When was euler identity discovered

UniStuffz UniStuffz 7 7 silver badges 18 18 bronze badges. Show 2 more comments. Active Oldest Votes. I'm assuming that that from hsm. Could you clarify it by summarizing what you are arguing here? In your research did you find who was the first to write it in the "modern form". Or do you know where I can find the information. Maybe Gauss? But it is hard to check: so many pubblications Add a comment. Sign up or log in Sign up using Google. Sign up using Facebook.

Sign up using Email and Password. In fact, 0 can be regarded as the father of algebra. And I agree. Historically, algebra was imported in Europe from the Muslim empire. It was also a perfect language to pose new abstract problems, like that of solving equations. At first, yes. Not at all! Because they waited for the end of the year to compute your gain! Instead, you may want to argue that the investment rate should be computed every month.

But wait! You can do even better by computing investment rates every day. Or even, every hour. Or every second. Now, to think that all these guys, despite coming from diverse areas of mathematics, manage to merge together and form a breathtakingly neat equation… This really is mind-blowing!

But to get there, I need to get you familiar with two major mathematical objects: The complex plane and derivatives. Amazingly, while real numbers are points on a 1-dimensional line, imaginary and complex numbers perfectly correspond to points in a 2-dimensional plane. A complex number can also be regarded as a motion, or vector , from the origin to the point it represents.

This will be essential in a bit…. So, really, a function which maps real numbers to complex numbers is just a trajectory in the complex plane. So, for instance, in the figure above, at any point, the instantaneous velocity is a motion going diagonally up-right.

Amazingly, this can also be deduced from basic laws of derivation. So let me draw this:. And as a result…. How beautiful is that? I know! Much of his output came during the last two decades of his life, when he was totally blind.

There was so much work that the St. Petersburg Academy continued publishing his work posthumously for more than 30 years. Euler's important contributions include Euler's Formula and Euler's Theorem, both of which can mean different things depending on the context. According to the USNA, in mechanics, there are "Euler angles to specify the orientation of a rigid body , Euler's theorem that every rotation has an axis , Euler's equations for motion of fluids, and the Euler-Lagrange equation that comes from calculus of variations.

Complex numbers appear in a multitude of applications such as wave mechanics a study within quantum mechanics and design of circuits that use alternating current a common practice in electrical engineering.