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蝴蝶球拍参数及特点
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3秒自动关闭窗口Galois - 19th Century Mathematics - The Story of Mathematics
19TH CENTURY MATHEMATICS - GALOIS
蓈ariste Galois ()
蓈ariste Galois was radical republican and something of a romantic figure in French mathematical history. He died in a duel at the young age of 20, but the work he published shortly before his death made his name in mathematical circles, and would go on to allow proofs by later mathematicians of problems which had been impossible for many centuries. It also laid the groundwork for many later developments in mathematics, particularly the beginnings of the important fields of abstract algebra and group theory.
Despite his lacklustre performance at school (he twice failed entrance exams to the 蒫ole Polytechnique), the young Galois devoured the work of Legendre and Lagrange in his spare time. At the tender age of 17, he began making fundamental discoveries in the theory of polynomial equations (equations constructed from variables and constants, using only the operations of addition, subtraction, multiplication and non-negative whole-number exponents, such as x2 - 4x + 7 = 0). He effectively proved that there can be no general formula for solving quintic equations (polynomials including a term of x5), just as the young Norwegian Niels Henrik Abel had a few years earlier, although by a different method. But he was also able to prove the more general, and more powerful, idea that there is no general algebraic method for solving polynomial equations of any degree greater than four.
An example of Galois}