Publications
The geometry of Banach spaces and reflexivity , Churchill Scholarship project, Cambridge University, 1977.
Weak Radon-Nikodym sets in conjugate Banach spaces, Measure Theory and
Applications, G.A. Goldin and R.F. Wheeler, eds., Dekalb, Illinois,
1981.
Martingales and the fine line between Asplund spaces and spaces not
containing a copy of l _{1} (with J. J. Uhl, Jr.), Martingale Theory in
Harmonic Analysis and Banach Spaces, Lecture Notes in Mathematics ,
Springer-Verlag, Berlin, 939 (1981),
145-156. [MathSciNet Review ]
Ph.D. Thesis, University of Illinois , 1982
The geometry of weak Radon-Nikodym sets in dual Banach spaces ,
Proc. Amer. Math. Soc. 86 (1982),
433-438.
Sets with the weak Radon-Nikodym property (with E. Saab and J. J. Uhl,
Jr.), Indiana U. Math. J. 32 (1983),
527-542.
Dunford-Pettis operators and weak Radon-Nikodym sets , Proc. Amer.
Math. Soc. 91 (1984),
254-256.
On functions that are universally Pettis integrable (with E. Saab), Illinois
J. Math. 29 (1985),
509-531. [MathSciNet Review ]
Probability models for tennis scoring systems , J. Royal Statistical
Soc, Series C (Applied Statistics) 37 , No. 1 (1988),
63-75.
Corrigendum: Probability models for tennis scoring systems ,
Applied Statistics , 37 , No. 3 (1988), 490.
An application of Edgar's Banach space ordering, Analysis at Urbana
II, London Math. Soc. Lecture Note Series 138 (1989),
275-293. [MathSciNet Review ]
Nearly representable operators (with R. Kaufman, M. Petrakis and J. J. Uhl, Jr.), Trans. Amer. Math. Soc. 312 (1989),
315-333.
Rearrangements of the alternating harmonic series , Kenyon
Mathematics Quarterly 1, no. 2 (1990),
6-21.
Iterating linear functions graphically-a precursor to the derivative
in precalculus, Proceedings of the 3rd International Conference on
Technology in Collegiate Mathematics , Ohio State University,
1990.
An occurrence of the ballot numbers in operator theory , Amer. Math.
Monthly 98 (1991),
613-617.
Plot, The Notices of the American Mathematical Society
38 (November 1991),
1138-1140.
A Precalculus Crossmath Puzzle ,
Mathematics Teacher 85 (1992), 540.
PSMathGraphsII Version 1.1 (with Tom Scavo), The Notices of the American
Mathematical Society 39 (November 1992),
1075-1076.
Population Models with Mutualism (with Francis Hannick, Andris Niedra,
Lynn Olson, Leonard Putnick, Carl Schoen, and Willis Tebbs), FAIM
Module , COMAP, October,
1993.
GyroGraphics, version 4, The Notices of the American Mathematical
Society 40 (April 1993), 332-334.
Introducing the Derivative through the Iteration of Linear Functions ,
The Mathematics Teacher, vol. 87, (May 1994),
377-381.
More Reflections on Inflections , The Mathematics Teacher, vol. 87, no. 6, (September 1994), 478-79.
TEMath (Tools for Exploring Mathematics), The Notices of the
American Mathematical Society 41 (November 1994),
931-933.
Individualized Computer Investigations
for Multivariable Calculus ,
College Math. Journal , 26 , No.3, (May 1995), 235-237.
Symbolic and Graphical Investigations of
Riemann Sums with a
Computer Algebra System ,
PRIMUS , VI , No. 4 (December 1996), 366-380.
(Maple Example |
Maple Worksheet )
ATLAST Computer Exercises for Linear Algebra, Edited by Steven Leon,
Eugene Herman,
and Richard Faulkenberry, Prentice Hall Publishing Co., 1996, p.27-29
(Symmetric and
Skew-Symmetric Matrices) and p. 168-174 (The SVD and Digital Image
Processing).
Arc Length Contest , College Mathematics
Journal, 29 , No. 4 (September 1998), 314-320.
Carl Louis Ferdinand von Lindemann, in Notable Mathematicians,
Robyn V. Young, Editor, Gale Research, 1998, p316-317.
