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"King of Mathematics", "Founder of Mathematical Civilization", "The Greatest Mathematician in the History of Mathematics......
These praises are not used to describe the current mathematicians, but to describe a legendary figure in the history of mathematics, Euler.
There are too many legendary figures in the history of mathematics, but Euler is the most legendary one, and he is called the "king of mathematics" for a certain reason, and Euler's great contribution to mathematics cannot be denied by anyone.
His great contribution is not only in the study of mathematics, but on the basis of mathematics, he created another method of mathematical research, and this method is to link the important numbers in mathematics, so that mathematics is more perfect, and also lay a solid foundation for the development of mathematics.
However, Euler's creation caused trouble to many people in later generations, and his creation is Euler's formula, which is known as the "first formula of the universe".
The proof of this formula is also extremely complex and difficult, and it is the most difficult formula in mathematics, which also makes Euler a "nightmare" for many people.
But why is this formula created by God, and what is its mystery?
Why is Euler's formula the most important formula in mathematics?
How did Euler use this formula to create a mathematical approach?
1. "The King of Mathematics".
This legend is none other than the great mathematician Euler, who was born in Basel, Switzerland, and was the child of an aristocracy.
As a child, Euler showed unusual talent and intelligence, was born into an aristocratic family, and put a lot of effort into his studies, and later students at the University of Basel can be said to be students from aristocratic families.
Euler was a student at this university, and his mathematical talent was also something that no one could ignore, and a professor at the University of Basel once saw Euler's talent and knew his potential.
So he said to him, "You're going to shine in the field of mathematics." ”
The professors at the University of Basel also saw Euler's extraordinary talent and were full of expectations for his future, and Euler did not fail to live up to the cultivation of the University of Basel, and he entered the University of Cerle at a young age.
Euler was only 13 years old when he entered the University of Basel, and he excelled in his studies at the university, earning a bachelor's degree at the age of 15 and a master's degree at the age of 16, which was also unprecedented.
At that time, Euler studied very hard at the University of Basel, he studied almost every day, and his learning speed was also very fast, he relied on his own ability, and quickly completed all the courses of the university, so the University of Basel also opened some advanced courses for Euler.
Euler's study at the university was also very easy, he completed all the courses in two years, and the professor at the University of Basel saw Euler's talent and was full of expectations for his future, so he gave Euler some advanced courses to study, and Euler also quickly completed these courses.
When Euler was 18 years old, he completed all the courses at the University of Basel and obtained a doctorate, but Euler was not well-known at that time, so he stayed at the university for two years, and then he went to the University of Paris for further study.
In his studies at the University of Paris, he also obtained the so-called "double degree" through his own efforts, which was very powerful for Euler at that time, and Euler was also very lonely at that time, but he did not give up the study of mathematics, but insisted on moving forward.
When he was 24 years old, while studying at the University of Paris, he published a thesis on the theory of elasticity, which was also very good, and Euler had already shown extraordinary talent at that time, and the content of this paper was considered very practical.
At the age of 26, Euler became a professor of physics in St. Petersburg, and three years later he became the dean of the St. Petersburg Institute of Mathematics, where he also quietly devoted himself to the study of mathematics.
Euler's contribution to mathematics is very great, he not only made outstanding contributions in the field of mathematics, but also created a mathematical research method, he connected some important numbers in mathematics, so that some theories of mathematics became more perfect.
It also laid a solid foundation for the development of mathematics, and the creation of this method is also a great contribution to the mathematical community.
But this creation caused a problem for many people in later generations, because his creation was Euler's formula.
2. "Math Nightmare".
Euler's creation not only caused problems to scholars in the mathematical community, but also brought a "mathematical nightmare" to many students, and why is Euler's formula a formula created by God?
What is the mystery of this formula?
Why is Euler's formula the most important formula in mathematics?
