GERALD L. ALEXANDERSON

(Primary publications are listed below. Please contact author for lists of book reviews, Media Highlights, and presentations.)

 

Publications:

 

MR = Mathematical Reviews; Zbl = Zentralblatt für Mathematik und ihre Grenzgebiete

 

Papers:

 

1.  (with J. E. Wetzel)  Dissections of a tetrahedron, J. Combinatorial Theory, Ser. B, 11 (1971), 58-66. [MR 0303412; Zbl 0185.48501]

2.  (with G. Pólya)  Gaussian binomial coefficients, Elem. Math. 26 (1971), 102-109. [MR 0299490; Zbl 0218.05002]

3.  (with V. E. Hoggatt, Jr.) A property of multinomial coefficients, Fibonacci Quart. 9 (1971), 351-356. [MR 0302458; Zbl 0246.05005]

4.  (with J. E. Wetzel)  Dissections of a simplex, Bull. Amer. Math. Soc. 79 (1973), 170-171. [MR 0310765; Zbl 0254.50004]

5.  (with L. F. Klosinski)  A Fibonacci analogue of Gaussian binomial coefficients, Fibonacci Quart. 12 (1974), 129-132. [MR 0354537; Zbl 0279.05004]

6.  (with V. E. Hoggatt, Jr.)  Sums of partition sets in generalized Pascal triangles I, Fibonacci Quart. 14  (1976), 117-125. [MR 0403993; Zbl 0358.05004]

7.  (with J. E. Wetzel)  Dissections of a plane oval, Amer. Math. Monthly 84 (1977), 442-449. [MR 0513837; Zbl 0375.50009]

8.  (with J. E. Wetzel)  Simple partitions of space, Math. Mag. 51 (1978), 220-225. [MR0506723; Zbl 0403.51017]

9.  (with K. Seydel)  Kürschák's tile, Math. Gaz. 26 (1978), 192-196. (Reprinted in Pig and Other Tales, Leicester, England, Mathematical Association, 1997.) [MR 0513856; Zbl 0397.51012]

10. (with J. E. Wetzel)  Arrangements of planes in space, Discrete Math. 34 (1981), 219-240. [MR 0613402; Zbl 0477.05021] Erratum: Discrete Math. 45 (1983), 140. [MR 0700860; Zbl 0505.05019]

11. (with J. E. Wetzel)  Division of space by parallels, Trans. Amer. Math. Soc. 291 (1985), 363-377. [MR 0797066; Zbl 0576.51016]

12. (with J. E. Wetzel)  A simplicial 3-arrangement of 21 planes, Discrete Math. 60 (1986), 67-73. [MR 0852098; Zbl 0603.51009]

13. (with J. E. Wetzel)  On d-arrangements associated with a simplex, Discrete Math. 62 (1986), 325-328. [MR 0866950; Zbl 0601.51027]

14. (with J. E. Wetzel)  A simplicial 3-arrangement of 22 planes, Geom. Dedicata 21 (1986), 257-264. [MR 0867159; Zbl 0601.51026]

15. (with J. E. Wetzel)  A simplicial 4-arrangement of 33 hyperplanes, Geom. Dedicata 24 1987), 245-254. [MR 0914820; Zbl 0628.52007]

16. (with J. E. Wetzel)  Simplicial cross polytopic d-arrangements, Geom. Dedicata 27 (1988), 77-86. [MR 0950324; Zbl 0646.52005]

17. Euler and Königsberg's Bridges: A Historical View. Bull. Amer. Math. Soc. 43(4) (2006), 567-573. [MR 2247921]

18. Euler's Introductio in analysin infinitorum, Bull. Amer. Math. Soc. 44(4) (2007), 635-639.

 

Books:

 

1   (with A. P. Hillman)  Functional Trigonometry, Boston, Allyn & Bacon, 1961. 2nd edition, 1966; 3rd edition, 1971.

