I was unfair to the course coordinator. He managed to scan and upload the first chapter of MT365. Still, the book is a nice complement to the course. Graph Theory started with a paper of Euler about the bridges in Konigsberg. That fact is mentioned in practically all books on graph theory and discrete mathematics I have seen sofar but I hadn't seen the actual article written by Euler yet. Well, there is translation of that article added to the introductory chapter of MT365 as an appendix. The more I learn and hear about Euler his statue grows. I am beginning to understand why he is considered ( one of ) the greatest mathematicians of all time.
Fibonacci introduced his famous series 1,1,2,3,5,8,13,21,34, etc. in 1202, Binet published his formula around 1850 or so. A problem that was unsolved for more than six hundred years. Today, I learned that Binet's formula was known to Euler ( ... ) , de Moivre and Bernouilli over a hundred years earlier. I can prove Binet's formula using a technique in Linear Algebra called 'change of basis'. I wonder how Euler found the solution because that particular technique was not yet known when Euler still lived.
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Mathematics: is it the fabric of MEST?
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(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.)
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