**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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format

[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**