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Problems And Theorems In Analysis
''Problems and Theorems in Analysis'' () 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." Background It was Pólya who had the idea for a comprehensive problem book in analysis first, but he realised he would not be able complete it alone. He de ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Problem Book
Problem books are textbooks, usually at advanced undergraduate or post-graduate level, in which the material is organized as a series of problems, each with a complete solution given. Problem books are distinct from workbooks in that the problems are designed as a primary means of teaching, not merely for practice on material learned elsewhere. Problem books are found most often in the mathematical and physical sciences; they have a strong tradition within the Russian educational system. Sidney B. Cahn and Boris E. Nadgorny (1994) ''A Guide to Physics Problems'', Plenum, vol. 2, p. vii (Preface). At some American universities, problem books are associated with departmental preliminary or candidacy examinations for the Doctor of philosophy, Ph.D. degree. Such books may exemplify decades of actual examinations and, when published, are studied by graduate students at other institutions. Other problem books are specific to graduate fields of study. While certain problem books are col ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
