Russian mathematician Lev Pontryagin wrote a number of textbooks that were widely used in the education of Russian mathematicians in the first half of the 20th Century. He wrote "Generalization of Numbers" as an introduction to number theory for advanced high school students and first-year university students. The book discusses the completion of algebraic numbers and shows that complex numbers are sufficient. It also presents a useful and intuitive proof of the existence of at least one root of any polynomial with real coefficients.
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Lev Pontryagin was a Russian mathematician, born in Moscow on 3 September 1908 and died on 3 May 1988. He lost his eyesight in a primus stove explosion when he was 14 and a half. Due to the help of his mother Tatyana Andreevna who read mathematical books and papers to him, he was able to become a mathematician of the first order.
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