Problems and Theorems in Analysis: Difference between revisions

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{{Short description|Problem book in mathematical analysis}}

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'''''Problems and Theorems in Analysis''''' ({{langx|de|Aufgaben und Lehrsätze aus der Analysis|links=no}}) is a two-volume [[problem book]] in [[Mathematical analysis|analysis]] by [[George Pólya]] and [[Gábor Szegő]]. 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 [[Problem solving|problem-solving]] 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."<ref name=Walks/>{{rp|59}}

==Background==