PUBLICATIONS

"**Efficient Recurrence Relations for Univariate and Multivariate Taylor Series Coefficients**"

accepted for *Dynamical Systems and Differential Equations, DCDS Supplement 2013, Proceedings of the 9th AIMS International Conference
* pdf preprint

"**A Classroom Note: Newton’s Method Doubles Digit Improvement**"

revised 2013 for *Mathematics and Computer Education* pdf preprint

"**Multivariable Interpolating Polynomials in Newton Forms**"

pdf preprint 5/30/12, latest revision for *Mathematics Magazine* (originally submitted 2/24/09);

presentation at Joint Math Meetings Jan. 2009.

"**Introduction
to Automatic Differentiation and MATLAB OOP**"

*SIAM Review*, Vol. 52, No. 3, pp. 545-563, Sept. 2010 pdf file.

zip file of accompanying MATLAB
m-files.

For MATLAB versions prior to release 2008a, here are older m-files.

"**Letter
to the Editor: Archimedes, Taylor, and Richardson**"

*Mathematics Magazine*, Vol. 82, No. 1, February 2009, p. 41. pdf preprint

"**Problem
200. A Spherical Average**" (characterization of one radian)

*Math Horizons*, Vol. 14, September 2006, pp. 41-42 (proposed in Vol. 13,
February 2006, p. 33).

"**Directions
for Computing Truncated Multivariate Taylor Series**"

*Mathematics of Computation*, Vol. 74, No. 249, January 2005, pp. 321-340. article
and MATLAB implementation

"**Series
as a Computational Differentiation Tool**"

*Mathematica in Education and Research*, Vol. 9, No. 2, 2000, pp.
5-14. Mathematica
Info. Center download

"**Sample
Calculus**" with Walter G. Spunde,

*Mathematics Magazine*, Vol. 72, No. 3, June 1999, pp. 171-182. web supplement.

"**Infinite
Series Supplement for a Differential Equations Course**" with Donna K.
Molinek,

Davidson College course pack, first version 1999, latest
version November 2008 pdf file.

"**Mathematica
Notebooks for ATLAST**"

download from the ATLAST home
page (Augmenting the Teaching of Linear Algebra through the use of Software
Tools), posted June 1998. Also, in Mathematica
Info. Center. These notebooks accompany the book *ATLAST Computer
Exercises for Linear Algebra*.

"**Programming
Paradigms via Mathematica**" with Todd G. Will and John R. Swallow,

in Mathematica
Info. Center, originally posted 1998 as Mathematica 2.2 notebooks, later
updated to 4.0 notebooks, with contributions by Stephen L. Davis.

"**The
Road to Chaos is Filled with Polynomial Curves**" with R. John Annen
III,

*American Mathematical Monthly*, Vol. 103, No. 8, October
1996, pp. 640-653. web supplement.

"**Recursive
Algorithms for IFS Fractals**"

*Mathematics and Computer Education*, Vol. 30, No. 1, Winter
1996, pp. 83-100.

"**Computing
Multivariable Taylor Series to Arbitrary Order**"

APL95 Conference Proceedings, *APL Quote Quad*, Vol.
25, No. 4, June 1995, pp. 134-144. link

"**Neural
Networks from Idea to Implementation**" with Kenneth M. Lane,

*APL Quote Quad*, Vol. 25, No. 3, March 1995, pp. 27-37.

"**Array-Oriented
Programming in Education**"

*APL Quote Quad*, Vol. 24, No. 2, December 1993, pages 17-18.

"**Differential
Equations are Recurrence Relations in APL**"

APL92 Conference Proceedings, *APL Quote Quad*, Vol.
23, No. 1, July 1992, pp. 165-174.

"**An
Efficient Method for the Numerical Evaluation of Partial Derivatives of
Arbitrary Order**"

*ACM Transactions on Mathematical Software*, Vol. 18, No. 2, June 1992,
pp. 159-173.

"**An
APL Approach to Differential Calculus Yields a Powerful Tool**"

APL89 Conference Proceedings, *APL Quote Quad*, Vol.
19, No. 4, August 1989, pp. 285-288.

"**Automatic
Differentiation and APL**"

*College Mathematics Journal*, Vol. 20, No. 3, May 1989,
pp. 238-251.

"**Survey
on Preparation for Graduate School**"

*FOCUS*,
newsletter of the MAA, Vol. 8, No. 4, September, 1988.

"**Concepts
in the real interpolation of Banach spaces**"

*Functional Analysis*, Lecture Notes in Mathematics, 1332, Springer-Verlag, New
York, 1988, pp. 43-53.

"**Factoring
operators through hereditarily-lp spaces**"

*Banach Spaces*, Lecture Notes in Mathematics, 1166, Springer-Verlag, New
York, 1985, 116-128.

"**Norm-attainment
of linear functionals and characterizations of Tauberian operators**"
with H. P. Rosenthal,

*Pacific Journal of Mathematics*, Vol. 118, 1985, pp.
215-228.

"**Schachermayer's
result concerning RNP and KMP equivalence**"

*Longhorn Notes*, 1983-84, pp. 111-123.

"**Characterizing
Tauberian operators by closed images**" with H. P. Rosenthal,

*Longhorn Notes*, 1982-83, pp. 211-221.

Last updated on June 19, 2013.