The origin of Euler's formula is that Euler derived this formula by connecting the important aspects of mathematics such as natural logarithm e and trigonometric functions in his research problem.
Euler's formula, also known as "i times of e is equal to cos x plus i multiplied by sin x", this formula was derived by Euler, and then in 1797, Euler published this result, which was also concerned by many people at that time, and they all considered Euler's formula to be a major achievement.
Euler's formula is to connect the natural logarithm e and trigonometric functions and other mathematical contents, so that these contents are more perfect, and also provide a new direction for the study of mathematics.
The "e" of Euler's formula is the base number of the natural logarithm, and it is also a very important constant, this number is an irrational number, very complex, and infinite non-cyclical, and it is very difficult for us to calculate to the nth power of "e" when we calculate.
In the era when there was no computer, it was very unrealistic to calculate a very high number of digits, even in the calculation of today's computers, it is very difficult to calculate a very high number of digits, but the value of "e" to the nth power is very simple, why is this so?
This is because the value of "e" to the nth power is related to the value of sin x and cos x in the trigonometric function, so it becomes very simple to calculate, which is also the wonder of Euler's formula.
The derivation of Euler's formula is also very complex and very interesting, Euler uses the Taylor series to expand the natural logarithm e and trigonometric functions and then connects the two to obtain Euler's formula.
Euler's formula is also a kind of mathematical beauty, which connects some important numbers in mathematics, which provides some ideas for the study of mathematics and has guiding significance for mathematical research at that time.
Euler's formula is called "God's created formula" because this formula is very complex and very commonly used, which links some commonly used formulas in mathematics, which provides convenience for the study of mathematics and provides some ideas for the study of mathematics.
Euler's formula also shows the logical thinking of mathematics, and the derivation of Euler's formula does not rely on mathematical formulas and theorems, but through logical thinking, and then links these formulas and theorems together, so as to obtain this formula.
Euler's formula is very important for the development of mathematics, which links some commonly used formulas in mathematics together, so as to obtain a new method, which also provides convenience for the study of mathematics.
The proof of Euler's formula is also very complicated, this formula was created by Euler, so it is very difficult to prove this formula, which makes Euler's formula the most difficult formula in mathematics.
3. "God's Formula of Creation."
Euler's formula is an abstract mathematical formula, the theoretical background of this formula is very complex, and it is not easy to understand, so this achievement is only in the theory of mathematics, and Euler's formula is very important for the development of mathematics, and Euler's formula contains a lot of content.
For example, the natural logarithm e contained in Euler's formula is a very important constant, mainly used in some important calculations in probability theory and calculus, and sin x and cos x in trigonometric functions, they are also very important contents, mainly in the application of elliptic equations, which are related in Euler's formula.
These contents in mathematics are very abstract, and it is not easy to understand, especially in the process of learning, it is inevitable to encounter some difficulties, and many students will also have psychological shadows because they cannot understand these abstract contents.
Euler's formula is also known as the "mathematical nightmare", which also has a certain truth, many students in the learning process, because they can't understand this formula, so they will also have an aversion to mathematics, but mathematics as an important subject, it has a very wide range of applications for life.
It is not easy to achieve certain results in the field of mathematics, and these scholars have also paid a lot of sweat and solved a lot of difficulties in the research process, so as to have today's results.
Therefore, in the process of learning, we should respect the subject of mathematics and cherish the subject of mathematics, but educators should also adopt some more effective teaching methods in the process of teaching, so that students can better understand and apply these concepts.
epilogue
Euler is a legendary figure in the history of mathematics, his life is also full of legends, his genius and dedication, but also inspires future generations to continue to explore and innovate, Euler's contribution to mathematics is very great, he also compares mathematics to his lover, he has made great contributions to the development of mathematics.
Because mathematics is an emotionless subject, it requires us to experience with our hearts and think with our brains, and he also reveals a strong sense of love, and this spirit of dedication and dedication is also what we need to learn and inherit.