What is Leonhard Euler achievements?

Answer 1

If one is not a mathematician (and except for a few of you out there, who is?), it's going to be impossible to actually understand why Euler was such a great man. Other people will have to tell us, and we should probably believe them.

In 1988, the journal Mathematical Intelligencer asked its readers to list the most beautiful equations in mathematics. Of the top five, Euler, who was born in Basel, Switzerland, 300 years ago next Sunday, discovered three of them, including No. 1:

ei(pi) + 1 = 0.

(The other two were from Euclid, who worked in the 4th and 3rd centuries B.C.)

In 2004, Physics World put the same question to its readers. Of the top 20 equations, Euler had two. The one listed above, known as "Euler's equation," was second only to James Clerk Maxwell's equations describing electromagnetism, which were counted as one entry.

Some have called Euler the "Mozart of Mathematics," not only because of his genius but because of his prodigious output.

Before his death at 76, he had written more than 800 papers and books on pure and applied mathematics. In 1775, he composed about one paper a week, ranging in length from 10 to 50 pages. (Twenty papers is considered a good lifetime output for modern mathematicians.) His collected works fill 25,000 pages in 79 volumes, including five of correspondence to the leading thinkers of his day.