Definitions Solved And Unsolved Problems Conjectures And Theorems In Number Theory And Geometry

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Definitions, Solved and Unsolved Problems, Conjectures, and Theorems in Number Theory and Geometry

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 187958574X
Total Pages : 84 pages
Book Rating : 4.8/5 (795 download)

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Book Synopsis Definitions, Solved and Unsolved Problems, Conjectures, and Theorems in Number Theory and Geometry by : Florentin Smarandache

Download or read book Definitions, Solved and Unsolved Problems, Conjectures, and Theorems in Number Theory and Geometry written by Florentin Smarandache and published by Infinite Study. This book was released on 1999-12-01 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solved and Unsolved Problems in Number Theory

Author : Daniel Shanks
Publisher : American Mathematical Society
ISBN 13 : 1470476452
Total Pages : 321 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Solved and Unsolved Problems in Number Theory by : Daniel Shanks

Download or read book Solved and Unsolved Problems in Number Theory written by Daniel Shanks and published by American Mathematical Society. This book was released on 2024-01-24 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: The investigation of three problems, perfect numbers, periodic decimals, and Pythagorean numbers, has given rise to much of elementary number theory. In this book, Daniel Shanks, past editor of Mathematics of Computation, shows how each result leads to further results and conjectures. The outcome is a most exciting and unusual treatment. This edition contains a new chapter presenting research done between 1962 and 1978, emphasizing results that were achieved with the help of computers.

The Math Encyclopedia of Smarandache type Notions

Author : Marius Coman
Publisher : Infinite Study
ISBN 13 : 1599732521
Total Pages : 136 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis The Math Encyclopedia of Smarandache type Notions by : Marius Coman

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.

Unsolved Problems in Number Theory

Author : Richard Guy
Publisher : Springer Science & Business Media
ISBN 13 : 1475717385
Total Pages : 176 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Unsolved Problems in Number Theory by : Richard Guy

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.

Old and New Unsolved Problems in Plane Geometry and Number Theory

Author : Victor Klee
Publisher : American Mathematical Soc.
ISBN 13 : 1470454610
Total Pages : 333 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Old and New Unsolved Problems in Plane Geometry and Number Theory by : Victor Klee

Download or read book Old and New Unsolved Problems in Plane Geometry and Number Theory written by Victor Klee and published by American Mathematical Soc.. This book was released on 2020-07-31 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical and mathematical context, and the discussion is at the level of undergraduate mathematics. Each problem section is presented in two parts. The first gives an elementary overview discussing the history and both the solved and unsolved variants of the problem. The second part contains more details, including a few proofs of related results, a wider and deeper survey of what is known about the problem and its relatives, and a large collection of references. Both parts contain exercises, with solutions. The book is aimed at both teachers and students of mathematics who want to know more about famous unsolved problems.

THIRTY-SIX UNSOLVED PROBLEMS IN NUMBER THEORY

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4./5 ( download)

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Book Synopsis THIRTY-SIX UNSOLVED PROBLEMS IN NUMBER THEORY by : Florentin Smarandache

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.

Smarandache Unsolved problems and New Progress (in Chinese language)

Author : Editors: Liu Yanni, Li Ling, Liu Baoli
Publisher : Infinite Study
ISBN 13 : 1599730634
Total Pages : 148 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Smarandache Unsolved problems and New Progress (in Chinese language) by : Editors: Liu Yanni, Li Ling, Liu Baoli

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.

Geometric Theorems and Arithmetic Functions

Author : József Sándor
Publisher : Infinite Study
ISBN 13 : 1931233470
Total Pages : 55 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Geometric Theorems and Arithmetic Functions by : József Sándor

Download or read book Geometric Theorems and Arithmetic Functions written by József Sándor and published by Infinite Study. This book was released on 2002 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unfolding the Labyrinth: Open Problems in Physics, Mathematics, Astrophysics, and other areas of science

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599730138
Total Pages : 140 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Unfolding the Labyrinth: Open Problems in Physics, Mathematics, Astrophysics, and other areas of science by : Florentin Smarandache

Download or read book Unfolding the Labyrinth: Open Problems in Physics, Mathematics, Astrophysics, and other areas of science written by Florentin Smarandache and published by Infinite Study. This book was released on 2006-01-01 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Throughout this book, we discuss some open problems in various branches of science, including mathematics, theoretical physics, astrophysics, geophysics etc. It is of our hope that some of the problems discussed in this book will find their place either in theoretical exploration or further experiments, while some parts of these problems may be found useful for scholarly stimulation.The present book is also intended for young physics and mathematics fellows who will perhaps find the unsolved problems described here are at least worth pondering. If this book provides only a few highlights of plausible solutions, it is merely to keep the fun of readers in discovering the answers by themselves. Bon voyage!

Generalized Partitions and New Ideas on Number Theory and Smarandache Sequences

Author : Amarnath Murthy
Publisher : Infinite Study
ISBN 13 : 1931233349
Total Pages : 219 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Generalized Partitions and New Ideas on Number Theory and Smarandache Sequences by : Amarnath Murthy

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.

