Sherman K. Stein

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Sherman Kopald Stein (born August 11, 1926) is an American mathematician and an author of mathematics textbooks. He is a professor emeritus at the University of California, Davis. His writings have won the Lester R. Ford Award and the Beckenbach Book Prize.

Contents

Life

Stein was born on August 11, 1926, in Minneapolis; his father was a bookbinder. He graduated from the California Institute of Technology in 1946. [1] He completed his doctorate at Columbia University in 1952. His dissertation, The Homology of the Two-Fold Symmetric Product, was supervised by Paul Althaus Smith. [2]

Stein worked as a mathematics instructor at Princeton University for a year, [3] and then joined the mathematics faculty at the University of California, Davis in 1953. He retired in 1993. [1]

Books

Stein is the author of: [1]

The book Algebra and Tiling: Homomorphisms in the Service of Geometry, written by Stein and Szabó, won the 1998 Beckenbach Book Prize of the Mathematical Association of America. [16]

Other contributions

Stein's doctoral research was in topology, but his research interests later shifted to abstract algebra and combinatorics. In combinatorics, he is known for formulating the tripod packing problem. The tripods of this problem are infinite polycubes, the unions of the lattice cubes along three axis-parallel rays, and they have also been called "Stein corners" in honor of his contributions to this problem. [17] Stein is also known as one of the independent discoverers of Fáry's theorem, [18] and for his contributions to equidissection, the partition of polygons into triangles of equal area. [19]

Stein won the Lester R. Ford Award of the Mathematical Association of America in 1975 for a paper on the connections between group theory and tessellations. [3]

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References

  1. 1 2 3 "Stein, Sherman K. 1926-", Gale Contemporary Authors, 2009
  2. Sherman K. Stein at the Mathematics Genealogy Project
  3. 1 2 "Algebraic tiling", Lester R. Ford Awards, Mathematical Association of America , retrieved 2019-02-23
  4. Reviews of Mathematics: The Man-Made Universe:
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    • Matthews, Geoffrey (February 1964), The Mathematical Gazette, 48 (363): 112–113, doi:10.2307/3614350, JSTOR   3614350 CS1 maint: untitled periodical (link)
    • Kochendörffer, R. (1965), Biometrische Zeitschrift, 7 (2): 136, doi:10.1002/bimj.19650070245 CS1 maint: untitled periodical (link)
    • Cogan, E. J. (March 1970), The American Mathematical Monthly, 77 (3): 317–318, doi:10.2307/2317735, JSTOR   2317735 CS1 maint: untitled periodical (link)
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  6. Review of Calculus for the Natural and Social Sciences:
  7. Reviews of Calculus and Analytic Geometry:
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  11. Reviews of Algebra and Tiling:
    • Kenyon, Richard (1995), Mathematical Reviews , MR   1311249 CS1 maint: untitled periodical (link)
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  12. Reviews of Strength in Numbers:
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  13. Reviews of Archimedes: What Did He Do besides Cry Eureka?:
  14. Reviews of Adventures in Mathematical Reasoning:
    • Craine, Timothy V. (May 2002), The Mathematics Teacher, 95 (5 ed.), National Council of Teachers of Mathematics, p. 394, JSTOR   20871067
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  15. Review of Survival Guide for Outsiders:
    • Vestal, Donald L. (October 2010), "Review", MAA Reviews
  16. Beckenbach Book Prize, Mathematical Association of America , retrieved 2019-02-23
  17. Golomb, S. W. (1969), "A general formulation of error metrics", IEEE Transactions on Information Theory , IT-15: 425–426, doi:10.1109/tit.1969.1054308, MR   0243902
  18. Harary, Frank (1979), "Independent discoveries in graph theory", Topics in graph theory (New York, 1977), Ann. New York Acad. Sci., 328, New York Acad. Sci., New York, pp. 1–4, MR   0557880
  19. Monsky, Paul (September 1990), "A conjecture of Stein on plane dissections", Mathematische Zeitschrift, 205 (1): 583–592, doi:10.1007/BF02571264, S2CID   122009844, Zbl   0693.51008