infinite Study
ISBN: 1599732521
Category :
Languages : en
Pages : 136
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Book Description
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.
Author: Richard Guy
Publisher: Springer Science & Business Media
ISBN: 1475717385
Category : Mathematics
Languages : en
Pages : 176
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Book Description
Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.
Author: Richard Guy
Publisher: Springer Science & Business Media
ISBN: 1489935851
Category : Mathematics
Languages : en
Pages : 303
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Book Description
Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.
Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730774
Category :
Languages : en
Pages : 127
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Book Description
Papers on the Smarandache additive sequence, an equation of the Smarandache function, the property of the Smarandache-Riemann zeta sequence, the continued fractions and Dirichlet L-functions, some pseudo Smarandache function related triangles, and similar topics. Contributors: F. Li, M. Turgut, S. Yilmaz, K. Wang, S. Yilmaz, M. Turgut, A. A. Majumdar, B. Chen, C. Shi, M. Fang, X. Li, and others.
Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730812
Category :
Languages : en
Pages : 130
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Book Description
Papers on an equation involving the Smarandache function and its positive integer solutions, the Smarandache kn-digital subsequence, the Smarandache 3n-digital sequence and the Zhang Wenpeng's conjecture, the quintic supported spline wavelets with numerical integration and similar topics. Contributors: A. A. Majumdar, B. Chen, C. Shi, S. Wang, L. Zhang, A. Saeid, M. Haveshki, T. Veluchamy, P.S.Sivakkumar, and others.
Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730200
Category :
Languages : en
Pages : 119
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Book Description
Papers on the Pseudo-Smarandache function, primes in the Smarandache deconstructive sequence, recursion formulae for Riemann zeta function and Dirichlet series, parastrophic invariance of Smarandache quasigroups, certain inequalities involving the Smarandache function, and other similar topics. Contributors: A. Majumdar, S. Gupta, S. Zhang, C. Chen, A. Muktibodh, J. Sandor, M. Karama, A. Vyawahare, H. Zhou, and many others.
Author: Octavian Cira
Publisher: Infinite Study
ISBN: 1599733722
Category : Arithmetic functions
Languages : en
Pages : 402
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Book Description
Over 300 sequences and many unsolved problems and conjectures related to them are presented herein. These notions, definitions, unsolved problems, questions, theorems corollaries, formulae, conjectures, examples, mathematical criteria, etc. on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes squares cubes factorials, almost primes, mobile periodicals, functions, tables, prime square factorial bases, generalized factorials, generalized palindromes, so on, have been extracted from the Archives of American Mathematics (University of Texas at Austin) and Arizona State University (Tempe): "The Florentin Smarandache papers" special collections, and Arhivele Statului (Filiala Vâlcea & Filiala Dolj, Romania). This book was born from the collaboration of the two authors, which started in 2013. The first common work was the volume "Solving Diophantine Equations", published in 2014. The contribution of the authors can be summarized as follows: Florentin Smarandache came with his extraordinary ability to propose new areas of study in number theory, and Octavian Cira - with his algorithmic thinking and knowledge of Mathcad.
Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599731886
Category :
Languages : en
Pages : 128
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Book Description
Papers on the hybrid mean value of the Smarandache kn digital, separation axioms in an ordered intuitionistic fuzzy bitopological space, iterations of strongly pseudocontractive maps in Banach spaces, certain differential subordination involving a multiplier transformation, modified multi-step Noor method for a finite family of strongly pseudo-contractive maps, and similar topics. Contributors: N. Subramanian, R. N. Devi, U. K. Misra, A. A. Mogbademu, S. Hussain, S. Panayappan, S. Chauhan, and others.
Author: Henry Ibstedt
Publisher: Infinite Study
ISBN: 193123373X
Category : Mathematics
Languages : en
Pages : 97
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Book Description
The author studies in ten chapters: the smallest integer that can be expressed as a sum of consecutive integers in a given number of ways, the alterating iterations of the Smarandache function and the Euler f-function, some large sequences, the Smarandache partial perfect additive sequence {having a very simple definition: a(1)=a(2)=1, a(2k+1)=a(k+1)-1, a(2k+2)=a(k+1)+1} which does not form loops and does not get a terminating value but an amusing oscillating behavior, the Smarandache general continued fractions (built with positive integer Smarandache sequences), the Smarandache k-k additive relationships and Smarandache 2-2 substractive relationships, some concatenation and deconcatenation problems (in particular a number of questions raised on the Smarandache deconstructive sequence are resolved).
