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Number theory

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Articles 91 - 99 of 99

Full-Text Articles in Mathematics

Nsu Innovative Teaching In Math 2002, Nova Southeastern University Apr 2002

Nsu Innovative Teaching In Math 2002, Nova Southeastern University

Abraham S. Fischler College of Education and School of Criminal Justice College Archive

No abstract provided.

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Egyptian Fractions, Jodi Ann Hanley Jan 2002

Egyptian Fractions, Jodi Ann Hanley

Theses Digitization Project

Egyptian fractions are what we know as unit fractions that are of the form 1/n - with the exception, by the Egyptians, of 2/3. Egyptian fractions have actually played an important part in mathematics history with its primary roots in number theory. This paper will trace the history of Egyptian fractions by starting at the time of the Egyptians, working our way to Fibonacci, a geologist named Farey, continued fractions, Diophantine equations, and unsolved problems in number theory.

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The Proof Of Fermat's Last Theorem, Mohamad Trad Jan 2000

The Proof Of Fermat's Last Theorem, Mohamad Trad

Theses Digitization Project

Fermat, Pierre de, is perhaps the most famous number theorist who ever lived. Fermat's Last Theorem states that the equation xn + yn = zn has no non-zero integer solutions for x, y and z when n>2.

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Definitions, Solved And Unsolved Problems, Conjectures, And Theorems In Number Theory And Geometry, Florentin Smarandache Jan 2000

Definitions, Solved And Unsolved Problems, Conjectures, And Theorems In Number Theory And Geometry, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Florentin Smarandache, an American mathematician of Romanian descent has generated a vast variety of mathematical problems. Some problems are easy, others medium, but many are interesting or unsolved and this is the reason why the present book appears. Here, of course, there are problems from various types. Solving these problems is addictive like eating pumpkin seed: having once started, one cannot help doing it over and over again.

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Asupra Unor Noi Functii În Teoria Numerelor, Florentin Smarandache Jan 1999

Asupra Unor Noi Functii În Teoria Numerelor, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Performantele matematicii actuale,ca si descoperirile din viitor isi au,desigur, inceputul in cea mai veche si mai aproape de filozofie ramura a matematicii, in teoria numerelor. Matematicienii din toate timpurile au fost, sunt si vor fi atrasi de frumusetea si varietatea problemelor specifice acestei ramuri a matematicii. Regina a matematicii, care la randul ei este regina a stiintelor, dupa cum spunea Gauss, teoria numerelor straluceste cu lumina si atractiile ei, fascinandu-ne si usurandu-ne drumul cunoasterii legitatilor ce guverneaza macrocosmosul si microcosmosul. De la etapa antichitatii, cand teoria numerelor era cuprinsa in aritmetica, la etapa aritmeticii superioare din perioada Renasterii, cand teoria …

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Some Conjectures Concerning Triangular Numbers, Bruce Brandt Jan 1994

Some Conjectures Concerning Triangular Numbers, Bruce Brandt

Journal of the Minnesota Academy of Science

Strong empirical evidence supports conjectures that certain number patterns always hold. These patterns concern the function cr, defined by the equation cr(n) = n - m2, m2 being the nearest square to n, on the domain of the triangular numbers. Triangular squares or triangular numbers of the form m2+m are also mentioned in most of the conjectures. One of the conjectures, for example, is that the sum of cr over the triangular numbers up to a triangular square is 0. Some of these patterns can be described by strings of symbols, such as "S" and "L," formed by first writing …

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Supplement To "Some Conjectures Concerning Triangular Numbers", Bruce Brandt Jan 1994

Supplement To "Some Conjectures Concerning Triangular Numbers", Bruce Brandt

Journal of the Minnesota Academy of Science

In a previous paper (1), I stated many conjectures about triangular numbers. Since submitting that paper I have discovered many more results, including generalizations, which are presented here.

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Irrational Numbers And Reality, Arnold H. Veldkamp Dec 1975

Irrational Numbers And Reality, Arnold H. Veldkamp

Pro Rege

No abstract provided.

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What Is Number?, Willis J. Alberda Mar 1975

What Is Number?, Willis J. Alberda

Pro Rege

No abstract provided.

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