Skip to Main Content

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


MathSciNet review: 1567031
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Z. A. Melzak
Title: Companion to concrete mathematics
Additional book information: Volume I: Mathematical techniques and various applications, Volume II: Mathematical ideas, modeling and applications, John Wiley & Sons, Inc., New York, 1973, xiii + 270 pp., $14.45, 1976, xvi + 413 pp., $29.95.

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

1.
P. Halmos, Mathematics as a creative art, Amer. Sci. 56 (1968), 375-389.
2.
Amer. Math. Monthly 81 (1974), 304.
3.
M. S. Klamkin, On the teaching of mathematics so as to be useful, Ed. Stud. Math. 1 (1968), 126-160.
  • Murray S. Klamkin, Mathematical Education: On the Ideal Role of an Industrial Mathematician and its Educational Implications, Amer. Math. Monthly 78 (1971), no. 1, 53–76. MR 1536182, DOI 10.2307/2317490
    • 5.
    Problem 5B, Amer. Math. Monthly 58 (1951), 482.
  • O. Bottema and E. J. F. Primrose, Algebraic curves on a torus, Nederl. Akad. Wetensch. Proc. Ser. A 77=Indag. Math. 36 (1974), 333–338. MR 0354702
    • 7.
    J. Edwards, A treatise on the integral calculus. I, II, Chelsea, New York, 1954.
  • Branko Grünbaum, Convex polytopes, Pure and Applied Mathematics, Vol. 16, Interscience Publishers John Wiley & Sons, Inc., New York, 1967. With the cooperation of Victor Klee, M. A. Perles and G. C. Shephard. MR 0226496
  • Frank Harary, Graph theory, Addison-Wesley Publishing Co., Reading, Mass.-Menlo Park, Calif.-London 1969. MR 0256911
  • J. Aczél, Lectures on functional equations and their applications, Mathematics in Science and Engineering, Vol. 19, Academic Press, New York-London, 1966. Translated by Scripta Technica, Inc. Supplemented by the author. Edited by Hansjorg Oser. MR 0208210
  • Marek Kuczma, Functional equations in a single variable, Monografie Matematyczne, Tom 46, Państwowe Wydawnictwo Naukowe, Warsaw, 1968. MR 0228862
  • H. S. M. Coxeter, Geometry, Lectures on Modern Mathematics, Vol. III, Wiley, New York, 1965, pp. 58–94. MR 0178389
  • V. G. Boltyanskiĭ, Eşdeğer ve eşparçalanabilen şekiller, Turkish Mathematical Society Publications, No. 26, Türk Matematik Derneği, Istanbul, 1964 (Turkish). Translated by Altmtaş Büke. MR 0230198
    • 16.
    L. A. Santaló, Integral geometry and geometric probability, Addison-Wesley, Reading, Mass., 1976, pp. 119-121; (I-23). MR 433364
  • Luis A. Santaló, Integral geometry and geometric probability, Encyclopedia of Mathematics and its Applications, Vol. 1, Addison-Wesley Publishing Co., Reading, Mass.-London-Amsterdam, 1976. With a foreword by Mark Kac. MR 0433364
    • 18.
    Problem 73-18, A minimum number of normals, SIAM Review 15 (1973), 658; (I-44).
    19.
    M. Spivak, Differential geometry. IV, Publish or Perish, Berkeley, Calif., 1975, p. 29; (1-49).
    20.
    N. Altshiller-Court, Modern pure solid geometry, MacMillan, New York, 1935, p. 86; (I-149).
    21.
    T. L. Saaty, Optimization in integers and related extremal problems, McGraw-Hill, New York, 1970, p. 27; (I-159). MR 356888
  • Thomas L. Saaty, Optimization in integers and related extremal problems, McGraw-Hill Book Co., New York-London-Sydney, 1970. From a course given at the University of California, Los Angeles, and at the George Washington University. MR 0356888
  • M. G. Kendall and P. A. P. Moran, Geometrical probability, Griffin’s Statistical Monographs & Courses, No. 10, Hafner Publishing Co., New York, 1963. MR 0174068
  • George S. Carr, Formulas and theorems in pure mathematics, 2nd ed., Chelsea Publishing Co., New York, 1970. With an introduction by Jacques Dutka. MR 0389514
    • 25.
    M. S. Klamkin, Extensions of Dirichlet's multiple integral, SIAM J. Math. Anal. 2 (1971), 467-469; (I-203). MR 286953
  • Murray S. Klamkin, Extensions of Dirichlet’s multiple integral, SIAM J. Math. Anal. 2 (1971), 467–469. MR 286953, DOI 10.1137/0502046
    • 27.
    D. Pedoe, A geometric proof of the equivalence of Fermat's principle and Snell's law, Amer. Math. Monthly 71 (1964), 543-544; (II-94). MR 1532698
  • Daniel Pedoe, Classroom Notes: A Geometric Proof of the Equivalence of Fermat’s Principle and Snell’s Law, Amer. Math. Monthly 71 (1964), no. 5, 543–544. MR 1532698, DOI 10.2307/2312600
    • 29.
    L. A. Lyusternik, Convex figures and polyhedra, Dover, New York, 1963, pp. 89-120; (II-115). MR 161219
  • L. A. Lyusternik, Convex figures and polyhedra, Dover Publications, Inc., New York, 1963. Translated from the Russian by T. Jefferson Smith. MR 0161219
