Shafarevich I.R. Discourses on Algebra

Springer-Verlag, Berlin, Heidelberg, 2003. — 287 p. — ISBN: 3540422536Using various examples this monograph shows that algebra is one of the most beautiful forms of mathematics. In doing so, it explains the basics of algebra, number theory, set theory and probability. The text presupposes very limited knowledge of mathematics, making it an ideal read for anybody new to the subject. The author, I.R. Shafarevich, is well-known across the world as one of the most outstanding mathematicians of this century as well as one of the most respected mathematical writers.Integers (Topic: Numbers)
Simplest Properties of Polynomials (Topic: Polynomials)
Finite Sets (Topic: Sets)
Prime Numbers (Topic: Numbers)
Real Numbers and Polynomials (Topic: Numbers and Polynomials)
Infinite Sets (Topic: Sets)
Power Series (Topic: Polynomials)
Dates of Lives of Mathematicians Mentioned in the Text