Complex Analysis
Euler made important contributions to complex analysis. He discovered the scientific notation. He discovered what is now known as Euler's formula, that for any real number, the complex exponential function satisfies
This has been called "The most remarkable formula in mathematics " by Richard Feynman. Euler's identity is a special case of this:
This identity is particularly remarkable as it involves e, i, 1, and 0, arguably the five most important constants in mathematics.
Read more about this topic: Contributions Of Leonhard Euler To Mathematics
Famous quotes containing the words complex and/or analysis:
“The money complex is the demonic, and the demonic is God’s ape; the money complex is therefore the heir to and substitute for the religious complex, an attempt to find God in things.”
—Norman O. Brown (b. 1913)
“Cubism had been an analysis of the object and an attempt to put it before us in its totality; both as analysis and as synthesis, it was a criticism of appearance. Surrealism transmuted the object, and suddenly a canvas became an apparition: a new figuration, a real transfiguration.”
—Octavio Paz (b. 1914)