2.  (with A. P. Hillman)  Algebra & Trigonometry, Boston, Allyn & Bacon, 1963. [Zbl 0128.00102]

3.  (with A. P. Hillman)  Algebra through Problem Solving, Boston, Allyn & Bacon, 1966. [Zbl 0137.00105]

4.  (with A. P. Hillman)  A First Undergraduate Course in Abstract Algebra, Belmont, CA, Wadsworth, 1973. 2nd edition, 1978 [Zbl 0427.00001]; 3rd edition 1983; 4th edition, 1988 [Zbl 0745.00001]; Boston, PWS Publishing Co., 5th edition [Zbl 0866.00002]; Prospect Park, IL, Waveland Press, 1999, under the title Abstract Algebra.

5.   (ed., with D. J. Albers) Mathematical People/Profiles and Interviews, Boston, Birkhäuser, 1985. Paperback, Chicago, New York, Contemporary Books, 1986; Japanese edition, Tokyo, Kagakusha, Modern Science Company, 1988. Revised edition in English, Wellesley, AKPeters, 2008) [MR 0779826; Zbl 0559.01024]

6.  (with A. P. Hillman, L. F. Klosinski, and D. E. Logothetti)  Santa Clara Silver Anniversary Problem Book/Twenty-Five Years of the University of Santa Clara High School Mathematics Contest, Menlo Park, CA, Dale Seymour Publications, 1985.

7.  (with L. F. Klosinski and L. C. Larson) The William Lowell Putnam Mathematical Competition/Problems and Solutions 1965-84, Washington, Mathematical Association of America, 1986; paperback ed., 2003. [MR 0837662; Zbl 0584.00003]

8.  (with D. J. Albers and C. Reid) International Mathematical Congresses/An Illustrated History 1893-1986, New York, Springer-Verlag, 1986. (Japanese edition, Tokyo, Springer, 1990; revised and expanded version in Chinese, Beijing, CIP, 2002 [MR 0874336; Zbl 0611.01014]

9.  (with A. P. Hillman and R. M. Grassl) Discrete and Combinatorial Mathematics, San Francisco, Dellen (Macmillan), 1987. [MR 1011880; Zbl 0711.05001]

10. (ed., with G. Pólya) The Pólya Picture Album/Encounters of a Mathematician,   Boston, Basel, Birkhäuser, 1987. [MR 0898436]       

11. (ed, with D. J. Albers and C. Reid) More Mathematical People/Contemporary Conversations, Boston, Harcourt-Brace Jovanovich, 1990. [MR 1143310; Zbl 0744.01009] Paperback ed., San Diego, CA, Academic Press, 1994 [Zbl 0806.01029]; Japanese edition, Tokyo, 1993.

12. (ed., with D. H. Mugler) Lion Hunting and Other Mathematical Pursuits: A Collection of Mathematics, Verse and Stories by Ralph P. Boas, Jr., Washington, Mathematical Association of America, 1994. [MR 1311245; Zbl 0854.00001]

13. Random Walks of George Pólya, Washington, Mathematical Association of America (Cambridge University Press), 2000. [MR 1736798; Zbl 0942.01028]

14. (ed. with Peter Ross) The Harmony of the World,  Washington, Mathematical Association of America, 2007.     

         

General Articles, Reports, Pedagogy, Interviews, Obituaries:

         

1.  (with A. P. Hillman)  A motivation for continued fractions, Fibonacci Quart.. 2 (1964), 145-148. (Reprinted in A Primer on the Fibonacci Numbers, Fibonacci Association, 1972.) [MR 0360456]

2.  (with A. P. Hillman and L. F. Klosinski)  The Santa Clara High School Mathematics Contest, Amer. Math. Monthly 75 (1968), 668.

3.  (with L. F. Klosinski)  Some surprising volumes of revolution, Two-Year CollegeMath. J. 6(3) (1975), 13-15.

4.   (with A. P. Hillman and L. F. Klosinski)  The William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 83 (1976), 701-708.

