Sherman K. Stein

From Wikipedia, the free encyclopedia

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.

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]​

  • Mathematics: The Man-Made Universe: An Introduction to the Spirit of Mathematics (W. H. Freeman, 1963; 3rd ed., Dover, 1998)[4]​
  • Calculus in the First Three Dimensions (McGraw-Hill, 1967)[5]​
  • Calculus for the Natural and Social Sciences (McGraw-Hill, 1968)[6]​
  • Calculus and Analytic Geometry (McGraw-Hill, 1968; 5th ed., 1992)[7]​
  • Elementary Algebra: A Guided Inquiry (with Calvin D. Crabill, Houghton Mifflin, 1972)[8]​
  • Geometry: A Guided Inquiry (with G. D. Chakerian and Calvin D. Crabill, Houghton Mifflin, 1972)[9]​
  • Algebra II/Trigonometry (with Calvin D. Crabill, W. H. Freeman, 1976)[10]​
  • An Introduction to Differential Equations (with Anthony Barcellos, McGraw-Hill, 1994)
  • Algebra and Tiling: Homomorphisms in the Service of Geometry (with Sándor Szabó, Mathematical Association of America, 1994)[11]​
  • Strength in Numbers: Discovering the Joy and Power of Mathematics in Everyday Life (Wiley, 1996)[12]​
  • Archimedes: What Did He Do besides Cry Eureka? (Mathematical Association of America, 1999)[13]​
  • How the Other Half Thinks: Adventures in Mathematical Reasoning (McGraw-Hill, 2001; reprinted as Adventures in Mathematical Reasoning, Dover, 2016)[14]​
  • Survival Guide for Outsiders: How to Protect Yourself from Politicians, Experts and Other Insiders (BookSurge, 2010).[15]​

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]​

References[]

