Please follow this blog
Search this blog
Thursday, July 21, 2005
Collatz Conjecture
I think i will look at it with a hopefully fresh view. I almost forgot the main results of the work of earlier this year. It was after this period that I started to document my work. The formulas are 'recovered'. Thank God. Who knows what is 'out there'? I suppose that's the fascinating part.
Galois

The math this boy created is fascinating until today. Because he was so young when he wrote his papers he used his own words and style of math, not at all like the papers written by the profesional mathematicians of his age. Because of this it took months to understand the essence of his work.
Sunday, July 17, 2005
Galois
What an interesting life for someone who died at 21...
"... So, why is Galois theory called Galois theory? The answer is that it is named after a French mathematician Evariste Galois (1811-1832) who did some very important work in this area. He had a very dramatic and difficult life, failing to get much of his work recognised due to his great difficulty in expressing himself clearly. For example, he wasn't admitted to the leading university in Paris, the Ecole Polytechnique, and had to make do with the Ecole Normale. He also met with difficulty because of his political sympathies, he was a republican. This led to him being expelled from the Ecole Normale when he wrote a letter to a newspaper criticising the director of the school. He joined a republican branch of the militia and was later imprisoned (twice) because of his membership. The second time whilst in prison he fell in love with the daughter of the prison physician, Stephanie-Felice du Motel and after being released died in a duel with Perscheux d'Herbinville. The reasons for the duel are not entirely clear, but it seems likely it had something to do with Stephanie. His death started republican riots and rallies which lasted for several days.
Although Galois is often credited with inventing group theory and Galois theory, it seems that an Italian mathematician Paolo Ruffini (1765-1822) may have come up with many of the ideas first. Unfortunately his ideas were not taken seriously by the rest of the mathematical community at the time. There are some links at the end of this document for anyone interested in finding out more about the history of group theory and Galois theory. ..."
"... So, why is Galois theory called Galois theory? The answer is that it is named after a French mathematician Evariste Galois (1811-1832) who did some very important work in this area. He had a very dramatic and difficult life, failing to get much of his work recognised due to his great difficulty in expressing himself clearly. For example, he wasn't admitted to the leading university in Paris, the Ecole Polytechnique, and had to make do with the Ecole Normale. He also met with difficulty because of his political sympathies, he was a republican. This led to him being expelled from the Ecole Normale when he wrote a letter to a newspaper criticising the director of the school. He joined a republican branch of the militia and was later imprisoned (twice) because of his membership. The second time whilst in prison he fell in love with the daughter of the prison physician, Stephanie-Felice du Motel and after being released died in a duel with Perscheux d'Herbinville. The reasons for the duel are not entirely clear, but it seems likely it had something to do with Stephanie. His death started republican riots and rallies which lasted for several days.
Although Galois is often credited with inventing group theory and Galois theory, it seems that an Italian mathematician Paolo Ruffini (1765-1822) may have come up with many of the ideas first. Unfortunately his ideas were not taken seriously by the rest of the mathematical community at the time. There are some links at the end of this document for anyone interested in finding out more about the history of group theory and Galois theory. ..."
Subscribe to:
Posts (Atom)
Popular Posts
-
Among lectures on Calculus I,II and III, ( Introduction to ) Linear Algebra and ( Introduction to ) Differential Equations from the UCCS ( ...
-
Problem: We want to calculate the sum of the elements of a list of numbers. Suppose this list is named l and has been assigned the value {1,...
-
Today I started to read the Ramanujan biography ( The e-book version, of course. ) The book looks promising. What was it like to communicate...
-
I found a set of video lectures on Abstract Algebra. MATH E-222 Abstract Algebra - http://www.extension.harvard.edu/openlearning/math222/ E...
-
Ramanujan's genius (r) was discovered by Hardy (l) At a very young age Ramanujan designed the following formula for a 3 by 3 magic sq...
Welcome to The Bridge
Mathematics: is it the fabric of MEST?
This is my voyage
My continuous mission
To uncover hidden structures
To create new theorems and proofs
To boldly go where no man has gone before

(Raumpatrouille – Die phantastischen Abenteuer des Raumschiffes Orion, colloquially aka Raumpatrouille Orion was the first German science fiction television series. Its seven episodes were broadcast by ARD beginning September 17, 1966. The series has since acquired cult status in Germany. Broadcast six years before Star Trek first aired in West Germany (in 1972), it became a huge success.)