By: by Florentin Smarandache; Ion Goian
This paper contains exercises and problems of algebra and grouped chapters, the upper classes of secondary schools and coli culture media general. Its purpose is to prepare students from high schools mathematics categories and will be helpful in working independently. Also work can be used for extra school work because the reader will find in it important formulas, theorems, concepts, and basic definitions which are not always included in school textbooks. Prezenta lucrare conţine exerciţii §i probleme de algebră, grupate pe capitole, pentru clasele superioare de licee §i §coli medii de cultură generală. Scopul ei este pregătirea matematică a elevilor din liceele de toate categoriile §i va fi utilă în lucrul de sine stătător. De asemenea, lucrarea poate fi folosită pentru lucrul extra§colar, deoarece cititorul va găsi în ea teoreme §i formule importante, noţiuni §i definiţii de bază care nu întotdeauna sunt incluse în manualele §colare.
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By: by Florentin Smarandache
The methodology of how mathematics is untaught.
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By: by Florentin Smarandache
Etimologic, aforism + flori = af(L)orism, deci un “aflorism” este o mică reflecție scrisă pe un dizain floral, ori un poem scurt pe un fond artistic. Cost piperat
Sau ţi-o pune aşa un preţ ..să pici în coadă!
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By: by Florentin Smarandache
In the first chapter of this book we discuss Einstein’s thought experiment with atomic clocks. Preface
(Many Relativities )
In the first chapter of this book we discuss Einstein’s thought experiment with atomic clocks: A rocket travels at a constant speed v with respect to the earth. In the rocket, a light pulse is emitted by a source from A to a mirror B that reflects it back to A where it is detected. The rocket’s movement and the light pulse’s movement are orthogonal. There is an observer in the rocket (the astronaut) and an observer on the earth. The traject...
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By: by W. B. Vasantha Kandasamy
In this book, we study the subject of Smarandache Fuzzy Algebra. Originally, the revolutionary theory of Smarandache notions was born as a paradoxist movement that challenged the status quo of existing mathematics. The genesis of Smarandache Notions, a field founded by Florentine Smarandache, is alike to that of Fuzzy Theory: both the fields imperatively questioned the dogmas of classical mathematics.
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By: by W. B. Vasantha Kandasamy
The study of bialgebraic structures started very recently. Till date there are no books solely dealing with bistructures. The study of bigroups was carried out in 1994-1996. Further research on bigroups and fuzzy bigroups was published in 1998. In the year 1999, bivector spaces was introduced. In 2001, concept of free De Morgan bisemigroups and bisemilattices was studied. It is said by Zoltan Esik that these bialgebraic structures like bigroupoids, bisemigroups, binear r...
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By: by W. B. Vasantha Kandasamy
An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic structures say a commutative ring with 1 (or a field) together with a loop or a groupoid or a vector space or a linear algebra. The two non-associative well-known algebras viz. Lie algebras and Jordan algebras are mainly ...
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By: by W. B. Vasantha Kandasamy
Near-rings are one of the generalized structures of rings. The study and research on near-rings is very systematic and continuous. Near-ring newsletters containing complete and updated bibliography on the subject are published periodically by a team of mathematicians (Editors: Yuen Fong, Alan Oswald, Gunter Pilz and K. C. Smith) with financial assistance from the National Cheng Kung University, Taiwan. These newsletters give an overall picture of the research carried out...
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By: by W. B. Vasantha Kandasamy
Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and study several important and innovative properties about S-rings. Writing this book essentially involved a good deal of reference work. As a researcher, I felt that it will be a great deal better if we thrust importance on ...
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By: by W. B. Vasantha Kandasamy
The theory of loops (groups without associativity), though researched by several mathematicians has not found a sound expression, for books, be it research level or otherwise, solely dealing with the properties of loops are absent. This is in marked contrast with group theory where books are abundantly available for all levels: as graduate texts and as advanced research books.
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By: by W. B. Vasantha Kandasamy
Smarandache notions, which can be undoubtedly characterized as interesting mathematics, has the capacity of being utilized to analyse, study and introduce, naturally, the concepts of several structures by means of extension or identification as a substructure. Several researchers around the world working on Smarandache notions have systematically carried out this study. This is the first book on the Smarandache algebraic structures that have two binary operations. Semiri...
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By: by W. B. Vasantha Kandasamy
The study of Smarandache Algebraic Structure was initiated in the year 1998 by Raul Padilla following a paper written by Florentin Smarandache called “Special Algebraic Structures”. In his research, Padilla treated the Smarandache algebraic structures mainly with associative binary operation. Since then the subject has been pursued by a growing number of researchers and now it would be better if one gets a coherent account of the basic and main results in these algebraic...
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By: by Florentin Smarandache
PARADOXISM is an avant-garde movement in literature, art, philosophy, science, based on excessive used of antitheses, parables, odds, paradoxes in creations. It was set up and led by the writer Florentin Smarandache since 1980’s who said: “The goal is to enlargement of theartisti shere through non-artistic elements. But expecially the countertime, counter-sense creation. Also, to experiment.”
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By: by Florentin Smarandache
Inceput prin volumul de "haiku" -uri Oopotul tAceril, procesul de clasicizare a paradoxismului se continua prin prezentul volum P1in tunele de cuvinte, care conpne "poeme intr-un vers w ~i care se vrea 0 replica la mai vechiul cidu, atAt de ostentativ afi~t: "Poeme fara nici un vers w Asistam la 0 dialedica a negatiei ~i la 0 polemica interioara Tn cadrul operei smarandachene. Poetul se dezice de el Tnsu~i, de 0 ipostaza a sa Iirica anterioara. TItlul volumului ne atrage...
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By: by Florentin Smarandache
În mai 1997 treceam prima data Nistrul, mergând în vizita la Odesa. Eram curios Õi atent la vorbirea basarabenilor, în trenul care ma purta de la ChiÕinau, iar în jurnal îmi notam expresii tipice, din partea locului. Lilia îmi traducea din rusa - când era cazul. Mai târziu, în vara anului 2000, aveam sa cunosc Tighina Õi câteva localitaÛi din jurul Corotnei. Domnul Pavel m-a plimbat cu maÕina prin Nezavertailovka, Krasnoe, oraÕelul Dnestrovsk, Õi centrul raional Slobozia...
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By: by Florentin Smarandache
In 1980's a new movement of avant-garde arised in literature, art philosophy and science. This is based on an excessive use of antinomies. antitheses. contradictions, oxymorons, paradoxes in the creative work at both small level and global level of the creative work. The goal is the enlargement of the artistic sphere through non-artistic elements. But especially the against-the-hair, counter-time. counter-sense creation. Also, to experiment.
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By: by Jack Allen
Papers concerning any of the Smarandache type functions, sequences, integer algorithms, paradoxes, Non-Euclidean geometries, conjectures, open problems, neutrosophic logic/set/probability, etc. have been selected for this volume. The
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By: by C. Dumitresru
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, ...
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By: by Leonardo Motta and Gheorghe Niculescu
In these proceedings of the second international conference on smarandache type notions in mathematics and quantum physics (december 21-24, 2000, university ofcraiova, romania; organizers: v. Seleacu and m. L perez) are collected articles and notes: in mathematics: related to smarandache anti-geometry, function, f-inferior part function, k-k additive relationships, 2-2 subtractive relationships, sequences, coprime functions, double factorial function, magic squares, prob...
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By: by C. Dumitresru
A collection ot papers concerninq Smarandache type functions, numbers, sequences, inteqer alqoritbms, paradoxes, experimental qeometries, alqebraic structures, neutrosophic probability, set, and loqic, etc. is published this year.
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