Geometric Theorems, Diophantine Equations, and Arithmetic Functions

Author : J. Sándor
Publisher : Infinite Study
ISBN 13 : 1931233519
Total Pages : 302 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Geometric Theorems, Diophantine Equations, and Arithmetic Functions by : J. Sándor

Download or read book Geometric Theorems, Diophantine Equations, and Arithmetic Functions written by J. Sándor and published by Infinite Study. This book was released on 2002 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Smarandache Notions, Vol. 12 (Proceedings of the Second International Conference on Smarandache Type Notions in Mathematics and Quantum Physics)

Download Smarandache Notions, Vol. 12 (Proceedings of the Second International Conference on Smarandache Type Notions in Mathematics and Quantum Physics) PDF Online Free

Author : Leonardo Motta
Publisher : Infinite Study
ISBN 13 : 1931233284
Total Pages : 368 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Smarandache Notions, Vol. 12 (Proceedings of the Second International Conference on Smarandache Type Notions in Mathematics and Quantum Physics) by : Leonardo Motta

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:

Smarandache Function Journal, vol. 12/2001

Author : Charles Ashbacher
Publisher : Infinite Study
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4./5 ( download)

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Book Synopsis Smarandache Function Journal, vol. 12/2001 by : Charles Ashbacher

Download or read book Smarandache Function Journal, vol. 12/2001 written by Charles Ashbacher and published by Infinite Study. This book was released on with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.

Neutrosophic Physics: More Problems, More Solutions (Collected Papers)

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 9526734904
Total Pages : 96 pages
Book Rating : 4.5/5 (267 download)

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Book Synopsis Neutrosophic Physics: More Problems, More Solutions (Collected Papers) by : Florentin Smarandache

Download or read book Neutrosophic Physics: More Problems, More Solutions (Collected Papers) written by Florentin Smarandache and published by Infinite Study. This book was released on 2010 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this concern, neutrosophic logics and neutrosophy in general, established by Prof. Smarandache, is one of the promising research instruments, which could be successfully applied by a theoretical physicist. Naturally, neutrosophic logics, being a part of modern logics, states that neutralities may be between any physical states, or states of space-time. In particular, this leads, sometimes, to paradoxist situations, when two opposite states are known in physics, while the neutral state between them seems absolutely impossible from a physical viewpoint! Meanwhile, when considering the theoretically possible neutralities in detail, we see that these neutral states indicate new phenomena which were just discovered by the experimentalists in the last decade, or shows a new field for further experimental studies, as for example unmatter which is a state between matter and antimatter. Research papers presented in this collection manifest only a few of many possible applications of neutrosophic logics to theoretical physics. [D. Rabounski] The ⿿multi-space⿿ with its multi-structure is a Theory of Everything. It can be used, for example, in the Unified Field Theory that tries to unite the gravitational, electromagnetic, weak, and strong interactions (in physics). [F. Smarandache]

Multi-Valued Logic, Neutrosophy, and Schrodinger Equation

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1931233047
Total Pages : 109 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Multi-Valued Logic, Neutrosophy, and Schrodinger Equation by : Florentin Smarandache

Download or read book Multi-Valued Logic, Neutrosophy, and Schrodinger Equation written by Florentin Smarandache and published by Infinite Study. This book was released on 2005-12 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was intended to discuss some paradoxes in Quantum Mechanics from the viewpoint of Multi-Valued-logic pioneered by Lukasiewicz, and a recent concept Neutrosophic Logic. Essentially, this new concept offers new insights on the idea of ?identity?, which too often it has been accepted as given.Neutrosophy itself was developed in attempt to generalize Fuzzy-Logic introduced by L. Zadeh. While some aspects of theoretical foundations of logic are discussed, this book is not intended solely for pure mathematicians, but instead for physicists in the hope that some of ideas presented herein will be found useful. The book is motivated by observation that despite almost eight decades, there is indication that some of those paradoxes known in Quantum Physics are not yet solved. In our knowledge, this is because the solution of those paradoxes requires re-examination of the foundations of logic itself, in particular on the notion of identity and multi-valuedness of entity. The book is also intended for young physicist fellows who think that somewhere there should be a ?complete? explanation of these paradoxes in Quantum Mechanics. If this book doesn?t answer all of their questions, it is our hope that at least it offers a new alternative viewpoint for these old questions.

Progress in Physics, vol. 1/2005

Author : Dmitri Rabounski
Publisher : Infinite Study
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4./5 ( download)

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Book Synopsis Progress in Physics, vol. 1/2005 by : Dmitri Rabounski

Download or read book Progress in Physics, vol. 1/2005 written by Dmitri Rabounski and published by Infinite Study. This book was released on with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in Physics has been created for publications on advanced studies in theoretical and experimental physics, including related themes from mathematics.

Nidus Idearum. Scilogs, VIII: painting by numbers

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 87 pages
Book Rating : 4./5 ( download)

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Book Synopsis Nidus Idearum. Scilogs, VIII: painting by numbers by : Florentin Smarandache

Download or read book Nidus Idearum. Scilogs, VIII: painting by numbers written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-04-01 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this eighth book of scilogs collected from my nest of ideas, one may find new and old questions and solutions, – in email messages to research colleagues, or replies, and personal notes handwritten on the planes to, and from international conferences, about all kind of topics, centered mostly on Paradoxism and Neutrosophy. Exchanging ideas with: Robert Neil Boyd, Joseph Brenner, Ahmed Cevik, Victor Christianto, Adrian Curaj, Jean Dezert, Andrei-Lucian Drăgoi, Ervin Goldfain, Young Bae Jun, Yale Landsberg, Radu Munteanu, Paul Piștea, Viorel Roman, Ridvan Sahin, Said Broumi, Selcuk Topal, Eric W. Weisstein, Xiaohing Zhang.