  1. ^ Jump up to: a b c "Stein, Sherman K. 1926-", Gale Contemporary Authors, 2009
  2. ^ Sherman K. Stein at the Mathematics Genealogy Project
  3. ^ Jump up to: a b "Algebraic tiling", Lester R. Ford Awards, Mathematical Association of America, retrieved 2019-02-23
  4. ^ Reviews of Mathematics: The Man-Made Universe:
    • Wilcox, L. R. (June 1963), "Mathematics for the General Reader", Science, New Series, 140 (3573): 1298–1299, JSTOR 1711190
    • Wagner, John (December 1963), The Mathematics Teacher, 56 (8): 639, JSTOR 27956938CS1 maint: untitled periodical (link)
    • Matthews, Geoffrey (February 1964), The Mathematical Gazette, 48 (363): 112–113, doi:10.2307/3614350, JSTOR 3614350CS1 maint: untitled periodical (link)
    • Kochendörffer, R. (1965), Biometrische Zeitschrift, 7 (2): 136, doi:10.1002/bimj.19650070245CS1 maint: untitled periodical (link)
    • Cogan, E. J. (March 1970), The American Mathematical Monthly, 77 (3): 317–318, doi:10.2307/2317735, JSTOR 2317735CS1 maint: untitled periodical (link)
    • Broadbent, T. A. A. (May 1970), The Mathematical Gazette, 54 (388): 167, doi:10.2307/3612117, JSTOR 3612117CS1 maint: untitled periodical (link)
    • Engelsohn, Harold (December 1970), The American Mathematical Monthly, 77 (10): 1121–1122, doi:10.2307/2316123, JSTOR 2316123CS1 maint: untitled periodical (link)
    • Sidney, Stuart Jay (September–October 1976), American Scientist, 64 (5): 581, JSTOR 27847529CS1 maint: untitled periodical (link)
    • Spangler, Richard C. (November 1976), The Mathematics Teacher, 69 (7): 619, JSTOR 27960635CS1 maint: untitled periodical (link)
    • Cooper, B. B. (May 1977), Mathematics in School, 6 (3): 35, JSTOR 30212437CS1 maint: untitled periodical (link)
    • Dudley, Underwood (July 2011), "Review", MAA Reviews
  5. ^ Review of Calculus in the First Three Dimensions:
    • Becker, Glenn (October 2017), "Review", MAA Reviews
  6. ^ Review of Calculus for the Natural and Social Sciences:
    • Loewen, Kenneth (January 1971), The American Mathematical Monthly, 78 (1): 94–95, doi:10.2307/2317508, JSTOR 2317508CS1 maint: untitled periodical (link)
  7. ^ Reviews of Calculus and Analytic Geometry:
    • Green, George (March 1974), The Mathematics Teacher, 67 (3): 247, JSTOR 27959645CS1 maint: untitled periodical (link)
    • Phillips, Charles; Stanek, Jean Chan (February 1976), The American Mathematical Monthly, 83 (2): 145–146, doi:10.2307/2977009, JSTOR 2977009CS1 maint: untitled periodical (link)
    • Cron, Joe (February 1988), The Mathematics Teacher, 81 (2): 152, JSTOR 27965734CS1 maint: untitled periodical (link)
  8. ^ Review of Elementary Algebra: A Guided Inquiry:
    • Munro, H. Bernice (October 1972), The Mathematics Teacher, 65 (6): 549, JSTOR 27958993CS1 maint: untitled periodical (link)
  9. ^ Reviews of Geometry: A Guided Inquiry:
    • Peak, Philip (February 1973), The Mathematics Teacher, 66 (2): 152, JSTOR 27959222CS1 maint: untitled periodical (link)
    • Dull, Arthur P. (Spring 1974), The Two-Year College Mathematics Journal, 5 (2): 57–58, doi:10.2307/3026575, JSTOR 3026575CS1 maint: untitled periodical (link)
  10. ^ Review of Algebra II/Trigonometry:
    • Bristol, James D. (December 1976), The Mathematics Teacher, 69 (8): 694–695, JSTOR 27960669CS1 maint: untitled periodical (link)
  11. ^ Reviews of Algebra and Tiling:
    • Kenyon, Richard (1995), Mathematical Reviews, MR 1311249CS1 maint: untitled periodical (link)
    • Walton, William L. (December 1995), The Mathematics Teacher, 88 (9): 778, JSTOR 27969590CS1 maint: untitled periodical (link)
    • Post, K.A. (1998), Mededelingen van Het Wiskundig Genootschap, 41: 255–256CS1 maint: untitled periodical (link)
    • Mainardi, Fabio (May 2008), "Review", MAA Reviews
  12. ^ Reviews of Strength in Numbers:
    • Devlin, Keith (December 1996), "Review", MAA Reviews
    • Rauff, James V. (April 1997), The Mathematics Teacher, 90 (4): 334, JSTOR 27970171CS1 maint: untitled periodical (link)
    • Dorgan, Karen (May 1997), Mathematics Teaching in the Middle School, 2 (6): 444, JSTOR 41181637CS1 maint: untitled periodical (link)
    • Galovich, Jennifer R. (August–September 1997), The American Mathematical Monthly, 104 (7): 677–679, doi:10.2307/2975071, JSTOR 2975071CS1 maint: untitled periodical (link)
    • Braden, Lawrence S. (September–October 1997), "Review", American Scientist, 85 (5): 488–489, ProQuest 215266093
  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
    • Langton, Stacy G. (August 2002), "Review", MAA Reviews
    • Barbeau, Edward J. (September 2002), "Review" (PDF), Notices of the American Mathematical Society, 49 (8): 905–910
    • Sheffield, Linda Jensen (April 2005), "Review", School Science and Mathematics, 105 (4): 214, doi:10.1111/j.1949-8594.2005.tb18160.x, ProQuest 195208263
    • Abdi, S. Wali (March 2008), School Science and Mathematics, 108 (3): 121–123, doi:10.1111/j.1949-8594.2008.tb17815.xCS1 maint: untitled periodical (link)*Dietz, Geoffrey (December 2016), "Review", MAA Reviews
  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
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