    • 31.
    A. Girard, Invention nouvelle en algèbre, Amsterdam, 1629.
    32.
    J. R. Isbell, An optimal search pattern, Naval Res. Logist. Quart. 4 (1957), 357-359. MR 90474
  • J. R. Isbell, An optimal search pattern, Naval Res. Logist. Quart. 4 (1957), 357–359. MR 90474, DOI 10.1002/nav.3800040409
    • 34.
    Problem 68-11. Optimal search paths, SIAM Review 10 (1968), 376.
    35.
    Problem B-4, Amer. Math. Monthly 81 (1974), 1091.
    36.
    M. S. Klamkin and D. J. Newman, Inequality and identities for sums and integrals, Amer. Math. Monthly 83 (1976), 26-30. MR 385041
  • M. S. Klamkin and D. J. Newman, Inequalities and identities for sums and integrals, Amer. Math. Monthly 83 (1975), no. 1, 26–30. MR 385041, DOI 10.2307/2318828
  • Richard Courant and Herbert Robbins, What is mathematics?, Oxford University Press, New York, 1979. An elementary approach to ideas and methods. MR 552669
  • Arthur Bernhart, Curves of pursuit. II, Scripta Math. 23 (1957), 49–65. MR 99620
    • 46.
    B. Noble, Applications of undergraduate mathematics in engineering, MacMillan, New York, 1967. MR 207243
  • George Pólya, Mathematical discovery, John Wiley & Sons, Inc., New York, 1981. On understanding, learning, and teaching problem solving; Reprint in one volume; With a foreword by Peter Hilton; With a bibliography by Gerald Alexanderson; With an index by Jean Pedersen. MR 624067
    • 48.
    E. W. Montroll and W. W. Badger, Introduction to quantitative aspects of social phenomenon, Gordon and Breach, New York, 1974.
    49.
    F. S. Roberts, Discrete mathematical models, Prentice-Hall, Englewood Cliffs, N.J., 1976.
  • Ben Noble, Applications of undergraduate mathematics in engineering, Mathematical Association of America; distributed by The Macmillan Co., New York; Collier Macmillan Ltd., London, 1967. MR 0207243
    • 51.
    T. L. Saaty and J. Braun, Nonlinear mathematics, McGraw-Hill, New York, 1964. MR 164812
    52.
    R. Bellman, K. L. Cooke and J. A. Lockett, Algorithms, graphs and computers, Academic Press, New York, 1970. MR 260151
    53.
    L. Comtet, Advanced combinatorics, Reidel, Dordrecht, 1974. MR 460128
  • Richard Haberman, Mathematical models, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1977. Mechanical vibrations, population dynamics, and traffic flow; An introduction to applied mathematics. MR 0441202
  • Thomas L. Saaty and Joseph Bram, Nonlinear mathematics, McGraw-Hill Book Co., New York, 1964. MR 0164812
  • Richard Bellman, Kenneth L. Cooke, and Jo Ann Lockett, Algorithms, graphs and computers, Mathematics in Science and Engineering, Vol. 62, Academic Press, New York-London, 1970. MR 0260151
  • Louis Comtet, Advanced combinatorics, Revised and enlarged edition, D. Reidel Publishing Co., Dordrecht, 1974. The art of finite and infinite expansions. MR 0460128
  • L. Fejes Tóth, Regular figures, A Pergamon Press Book, The Macmillan Company, New York, 1964. MR 0165423
  • G. Lefort, Algebra and analysis. Problems and solutions, W. B. Saunders Co., Philadelphia, Pa., 1966. Translated from the French by Scripta Technica, Inc; Translation editor, Bernard R. Gelbaum. MR 0202510
  • J. Bass, Exercises in mathematics: Simple and multiple integrals. Series of functions. Fourier series and Fourier integrals. Analytic functions. Ordinary and partial differential equations, Academic Press, New York-London, 1966. Translated from the French by Scripta Technica, Inc. MR 0204231
  • Peter Henrici, Applied and computational complex analysis, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1974. Volume 1: Power series—integration—conformal mapping—location of zeros. MR 0372162
  • H. Steinhaus, Mathematical Snapshots, Oxford University Press, New York, N. Y., 1950. MR 0036005
    • 60. A. Rademacher and O. Toeplitz, The enjoyment of mathematics, Princeton Univ. Press, Princeton, N.J., 1957.
  • Heinrich Tietze, Famous problems of mathematics. Solved and unsolved mathematical problems from antiquity to modern times, Authorized translation from the second (1959) revised German edition, Graylock Press, New York, 1965. Edited by B. K. Hofstadter and H. Komm. MR 0181558
    • 62. D. Hilbert and S. Cohen-Vossen, Geometry and the imagination, Chelsea, New York, 1952. 63. E. Goursat, E. Hedrick, A course of mathematical analysis. I, II, III, Ginn, Boston, 1904.
    Review Information:

    Reviewer: M. S. Klamkin
    Journal: Bull. Amer. Math. Soc. 84 (1978), 114-120
    DOI: https://doi.org/10.1090/S0002-9904-1978-14428-0