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Author : Charles Ashbacher
Publisher :
ISBN 13 : 9780608104195
Total Pages : 77 pages
Book Rating : 4.1/5 (41 download)
Download or read book Collection of Problems on Smarandache Notions written by Charles Ashbacher and published by . This book was released on with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charles Ashbacher
Publisher :
ISBN 13 : 9781461929550
Total Pages : 75 pages
Book Rating : 4.9/5 (295 download)
Download or read book Collection of Problems on Smarandache Notions written by Charles Ashbacher and published by . This book was released on 2014-05-14 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt: Made available online by the Smarandache Notion Journal and the University of New Mexico - Gallup.
Author : Charles Ashbacher
Publisher : Infinite Study
ISBN 13 : 1879585502
Total Pages : 75 pages
Book Rating : 4.8/5 (795 download)
Download or read book Collection of Problems on Smarandache Notions written by Charles Ashbacher and published by Infinite Study. This book was released on 1996 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marius Coman
Publisher : Infinite Study
ISBN 13 : 1599732521
Total Pages : 136 pages
Book Rating : 4.5/5 (997 download)
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.
Author : Wenpeng Zhang
Publisher : Infinite Study
ISBN 13 : 1931233993
Total Pages : 157 pages
Book Rating : 4.9/5 (312 download)
Download or read book Research on Smarandache Problems in Number Theory (collected papers), Vol. II written by Wenpeng Zhang and published by Infinite Study. This book was released on 2005-12 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 34 papers, most of which were written by participants to the First Northwest Number Theory Conference held in Shangluo Teacher?s College, China, in March, 2005. In this Conference, several professors gave a talk on Smarandache Problems and many participants lectured on them both extensively and intensively. All these papers are original and have been refereed. The themes of these papers range from the mean value or hybrid mean value of Smarandache type functions, the mean value of some famous number theoretic functions acting on the Smarandache sequences, to the convergence property of some infinite series involving the Smarandache type sequences.
Author : Kenichiro Kashihara
Publisher : Infinite Study
ISBN 13 : 1879585553
Total Pages : 51 pages
Book Rating : 4.8/5 (795 download)
Download or read book Comments and Topics on Smarandache Notions and Problems written by Kenichiro Kashihara and published by Infinite Study. This book was released on 1996 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leonardo Motta
Publisher : Infinite Study
ISBN 13 : 1931233284
Total Pages : 368 pages
Book Rating : 4.9/5 (312 download)
Download or read book Smarandache Notions, Vol. 12 (Proceedings of the Second International Conference on Smarandache Type Notions in Mathematics and Quantum Physics) written by Leonardo Motta and published by Infinite Study. This book was released on 2001-01-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. Seleacu
Publisher : Infinite Study
ISBN 13 : 1879585685
Total Pages : 211 pages
Book Rating : 4.8/5 (795 download)
Download or read book Smarandache Notions, Vol. 10 written by V. Seleacu and published by Infinite Study. This book was released on 2000-08-01 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kenichiro Kashihara
Publisher :
ISBN 13 : 9780608104751
Total Pages : 52 pages
Book Rating : 4.1/5 (47 download)
Download or read book Comments and Topics on Smarandache Notions and Problems written by Kenichiro Kashihara and published by . This book was released on with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. Dumitrescu
Publisher : Infinite Study
ISBN 13 : 1879585715
Total Pages : 155 pages
Book Rating : 4.8/5 (795 download)
Download or read book Smarandache Notions, Vol. 7 written by C. Dumitrescu and published by Infinite Study. This book was released on 2000-08-01 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wenpeng Zhang
Publisher : Infinite Study
ISBN 13 : 1931233888
Total Pages : 178 pages
Book Rating : 4.9/5 (312 download)
Download or read book Research on Smarandache Problems in Number Theory (collected papers), Vol. I written by Wenpeng Zhang and published by Infinite Study. This book was released on 2005-01-01 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory is an ancient subject, but we still cannot answer many simplest and most natural questions about the integers. Some old problems have been solved, but more arise. All the research for these ancient or new problems implicated and are still promoting the development of number theory and mathematics.American-Romanian number theorist Florentin Smarandache introduced hundreds of interest sequences and arithmetical functions, and presented many problems and conjectures in his life. In 1991, he published a book named Only problems, Not solutions!. He presented 105 unsolved arithmetical problems and conjectures about these functions and sequences in it. Already many researchers studied these sequences and functions from his book, and obtained important results.This book, Research on Smarandache Problems in Number Theory (Collected papers), contains 41 research papers involving the Smarandache sequences, functions, or problems and conjectures on them.All these papers are original. Some of them treat the mean value or hybrid mean value of Smarandache type functions, like the famous