Refereed Research Publications
[1] "A Ring of Pythagorean Triples," Missouri Journal of
Mathematical Sciences 6 No. 2 (1994), pp. 72-77. (Mathematical
Reviews 96c:11031 )
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[2] "A Representing Function and the Somewhat Compact Representation
Property," Journal of Institute of Mathematics & Computer Sciences
(Mathematics Series) 7 No. 3 (1994), pp. 201-205. (MR 96i:46049; Zentralblatt 829.46008)
[3] "On Convergence of Conditional Expectation Operators," The Rocky Mountain Journal
of Mathematics 26 No. 2 (1996), pp. 585-592. (MR 97i:47057; Z
861.46028)
Abstract
Article
[4] "Lcorrespondences: The Inclusion L^p(\mu,X)\subset L^q(\nu,Y)," International
Journal of Mathematics and Mathematical Sciences 19 No. 4
(1996), pp. 723-726. (MR 97h:46053;
Z 863.46021)
Article
[5] "A Better Draft: Fair Division of the Talent Pool," College Mathematics Journal 28
No. 2 (March 1997), pp. 82-88. (MR 98a:90012)
Click here for Ivars Peterson's Math Land column about my drafting
method, an updated version of which appears in Peterson's new book Mathematical
Treks: From Surreal Numbers to Magic Circles
Click here
for the web supplement (about my drafting method) for the textbook Excursions
in Modern Mathematics, 3rd edition, by Tannenbaum
and Arnold.
[6] "A Student's Probability of Finding a Basis," Missouri Journal of
Mathematical Sciences 10 No. 1 (1998), pp. 37-40.
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[7] "Using Graphs to Analyze Sports Drafts," Missouri Journal of
Mathematical Sciences 11 No. 2 (1999), pp. 73-79.
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[8] "An Algorithmic Version of Kuhn's Lone-Divider Method of Fair Division,"
Missouri Journal of
Mathematical Sciences, 13 No. 3 (2001), pp. 172-177. (MR 2003a:91035)
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[9] "Pseudoresolvents in Banach
Algebras" (with Arpad Benyi),
Missouri Journal of
Mathematical Sciences 16 No.
3 (2004), pp. 168–172.
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[10] "Highway Relativity" (with
Reprint
This work (sans details) was reported by:
Discover
in its April 2005 issue, pp.
26–27
New Scientist in its January
19, 2002 issue, p. 11
MathTrek
(Science News Online) on March 16, 2002.
The talk at the joint meetings in
Additional Refereed
Publications
[11] "Pythagorean Triples and Their Mental Calculation,"
[12] "Digital Permutations" (remark), College Mathematics Journal 28
No. 1 (January 1997), p. 26.
[13] "The Geometer's Sketchpad and Classroom Activities" (with
Connie Schrock),
[14] "Twentieth Century Student Scholarship: Student Papers in The Pentagon," The Pentagon 60
No. 2 (Spring 2001), pp. 21-36.
[15] "The Senior Seminar in Mathematics at
Publications Under
Review
Chapters
[c1] "Fair Division," a chapter for the Companion
Website accompanying Blitzer's Thinking Mathematically, Prentice
Hall, 2000. Note: As a result of an unknown error, only the first portion of
the chapter currently appears on the website, instead of the complete chapter.
The publisher has been notified and is looking into the matter.
Non-Refereed
Publications
"Algebra Christmas Carol (to the tune of Jingle Bells)," The Pentagon 56
No. 1 (Fall 1996), p. 58. (Note: I was editor of the journal when this
appeared.)
"Ballad of the Octagon" (poem), The
Pentagon 56 No. 2 (Spring 1997), pp. 75-76. (Note: I was
editor of the journal when this appeared.)
e-mail: bdawson@uu.edu