Publications of C. Bryan Dawson


Books

[b1] Supplemental Mathematics for the Curious: Number Theory, Royal Fireworks Press, 2009

[b2] Supplemental Mathematics for the Curious: Number Systems, Royal Fireworks Press, 2009


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; Zentralblatt 1097.11527)
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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)

[3] "On Convergence of Conditional Expectation Operators," The Rocky Mountain Journal of Mathematics 26 No. 2 (1996), pp. 585-592. (MR 97i:47057)
Abstract and first page

[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)

[5] "A Better Draft: Fair Division of the Talent Pool," College Mathematics Journal 28 No. 2 (March 1997), pp. 82-88. (MR 98a:90012; Zbl 0995.91507)
Ivars Peterson  Math Land column about my drafting method, an updated version of which appears in Peterson's book Mathematical Treks: From Surreal Numbers to Magic Circles

[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. (MR1694270) (Zbl 1097.05506)
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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. (MR2003a:91035) (Zbl 1162.90541)

[9] "Pseudoresolvents in Banach Algebras" (with Arpad Benyi), Missouri Journal of Mathematical Sciences 16 No. 3 (2004), pp. 168–172. (Zbl 1097.46031)

[10] "Highway Relativity" (with Troy Riggs), College Mathematics Journal 35 No. 4 (September 2004), pp. 246–250.
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.


Additional Refereed Publications

[11] "Pythagorean Triples and Their Mental Calculation," Kansas Science Teacher 10 No. 1 (December 1993), pp. 31-32.

[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), Kansas Science Teacher 13 (Fall 1997-Spring 1998), pp. 3-10.

[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 Union University," PRIMUS 11 No. 3 (September 2001), pp. 228-234.


Publication in Conference Proceedings

[16] “Arithmetic Sequences, Diophantine Equations and the Number of the Beast,” Proceedings of the Seventeenth Conference of the Association of Christians in the Mathematical Sciences, 2009


Chapters

[c1] "Fair Division," a chapter for the Companion Website accompanying Blitzer's Thinking Mathematically, Prentice Hall, 2000. No longer available.


Non-Refereed Publications

[17] "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.)

[18] "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.)

[19] “The Lottery: A Tax on the Mathematically Ignorant,” Keep Tennessee Gambling Free: A Resource of the Baptist & Reflector, 2002, pp. 5 and 30
Union University press release archived version

[20]  “You May Be a Mathematician If … ,” Math Horizons, November 2002 p. 35 and April 2003 p. 8

 


Patents

[1] US Patent No. 8,398,501

[2] US Patent No. 8,827,843