Smarandache function, Smarandache ceil function, or Smarandache primitive function. Others treat the mean value of some famous number theoretic functions acting on the Smarandache sequences, like k-th root sequence, k-th complement sequence, or factorial part sequence, etc. There are papers that study the convergent property of some infinite series involving the Smarandache type sequences. Some of these sequences have been first investigated too. In addition, new sequences as additive complement sequences are first studied in several papers of this book.Most authors of these papers are my students. After this chance, I hope they will be more interested in the mysterious integer and number theory!More future papers by my students will focus on the Smarandache notions, such as sequences, functions, constants, numbers, continued fractions, infinite products, series, etc. in number theory!List of the Contributors:Zhang Wenpeng, Xu Zhefeng, Zhang Xiaobeng, Zhu Minhui, Gao Nan, Guo Jinbao, He Yanfeng, Yang Mingshun, Li Chao, Gao Jing, Yi Yuan, Wang Xiaoying, Lv Chuan, Yao Weili, Gou Su, He Xiaolin, Li Hailong, Liu Duansen, Li Junzhuang, Liu Huaning, Zhang Tianping, Ding Liping, Li Jie, Lou Yuanbing, Zhao Xiqing, Zhao Xiaopeng, Yang Cundian, Liang Fangchi
Author :
Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)
Download or read book Smarandache Notions written by and published by . This book was released on 2002 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yuchan Qi
Publisher : Infinite Study
ISBN 13 :
Total Pages : 9 pages
Book Rating : 4./5 ( download)
Download or read book A survey on Smarandache notions in number theory VII: Smarandache multiplicative function written by Yuchan Qi and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we give a survey on recent results on Smarandache multiplicative function.
Author : C. Dumitrescu
Publisher : Infinite Study
ISBN 13 : 1879585693
Total Pages : 158 pages
Book Rating : 4.8/5 (795 download)
Download or read book Smarandache Notions, Vol. 9 written by C. Dumitrescu and published by Infinite Study. This book was released on 2000-08-01 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1931233799
Total Pages : 418 pages
Book Rating : 4.9/5 (312 download)
Download or read book Smarandache Notions, Vol. 14 written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2004-01-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers concerning any of the Smarandache type functions, sequences, numbers, algorithms, inferior/superior f-parts, magic squares, palindromes, functional iterations, semantic paradoxes, Non-Euclidean geometries, manifolds, conjectures, open problems, algebraic structures, neutrosophy, neutrosophic logic/set/probability, hypothesis that there is no speed barrier in the universe, quantum paradoxes, etc. have been selected for this volume. Contributors are from Australia, China, England, Germany, India, Ireland, Israel, Italy, Japan, Malaysia, Morocco, Portugal, Romania, Spain, USA. Most of the papers are in English, a few of them are in Spanish, Portuguese, or German.
Author : Felice Russo
Publisher : Infinite Study
ISBN 13 : 1879585839
Total Pages : 108 pages
Book Rating : 4.8/5 (795 download)
Download or read book A Set of New Smarandache Functions, Sequences, and Conjectures written by Felice Russo and published by Infinite Study. This book was released on 2000 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Amarnath Murthy
Publisher : Infinite Study
ISBN 13 : 1931233349
Total Pages : 219 pages
Book Rating : 4.9/5 (312 download)
Download or read book Generalized Partitions and New Ideas on Number Theory and Smarandache Sequences written by Amarnath Murthy and published by Infinite Study. This book was released on 2005-01-01 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Florentin Smarandache is an incredible source of ideas, only some of which are mathematical in nature. Amarnath Murthy has published a large number of papers in the broad area of Smarandache Notions, which are math problems whose origin can be traced to Smarandache. This book is an edited version of many of those papers, most of which appeared in Smarandache Notions Journal, and more information about SNJ is available at http://www.gallup.unm.edu/~smarandache/ . The topics covered are very broad, although there are two main themes under which most of the material can be classified. A Smarandache Partition Function is an operation where a set or number is split into pieces and together they make up the original object. For example, a Smarandache Repeatable Reciprocal partition of unity is a set of natural numbers where the sum of the reciprocals is one. The first chapter of the book deals with various types of partitions and their properties and partitions also appear in some of the later sections.The second main theme is a set of sequences defined using various properties. For example, the Smarandache n2n sequence is formed by concatenating a natural number and its double in that order. Once a sequence is defined, then some properties of the sequence are examined. A common exploration is to ask how many primes are in the sequence or a slight modification of the sequence. The final chapter is a collection of problems that did not seem to be a precise fit in either of the previous two categories. For example, for any number d, is it possible to find a perfect square that has digit sum d? While many results are proven, a large number of problems are left open, leaving a great deal of room for further exploration.