Biographies of Women Mathematicians , http://www.agnesscott.edu/lriddle/women/women.htm
Classic Iterated Function Systems ,
http://ecademy.agnesscott.edu/~lriddle/ifs/ifs.htm, 1999
Sophie Germain and Fermat's Last Theorem , http://www.agnesscott.edu/lriddle/women/germain-FLT/SGandFLT.htm, 2001
Women in Mathematics , AP Central (College Board), March 2001, http://apcentral.collegeboard.com [free registration required]
IFS Construction Kit , http://ecademy.agnesscott.edu/~lriddle/ifskit, 2004. Windows software for creating and investigating iterated function systems, with accompanying help file.
Using the Fundamental Theorem of Calculus in a Variety of AP Questions, in AP Calculus Special Focus Materials for Professional Development: The Fundamental Theorem of Calculus , The College Board, 2005, 78-98.
AP Questions involving Approximations, in AP Calculus Special Focus Materials for Professional Development: Approximations , The College Board, 2007
The Domain of Solutions to Differential Equations , AP Central (College Board), October 2007, http://apcentral.collegeboard.com
Approximating the Sum of Convergent Series, in AP Calculus Special Focus Materials for Professional Development: Infinite Series , The College Board, 2008, 93-102.
A Calculus Student Reads the Newspaper , AP Central (College Board), June 2008, http://apcentral.collegeboard.com
The Shape of a Symmetric Binary Tree, website, 2014,
https://larryriddle.agnesscott.org/ifs/pythagorean/symbinarytreeShape.htm [pdf version ]
Creating Symmetric Fractals , Math Horizons, Vol. 24, No. 2 (November
2016 ), 18-21 (artwork also used on the cover). Reprinted in The Best Writings on Mathematics 2017 , Mircea Pitici, Editor, Princeton University Press.
Mathematical Art Exhibits
"Sierpinski Theme and Variations", 12"x12" counted cross stitch design, exhibited at the 2011 Joint Mathematics Meeting Exhibition of Mathematical Art. Selected for the 2012 Calendar of Mathematical Imagery (November) from the American Mathematical Society.http://ams.org/mathimagery/displayimage.php?album=28&pos=40 or http://www.ams.org/samplings/2012-calendar
"Pythagorean Tree," 16"x20" digital print, exhibited at the 2012 Joint Mathematics Meeting Exhibition of Mathematical Art, January 2012, Boston, MA. Selected for the 2014 Calendar of Mathematical Imagery (May) from the American Mathematical Society.
http://www.ams.org/mathimagery/displayimage.php?album=32&pid=439 or http://www.ams.org/samplings/2014-calendar .
Showing, Thinking 2013 Exhibition. Dalton Gallery, Agnes Scott College, February 8-March 8, 2013.
"Space Filling Curve," 12.5"x12.5" back stitch design, exhibited at the 2015 Joint Mathematics Meeting Exhibition of Mathematical Art, January 2015, San Antonio, TX.
http://gallery.bridgesmathart.org/exhibitions/2015-joint-mathematics-meetings/mathriddle
"Constellations, Fractals, and Antique Glassware: Exploring Patterns in
Science and Math," Atlanta Science Festival, Agnes Scott College, March 23-
March 27, 2015.
"Levy Dragon Inside Tapestry" and "Levy Dragon Outside Tapestry," 12.5"x12.5" back stitch designs, exhibited at the 2016 Joint Mathematics Meeting Exhibition of Mathematical Art, January 2016, Seattle, WA.
http://gallery.bridgesmathart.org/exhibitions/2016-joint-mathematics-meetings/mathriddle
"Heighway Dragon Tiling" and "Twindragon Tiling", 10" x 10" cross-stitch embroidery, exhibited at the 2017 Joint Mathematics Meeting Exhibition of Mathematical Art, January 2017, Atlanta, GA. http://gallery.bridgesmathart.org/exhibitions/2017-joint-mathematics-meetings/mathriddle
"Dragon Curve Lace" and "Pythagorean Tree", 11" x 14" cross-stitch embroidery, exhibited at the 2019 Joint Mathematics Meeting Exhibition of Mathematical Art, January 2019, Baltimore, MD. http://gallery.bridgesmathart.org/exhibitions/2019-joint-mathematics-meetings/mathriddle
University of Illinois Graduate Notes (1977-1982)
Banach Spaces
L_{p} Spaces (p < 1)
Martingales
Measure Theory
Ordered Banach Spaces (Banach Lattices)
Spectral Theory
Vector Measures
Last modified July 2022
Mathematics Department | Agnes Scott College