
Summary: The classic geometry of Euclid has attracted many for its beauty, elegance, and logical cohesion. In this book, the leading Russian algebraist I.R. Shafarevich argues with examples that algebra is no less beautiful, elegant, and logically cohesive than geometry. It contains an exposition of some rudiments of algebra, number theory, set theory and probability presupposing very limited knowledge of mathematics. I.R. Shafarevich is known to be one of the leading mathematicians of the 20 ...show moreth century, as well as one of the best mathematical writers. TOC:Integers.- Simplest Properties of Polynomials.- Finite Sets.- Prime Numbers.- Real Numbers and Polynomials.- Infinite Sets.- Power Series ...show less
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