There are many examples of mathematical beauty. For example, Euler, one of the most important mathematicians in history, is also the most prolific mathematician, who can write more than 800 pages of papers every year on average. We can often see formulas and theorems named after him. Perhaps the most widely known is Euler formula, the most beautiful formula in the world.

No matter what its specific meaning is, combining the basic elements of natural number, imaginary number, π, 0, 1 is amazing beauty. Euler formula extends the definition domain of exponential function to complex number domain, and establishes the relationship between trigonometric function and exponential function, which is called overpass in mathematics.

Introduction:

Mathematics is a universal means for human beings to strictly describe the abstract structure and mode of things, and can be applied to any problem in the real world. All mathematical objects are artificially defined in essence. In this sense, mathematics belongs to formal science, not natural science. Different mathematicians and philosophers have a series of views on the exact scope and definition of mathematics.