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Book Sequences of Numbers Involved in Unsolved Problems

Download or read book Sequences of Numbers Involved in Unsolved Problems written by Florentin Smarandache and published by Infinite Study. This book was released on 2006-01-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. ).

Book Unsolved Problems in Number Theory

Download or read book Unsolved Problems in Number Theory written by Richard Guy and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.

Book Unsolved Problems in Number Theory

Download or read book Unsolved Problems in Number Theory written by Richard Guy and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.

Book The Math Encyclopedia of Smarandache type Notions

Download or read book The Math Encyclopedia of Smarandache type Notions written by Marius Coman and published by Infinite Study. This book was released on with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Smarandache Unsolved problems and New Progress  in Chinese language

Download or read book Smarandache Unsolved problems and New Progress in Chinese language written by Editors: Liu Yanni, Li Ling, Liu Baoli and published by Infinite Study. This book was released on 2008 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: New improved results of the research in Chinese language on Smarandache¿s codification used in computer programming, smarandacheials, totient and congruence functions, sequences, irrational constants in number theory, multi-space and geometries.

Book THIRTY SIX UNSOLVED PROBLEMS IN NUMBER THEORY

Download or read book THIRTY SIX UNSOLVED PROBLEMS IN NUMBER THEORY written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partially or totally unsolved questions in number theory and geometry especially, such as coloration problems, elementary geometric conjectures, partitions, generalized periods of a number, length of a generalized period, arithmetic and geometric progressions are exposed.

Book Scientia Magna  Vol  5  No  2  2009

Download or read book Scientia Magna Vol 5 No 2 2009 written by Zhang Wenpeng and published by Infinite Study. This book was released on 2009 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles on smarandache notions in number theory.

Book Scientia Magna  Vol  4  No  3  2008

Download or read book Scientia Magna Vol 4 No 3 2008 written by Zhang Wenpeng and published by Infinite Study. This book was released on with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Scientia Magna  Vol  4  No  2  2008

Download or read book Scientia Magna Vol 4 No 2 2008 written by Zhang Wenpeng and published by Infinite Study. This book was released on with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on two problems related to the Smarandache function, the additive k-power complements, the generalization of sequence of numbers with alternate common differences, an equation related to the Smarandache function and its positive integer solutions, the pseudo Smarandache square-free function, and other similar topics. Contributors: W. Zhang, Y. Guo, W. Xiong, S. Yilmaz, M. Turgut, A. A. Majumdar, B. Ahmad, J. Zhang, P. Zhang, N. Dung, and many others.

Book Scientia Magna  Vol  4  No  1  2008

Download or read book Scientia Magna Vol 4 No 1 2008 written by Zhang Wenpeng and published by Infinite Study. This book was released on 2008 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Fourth International Conference on Number Theory and Smarandache Problems.

Book Unsolved Problems in Number Theory

Download or read book Unsolved Problems in Number Theory written by R.K. Guy and published by Springer. This book was released on 1981-11-30 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.

Book Proceedings of the Fifth International Conference on Number Theory and Smarandache Notions  Shangluo University  China  2009

Download or read book Proceedings of the Fifth International Conference on Number Theory and Smarandache Notions Shangluo University China 2009 written by Zhang Wenpeng and published by Infinite Study. This book was released on 2009 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Scientia Magna  Vol  5  No  3  2009

Download or read book Scientia Magna Vol 5 No 3 2009 written by Zhang Wenpeng and published by Infinite Study. This book was released on with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Smarandache magic square, Smarandache friendly numbers, some another remarks on the generalization of Bernoulli and Euler numbers, an integral identity involving the Hermite polynomials, vinegar identifiation by ultraviolet spectrum technology and pattern recognition method, pairwise semi compact and pairwise semi lindeloff spaces, and other topics. Contributors: C. Prabpayak, U. Leerawat, S. M. Khairnar, S. Balasubramanian, B. Amudhambigai, A. H. Majeed, A. D. Hamdi, H. Jolany, M. R. Darafsheh, and others.

Book Various Arithmetic Functions and their Applications

Download or read book Various Arithmetic Functions and their Applications written by Octavian Cira and published by Infinite Study. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Proceedings of the Sixth International Conference on Number Theory and Smarandache Notions

Download or read book Proceedings of the Sixth International Conference on Number Theory and Smarandache Notions written by Wenpeng Zhang and published by Infinite Study. This book was released on 2010 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Book is devoted to the proceedings of the Sixth International Conferenceon Number Theory and Smarandache Notions held in Tianshui during April 24-25,2010. The organizers were Prof. Zhang Wenpeng and Prof. Wangsheng He from Tianshui Normal University. The conference was supported by Tianshui Normal University and there were more than 100 participants.

Book Scientia Magna  Vol  5  No  1  2009

Download or read book Scientia Magna Vol 5 No 1 2009 written by Zhang Wenpeng and published by Infinite Study. This book was released on with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Smarandache least common multiple ratio, generalized galilean transformations and dual quaternions, the instantaneous screw axes of two parameter motions in Lorentzian space, a new additive function and the F. Smarandache function, cyclic dualizing elements in Girard quantales, and other topics. Contributors: R. Maragatham, C. Prabpayak, U. Leerawat, M. Karacan, L. Kula, T. Veluchamy, P. Sivakkumar, L. Torkzadeh, A. Saeid, and others.

Book Scientia Magna  Vol  6  No  4  2010

Download or read book Scientia Magna Vol 6 No 4 2010 written by Zhang Wenpeng and published by Infinite Study. This book was released on with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on kn-digital sequence and Smarandache function, generalized separation axioms, the bounds of the largest eigen value and the Laplacian energy of certain class of graphs, several identities involving the classical Catalan numbers, more about functional Alexandroff topological spaces, clopen sets in uniform topology on BE-algebras, and similar topics. Contributors: S. Balasubramanian, V. Lokesha, Ranjini P. S, D. Senthilkumar and K. Thirugnanasambandam, N. Murugesan, P. Suguna, M. Mohamadhasani, and others.