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Greetings in the Green Silver Blue day of Mercury ... the day of Maitreya ... the day of the Divine Mathematics and the Divine Logic ...
Like you probably know ... I enter in Math Faculty at the young age of 16 ... and I complete my studies in 1986 with good profit, then I move to Italy and once again ... this time without the honor to teach in University like for the first degree ... I complete the Physics "side" ...
But let us talk a little about Leon-hard (Leonard) Euler ... the Most popular Mathematician from Switzerland ... He die in Saint Petersburg Russia.
He is popular and release (without to say, "invent") ... the concept of function and his knowledge range from Math, to Curves ... Euler Angles to Number Theory ... etc.
Without confusion we can call him, Mr Analysis ...
The Number ... "e" = 2.71 is dedicated to him ... to not be confused with *γ* ≈ 0.5772, the Euler-Macheroni constant.
Interesting to follow the previous improvements ... about Solids ... we can say ... he discover ... V-E-F=**Euler characteristic** χ {\displaystyle \chi } ...
Hedron means "Face" ... so Tetrahedron has 4 faces ... Hexahedron ... 6 faces ... etc.
Moving to Euler Angles ... related to Quaternions ... used in Space Shuttle Navigation ... we can show ...
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Euler wrote so much information that today we do not know ... how much he wrote ...
His Opera Omnia ... is a intent actually parked at 29 volumes ...
My proposal ... like a Mathematician is to read him ... directly ...
Let me complete these words with an exercise like Good Mathematicians loves to do ... from the coming (some day book) ...
- In how many ways you can change 1 US$ ... with coins of cents, nickels, dimes, quarters and half-dollar. (See G. Polya-G. Szego Problems and Theorems in Analysis I)
- In how many ways you can change 1 Euro ... with coins of 1 cent, 2 cent, 5 cent, 10 cents, 20 cents and half-euro ...
You can answer the first question also using a BASIC program (see John G. Kemeny-Thomas Kurtz - Basic Programming) ... The answer for the dollar is 292.
You can also ask the Book ... "How to Solve" by Polya ... and again you will find the answer ... all this always if you want to use your Brian ... or the Left Side of your Brain.
Thanks,
Giovanni A. Orlando. |