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Bulletin of the American Mathematical Society

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Book Review

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MathSciNet review: 1567019
Full text of review: PDF   This review is available free of charge.
Book Information:

Authors: G. Pólya and G. Szegö
Title: Problems and theorems in analysis
Additional book information: Die Grundlehren der math. Wissenschaften, Springer-Verlag, Berlin and New York; Vol. I, 1972, xix + 389 pp., Vol. II, 1976, xi + 391 pp., $45.10.

References [Enhancements On Off] (What's this?)

  • 1. J. D. Tamarkin, Pólya and Szegö's, Problems in analysis, Bull. Amer. Math. Soc. 34 (1928), 233-234.
  • 2. G. Pólya, How to solve it, 2nd ed., Princeton Science Library, Princeton University Press, Princeton, NJ, 1988. A new aspect of mathematical method. MR 1090087
  • 3. G. Pólya, Mathematics and plausible reasoning. Vol. I, Princeton University Press, Princeton, NJ, 1990. Induction and analogy in mathematics; Reprint of the 1954 original. MR 1109055
  • 4. George Pólya, Mathematical discovery. On understanding, learning, and teaching problem solving. Vol. I, John Wiley & Sons, Inc., New York-London, 1962. MR 0171671
  • 5. M. N. Aref and W. Wernick, Problems and solutions in euclidean geometry, Dover, New York, 1968, xiii + 258 pp. [Mostly elementary and routine, but a little interesting material on triangles, circles, and space geometry near the end.]
  • 6. J. D. Dixon, Problems in group theory, Blaisdell, Waltham, Mass., xii + 175 pp. [For supplementing a first serious course in group theory. Maybe 75% exercises, 25% problems.]
  • 7. Otto Dunkel and E. P. Starke, Problems and Solutions: Advanced Problems: Solutions: 3957, Amer. Math. Monthly 49 (1942), no. 1, 64–68. MR 1525335, https://doi.org/10.2307/2303792
  • 8. D. K. Faddeev and I. S. Sominskii, Problems in higher algebra, Translated by J. L. Brenner, W. H. Freeman and Co., San Francisco-London, 1965. MR 0176990
  • 9. Hugo Hadwiger and Hans Debrunner, Combinatorial geometry in the plane, Translated by Victor Klee. With a new chapter and other additional material supplied by the translator, Holt, Rinehart and Winston, New York, 1964. MR 0164279
  • 10. Konrad Knopp, Problem book in the theory of functions. Vol. II. Problems in the advanced theory of functions, Dover Publications, Inc., New York, N. Y., 1953. Translated by F. Bagemihl. MR 0055435
  • 11. Jan G. Krzyż, Problems in complex variable theory, American Elsevier Publishing Co., Inc., New York; PWN—Polish Scientific Publishers, Warsaw, 1971. Translation of the 1962 Polish original; Modern Analytic and Computational Methods in Science and Mathematics, No. 36. MR 0447533
  • 12. Ya. I. Rivkind, Problems in mathematical analysis, Translated by Scripta Technica, Inc, P. Noordhoff, Scientific Publishers, Groningen, 1963. MR 0157880
  • 13. D. O. Shklarsky, N. N. Chentzov, and I. M. Yaglom, The USSR Olympiad problem book. Selected problems and theorems of elementary mathematics, Revised and edited by Irving Sussman; translated by John Maykovich, W. H. Freeman and Co., San Francisco-London, 1962. MR 0157882
  • 14. W. Sierpiński, 250 problems in elementary number theory, Modern Analytic and Computational Methods in Science and Mathematics, No. 26, American Elsevier Publishing Co., Inc., New York; PWN Polish Scientific Publishers, Warsaw, 1970. MR 0269580
  • 15. Contests in higher mathematics (Hungary, 1949–1961), In memoriam Miklós Schweitzer. Editorial Board: G. Szász, L. Gehér, I. Kovács and L. Pintér. Manuscript revised by P. Erdös, A. Rényi, B. Sz.-Nagy and P. Turán. Linguistically revised by B. Balkay, Akadémiai Kiadó, Budapest, 1968. MR 0239895
  • 16. A. M. Yaglom and I. M. Yaglom, Challenging mathematical problems with elementary solutions, Holden-Day, San Francisco, Calif.; Vol. I: Combinatorial analysis and probability theory, 1964, ix + 231 pp.; Vol. II: Problems from various branches of mathematics, 1967, xi + 214 pp. [A collection of outstanding problems at the U. S. university level.]

Review Information:

Reviewer: Harley Fanders
Journal: Bull. Amer. Math. Soc. 84 (1978), 53-62
DOI: https://doi.org/10.1090/S0002-9904-1978-14405-X