Problems and Theorems in Analysis

Problems and Theorems in Analysis (German: Aufgaben und Lehrsätze aus der Analysis) is a two-volume <a href="/facts/Problem_book/NgKUxb2u">problem book</a> in <a href="/facts/Mathematical_analysis/XXeR26Ih">analysis</a> by <a href="/facts/George_P%25C3%25B3lya/cYgGdvJu">George Pólya</a> and <a href="/facts/G%25C3%25A1bor_Szeg%25C5%2591/tTe7QQ8y">Gábor Szegő</a>. Published in 1925, the two volumes are titled (I) Series. Integral Calculus. Theory of Functions.; and (II) Theory of Functions. Zeros. Polynomials. Determinants. Number Theory. Geometry.
The volumes are highly regarded for the quality of their problems and their method of organisation, not by topic but by method of solution, with a focus on cultivating the student's <a href="/facts/Problem_solving/9cuLz5pH">problem-solving</a> skills. Each volume the contains problems at the beginning and (brief) solutions at the end. As two authors have put it, "there is a general consensus among mathematicians that the two-volume Pólya-Szegő is the best written and most useful problem book in the history of mathematics.": 59

Problems and Theorems in Analysis open-in-new

Problems and Theorems in Analysis