5.  (with A. P. Hillman and L. F. Klosinski)  The William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 85 (1978), 26-33.

6.   George Pólya interviewed on his ninetieth birthday, Two-Year College Math. J. 10 (1979), 1-19.  (Reprinted in Spanish as “George Pólya entrevistado en su nonagésimo compleaños" in Revista de Mathemática y Física 5 (1978), 1-8; in Bulgarian as Интервю Дьорд Пойа in Математиқа in  (Sofia) 28, no. 10 (1989),      8-12.)

7.   (with A. P. Hillman and L. F. Klosinski)  The William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 86 (1979), 168-175.

8.   An interview with Morris Kline, Part I, Two-Year College Math. J. 10 (1979), 172-178. (Reprinted in Spanish as “Una entrevista con Morris Kline" in Matemática Enseñanza Universitária 18 (1981), 28-40.)

9.   (with K. Seydel)  A = 3r2 , Calif. Math. 4 (2) (1979), 10-11.

10.  An interview with Morris Kline, Part II, Two-Year College Math. J. 10 (1979), 259-264. (Reprinted in Spanish as “Una entrevista con Morris Kline" in Matemática Enseñanza Universitária 18 (1981), 40-49.)

11.  (with L. F. Klosinski and A. P. Hillman)  The William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 86 (1979), 749-757.

12.  An interview with Constance Reid, Two-Year College Math. J. 11 (1980), 226-238. (Reprinted in Portuguese as “Uma entrevista com Constance Reid" in Noticiário Sociedade Brasileira de Matemática 12 (1981), 21-35.)

13.  (with L. F. Klosinski and A. P. Hillman)  The William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 87 (1980), 634-640.

14.  George Pólya, in Teaching Teachers, Teaching Students:  Reflections on the Fourth International Congress in Mathematical Education, D. J. Albers and L. A. Steen, eds., Boston, Birkhäuser, 1981, pp. 71-76.

15.  Bibliography, in Mathematical Discovery by George Pólya, (Combined Edition), New York, John Wiley & Sons,1981. [MR 0624067]

16.  (with L. F. Klosinski and A. P. Hillman)  The William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 88 (1981), 605-612.

17.  An interview with Paul Erdõs, Two-Year College Math. J. 12 (1981), 249-259.

18.  (with L. F. Klosinski)  On the value of mathematics (books), Math. Mag. 55 (1982), 98-103. [MR 0647104]

19.  On mathematical monuments, or the mathematician's Baedeker, Calif. Math. 7 (1982), 3-11.

20.  (with L. F. Klosinski and A. P. Hillman)  The William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 89 (1982), 679-686.

21.  (with Carroll Wilde)  A conversation with Garrett Birkhoff, aTwo-Year College Math. J. 14 (1983), 126-145.

22.  Ars expositionis:  Euler as writer and teacher, Math. Mag. 56 (1983), 274-278. [MR 0720647; Zbl 0525.01006]

23.  Euler glossary, Math. Mag. 56 (1983), 316-325. [Zbl 0528.01010]

24.  (with L. F. Klosinski and A. P. Hillman)  The William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 90 (1983), 546-553.

25.  A glimpse of the Pólya picture album, Two-Year College Math. J. 14 (1983), 274-294.

26.  (with L. F. Klosinski and A. P. Hillman)  The William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 91 (1984), 487-495.

27.  (with Jean Pedersen)  George Pólya/His life and work, Oregon Math. Teacher (January-February, 1985), 5-l2.  (Reprinted in Hungarian as “Pólya György élete és munkássága" in Mat. Lapok 33 (1986), 225-233 [MR 0954334]; in Catalan as “Qui és...?  George Pólya: la seva vida i el seu treball," in L'Escaire  15 (1986), 46-55; and in Bulgarian in Математиқа.) [Zbl 0646.01018]           

28.  (with D. J. Albers)  What makes famous mathematicians tick?  SIAM News 18 (1985), 7.

