Customer Reviews

Problems and Theorems in Analysis. Volume II: Theory of Functions. Zeros. Polynomials. Determinants. Number Theory. Geometry (Classics in Mathematics) (v. 2)

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Polya and Szego's 1923 two volumes of mathematics problems are still the best collections of problems for people who want to learn advanced undergraduate and graduate level mathematics. When I want to know something about zeros of polynomials, about inequalities for polynomials or trigonometric polynomials, or determinants and quadratic forms, the first place I look is volume 2 of Polya and Szego. It is a great source of problems to give to students if you are a teacher, and the best set of problems to work through if you are learning mathematics at the advanced undergraduate level or higher. Volume 2 contains long chapters on complex variables and number theory and some problems in geometry. Both volumes belong on a shelf close to the desk of anyone who teaches college level mathematics. They are also very useful for those who use mathematics. These two volumes are gems, and would be rated above 5 stars if possible. The German original is available here in a nice English translation. Some new material was added when the translation was first published.