Mathematics is defined as "the abstract science of number, quantity, and space, either as abstract concepts (pure mathematics), or as applied to other disciplines such as physics and engineering (applied mathematics)" in the oxford dictionary. (Mathematics | Definition of mathematics in English by Oxford Dictionaries. (n.d.). Mathematics is a fun thing that discovered by mathematicians (mathematics experts).
The mathematician Leonhard Euler was the best and most famous mathematician in the history of the 18th century. In 1707, Leonhard Euler was born in Basel, Switzerland. He was admitted to Basel University at the age of 13, graduated from university at the age of 15, and received a master's degree at the age of 16. At the age of 19, he
…show more content…
He dedicated his entire life to the study of mathematics. He wrote more than 800 publications, included 18 books. (The master of them all; mathematics, 2016). There are many formulas and theorems named after his name. Leonhard Euler was an outstanding mathematician, also a good teacher. He has trained another famous mathematician, Joseph-Louis Lagrange. They worked on the calculus of variations together. Under Leonhard Euler's unrestricted cultivation, Joseph-Louis Lagrange became a master of mathematics. (O'Connor & Robertson, …show more content…
It expands the domain of trigonometric functions to complex numbers, establishing the relationship between trigonometric functions and exponential functions, which occupies a very important position in the theory of complex variable functions. To solve this eix = cos x + i sin x, the first step is to identify the complex triangles is z = r (cos θ + i sin θ), for any complex number z, there is always a real number pairs (a,b), z = a + bi, let r = √(a2 + b2); z = r(a/r - b/r i) = r(cos θ + i sin θ). Secondly, look at the exponential representation of complex