29.  (with L. F. Klosinski and L. C. Larson)  The William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 92 (1985), 560-567.

30.  (with L. F. Klosinski and L. C. Larson)  The William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 93 (1986), 620-626.

31.  Pólya & Szegõ/Egy legendás egyûttmukõdés, Magyar Tudomány 94 (New Series 32) (3), (1987), 235-242.

32.  George Pólya, Teacher, in Teaching and Learning:  A Problem Solving Focus (Frances R. Curcio, ed.), Reston, VA,  National Council of Teachers of Mathematics, 1987, pp. 17-26.

33.  (with L. F. Klosinski and L. C. Larson)  The William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 94 (1987), 747-756.

34.  (with L. H. Lange)  George Pólya,. Bull. London Math. Soc.19 (6) no. 81 (1987), 559-608. [MR 0915433; Zbl 0611.01012]

35.  Award for Distinguished Service to Professor Murray Klamkin, Amer. Math Monthly 95 (1988), 1-4. [MR 0935426]

36.  (with L. F. Klosinski and L. C. Larson)  The William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 95 (1988), 717-727.

37.  A Conversation with Saunders Mac Lane, College Math. J. 20 (1989), 2-26. [MR 0979840; Zbl 0995.01520]

38.  (with L. F. Klosinski and L. C. Larson)  The William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 96 (1989), 688-695.

39.  (with D. J. Albers)  A Conversation with Robin Wilson, College Math. J. 21 (1990), 178-195. [MR1070634; Zbl 0995.01521; Zbl 0806.01029]

40.  MAA's 75th Anniversary, FOCUS 10 (1) (1990),  1-3.

41.  (with L. F. Klosinski and L. C. Larson)  The Fiftieth William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 98 (1991), 319-327. [MR 1541885]

42.  (with D. J. Albers) A Conversation with Ivan Niven, College Math. J. 22 (1991), 370-405.

43.  Reflections of a Department Chair, in Paul Halmos:  Celebrating Fifty Years of Mathematics, edited by John H. Ewing and F. W. Gehring, New York, Springer-Verlag, 1991. [Zbl 0784.01050]

44.  (with L. F. Klosinski and L. C. Larson)  The Fifty-first William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 98 (1991), 719-727. [MR 1541065]

45.  A Conversation with Leon Bankoff, College Math. J. 23 (1992), 98-117.

46.  (with L. F. Klosinski and L. C. Larson)  The Fifty-second William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 99 (1992), 715-724. [MR 1542186]

47.  (with D. J. Albers)  A Conversation with Richard K. Guy, College Math. J. 24 (1993), 122-148.

48.  (with L. F. Klosinski and L. C. Larson)  The Fifty-third William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 100 (1993), 755-767. [MR 1542405]

49.  (with L. F. Klosinski and L. C. Larson)  The Fifty-fourth William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 101 (1994), 725-734. [MR 1542575]

50.  (with L. F. Klosinski and L. C. Larson) The Fifty-fifth William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 102 (1995), 675-684. [MR 1542729]

51.  (with L. F. Klosinski and L. C. Larson) The Fifty-sixth William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 103 (1996), 665-677. [MR 1542882]

52.  Paul Erdõs, 1913-96, Math. Mag. 69 (1996), 395-396.

53.  (with L. F.Klosinski and L. C. Larson) The Fifty-seventh William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 104 (1997), 744-754. [MR 1543074]

54.  (with L. F. Klosinski and L. C. Larson) The Fifty-eighth William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 105 (1998), 744-755. [MR 1543133]

55.  Angus Taylor/Influential author and judicious administrator, dead at 87, FOCUS 19 (1999), 10.

56.  (with Kenneth A. Ross) Ivan Niven dies at 83. FOCUS 19 (1999), 3, 7.

