Euler

 Euler
Euler (L. Euler ,1707.4.15-1783 .9.18) is a Swiss mathematician. Born in Basel, Switzerland (Basel), died in St. Petersburg (Petepbypt). Father, Paul. Euler is a priests, like math, so Euler's childhood influenced by this. But his father insisted him to study theology in order to pick him in future classes. Fortunately, Euler did not take his father arranged for him the way. father attended school at the University of Basel, and was a famous mathematician John. Bernoulli (Johann Bernoulli ,1667.8.6-1748 .1.1) and Jacob. Bernoulli (Jacob Bernoulli ,1654.12.27-1705 .8.16) sort of friendship. Because of this relationship, Euler made the acquaintance of John's two sons: Nicholas good at math (Nicolaus Bernoulli ,1695-1726) and Daniel (Daniel Bernoulli ,1700.2.9-1782 .3.17) brothers and two people, (both of whom later became a mathematician). They often talk to small Euler math story vivid and interesting mathematical knowledge. These are the Euler benefit .1720, by the John Paul lift, only 13 years old Euler became students of the University of Basel, and was carefully nurtured John Euler bright. When John found the knowledge of the classroom can not meet the desire for knowledge of Euler, it decided to separate him every Saturday afternoon, counseling, answer and teaching. John's efforts were not wasted, in his rigorous training, the Euler finally grow up. he was 17 years old, became the first ever Basel, a young master, and became assistant to John. In John Under the guidance of the Euler choice from the outset to solve practical problems by the way .1726 mathematical research, the 19-year-old Euler as the author of Euler's feathers are full, you can fly from.
Euler's growth is inseparable from this history with him. Of course, Euler's talent there is another important factor is his amazing memory !, he can recite a hundred before the first ten prime power, can recite the Roman poet Virgil (Virgil) epic Aeneil, able to recite all of the mathematical formula. until his later years, he can repeat the entire contents of a young man's notes . advanced math calculations done he carefully considered.
despite his talent is high, but without John's education, the result is hard to imagine. As John. Bernoulli with its wealth of experience and the development of mathematics deep understanding of the situation, give important pointers to Euler, Euler beginning to learn that, though difficult to learn but it is very necessary book, less take a lot of detours. This greatly influenced the history of Euler, After that Euler scientists still do not forget to become a major new education, which is mainly reflected directly in the preparation of textbooks and the mathematical training of talented workers, including later became a great mathematician Lagrange (JLLagrange, 1736.1.25 -1813.4.10).
Euler Although it is not my teacher, but his impact on teaching more than anyone else. He being the world's foremost scholars, professors, shouldering the burden of solving advanced topics, but it can ignore elementary calculus and advanced calculus textbooks Euler basically copied the book, or copy books that copying Euler. Euler and other mathematicians in this area, such as Gaussian (CFGauss ,1777.4.30-1855 .2.23) Newton (I. Newton ,1643.1.4-1727 .3.31) are all different, a small number of books on the First, Second, abstruse and difficult to understand, others find it difficult to read. And Euler not only easy to understand text , called a model in this regard. He never compressed words, always relish the thought of his rich and extensive written in vivid and dramatic interest. he German, Russian, English and published a large number of popular articles, but also prepared numerous primary and secondary textbooks. He wrote the textbook of elementary algebra and arithmetic to consider detailed, orderly narrative. He described many new ideas of ways to make these books both tight and easy to understand. Euler number is defined as the first to take on inverse square, and the first number is found on the infinite value. He proved that any non-zero real number R has infinitely many pairs. Euler to trigonometry as a system of science, he first used the ratio of to give the definition of trigonometric functions, which previously has been in his long line, as defined. Euler's definition of the Research Triangle trigonometry table just out of this circle. Euler made the whole trigonometry analytical study. In the past, each formula launched only from the figure, most of the narrative expression. Euler's never the first few analytically derived formula for all the trigonometric formulas, also received a number of new formulas. Euler with a, b , c indicated that the three sides of a triangle, with A, B, C denotes a side of the right angle, so that the narrative greatly simplified. Euler's famous formula by:
again link up trigonometric and exponential functions .
universal education and scientific research, the simplified Euler aware of signs and rules of both help students and help the development of mathematics, so the Euler created many new symbols. as with sin, cos and so that trigonometric functions, with e denotes the natural logarithm, with f (x) that function with s that sum, with the imaginary number i said so. Euler pi p, although not first, but it is the result of the European Advocacy was able to pull widespread. And, Euler also e, p, i united in a relationship where stunning. Eulerian time series in the study cited Ru Oula constant C, which is the second p, e, after another important number.
Euler not only the importance of education and talent. then only 19 years old Lagrange, France, and Euler has 48 years of age. Lagrange and Euler communication discussion weekly issues graduated from college in Switzerland did not find a suitable job in the spring of .1727 in Basel as he tried to Teaching and Research Office vacant positions, but without success. this time, St. Petersburg, Russia, ASTRI has just been established, scientists are being recruited across the country, widely to collecting talent. has been employed in the work of Daner Petersburg. Bernoulli Euler knew the talent, so he tried to employ Euler to Russia. In this case, Euler left their homeland. As Daniel recommendation, 1727, Euler was invited to St. Petersburg to do Daniel's assistant. In St. Petersburg Academy of Sciences, he successfully won the position, associate professor of higher mathematics .1731, then was appointed leader of Theoretical Physics and Department of Experimental Physics of the work of .1733, Euler was only 26 years old back to Switzerland, to succeed Daniel, a mathematics professor and leader of St. Petersburg Academy of Sciences, Department of Mathematics.