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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