57.  (with L. F. Klosinski and L. C. Larson) The Fifty-ninth William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 106 (1999), 842-849. [MR 1543543]

58.  (with L. F. Klosinski and L. C. Larson) The Sixtieth William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 107 (2000), 721-732. [MR 1543730]

59.  "Pascal's Triangle," Encyclopedia of Mathematics Education, New York, RoutledgeFalmer, 2001, pp. 531-532.

60. "Combinatorics," Encyclopedia of Mathematics Education, New York, RoutledgeFalmer, 2001, pp. 120-122.

61.  "Congresses," Encyclopedia of Mathematics Education, New York, RoutledgeFalmer, 2001, pp. 141-142.

62.  (with L. F. Klosinski and L. C. Larson) The Sixty-first William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 108 (2001), 841-50. [MR 1543943]

63.  A Condensed Biography of Howard Eves. In Mathematical Reminiscences by Howard Eves, Washington, Mathematical Association of America, 2001, pp. 181-182. [MR 1874375]

64.  Osserman Interviews David Auburn, Author of Proof, FOCUS 22:2 (2002), 6-7.

65.  (with L. F. Klosinski and L. C. Larson) The Sixty-second William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 109 (2002), 827-839.

66.  Remembering Henry L. Alder (1922-2002), FOCUS 23, no. 1 (January 2003), pp. 4-6.

67. Major Donation Announced for New MAA Conference Center, FOCUS 23, no. 2 (February 2003), 3-5.

68.  (with L. F. Klosinski) Mathematical Visiting Cards, Math. Intelligencer 25 (4) (2003), 45-52. [MR 2012562]

69.  (with L. F. Klosinski and L. C. Larson) The Sixty-third William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 110 (2003), 718-726.

70.  (with L. F. Klosinski and L. C. Larson) The Sixty-fourth William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 111 (2004), 680-690.

71.  How Putnam Fellows View the Competition, FOCUS 24, no. 9 (December 2004), 14-15.

72.  (with Peter Ross) Twentieth-century Gems from Mathematics Magazine, Math. Mag. 78 (2004), 110-123.

73.  Preface, in Mathematical Adventures for Students and Amateurs, Tatiana Shubin and David F. Hayes, eds.. Washington, Mathematical Association of America, 2004, pp. v-vi.[MR 2085842]

74.  (with L. F. Klosinski) Mathematicians and Old Books, Math. Intelligencer 27:2 (2005),70-79. [MR 2156536]

75.   (with L. F. Klosinski and L. C. Larson) The Sixty-fifth William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 112 (2005), 713-725.

76.   Don Albers Will Step Down as Director of Publications, FOCUS 25:9 (2005), 4-5.

77.  (with L. F. Klosinski and L. C. Larson) The Sixty-sixth William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 113 (2006), 733-743.

78.  Paul Halmos (1916-2006), FOCUS 26:8 (2006), 4.

79.  (with M. Caradonna and L. F. Klosinski) The Mathematical Traveler. Math Intelligencer 29:3 (2007), 47-54.

80.  (with L. F. Klosinski and L. C. Larson) The Sixty-seventh William Lowell Putnam Mathematical Competition, Amer. Math. Monthly 114:8 (2007), 714-724..

81.  Halmos Endowment Fund for the Carriage House, FOCUS 28:3 (2008), 4-5.

82.  James Joseph Sylvester's Spring’s Début, Bull. Amer. Math. Soc. 45:3 (2008), 429-433.

83.  (with L. F. Klosinski and Loren C. Larson) The Sixty-eighth William Lowell Putnam Mathematical Competition. Amer. Math. Monthly 115 (2008), 729-739. (In Chinese in Mathematical Beauty (Academia Sinica) 4 (2008), 365-372).

84.  Christopher Clavius, Astronomer and Mathematician, Bull. Amer. Math. Soc. 46:4 (2009), 669-671.

85.  (with L. F. Klosinski and L. C. Larson) The Sixty-ninth William Lowell Putnam Mathematical Competition, Amer. Math. Monthly (to appear).