Publications

  1. The geometry of Banach spaces and reflexivity, Churchill Scholarship project, Cambridge University, 1977.
  2. Weak Radon-Nikodym sets in conjugate Banach spaces, Measure Theory and Applications, G.A. Goldin and R.F. Wheeler, eds., Dekalb, Illinois, 1981.
  3. Martingales and the fine line between Asplund spaces and spaces not containing a copy of l1 (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]
  4. Ph.D. Thesis, University of Illinois, 1982
  5. The geometry of weak Radon-Nikodym sets in dual Banach spaces, Proc. Amer. Math. Soc. 86 (1982), 433-438.
  6. Sets with the weak Radon-Nikodym property (with E. Saab and J. J. Uhl, Jr.), Indiana U. Math. J. 32 (1983), 527-542.
  7. Dunford-Pettis operators and weak Radon-Nikodym sets, Proc. Amer. Math. Soc. 91 (1984), 254-256.
  8. On functions that are universally Pettis integrable (with E. Saab), Illinois J. Math. 29 (1985), 509-531. [MathSciNet Review]
  9. 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.
  10. An application of Edgar's Banach space ordering, Analysis at Urbana II, London Math. Soc. Lecture Note Series 138 (1989), 275-293. [MathSciNet Review]
  11. Nearly representable operators (with R. Kaufman, M. Petrakis and J. J. Uhl, Jr.), Trans. Amer. Math. Soc. 312 (1989), 315-333.
  12. Rearrangements of the alternating harmonic series, Kenyon Mathematics Quarterly 1, no. 2 (1990), 6-21.
  13. 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.
  14. An occurrence of the ballot numbers in operator theory, Amer. Math. Monthly 98 (1991), 613-617.
  15. Plot, The Notices of the American Mathematical Society 38 (November 1991), 1138-1140.
  16. A Precalculus Crossmath Puzzle, Mathematics Teacher 85 (1992), 540.
  17. PSMathGraphsII Version 1.1 (with Tom Scavo), The Notices of the American Mathematical Society 39 (November 1992), 1075-1076.
  18. Population Models with Mutualism (with Francis Hannick, Andris Niedra, Lynn Olson, Leonard Putnick, Carl Schoen, and Willis Tebbs), FAIM Module, COMAP, October, 1993.
  19. GyroGraphics, version 4, The Notices of the American Mathematical Society 40 (April 1993), 332-334.
  20. Introducing the Derivative through the Iteration of Linear Functions, The Mathematics Teacher, vol. 87, (May 1994), 377-381.
  21. More Reflections on Inflections, The Mathematics Teacher, vol. 87, no. 6, (September 1994), 478-79.
  22. TEMath (Tools for Exploring Mathematics), The Notices of the American Mathematical Society 41 (November 1994), 931-933.
  23. Individualized Computer Investigations for Multivariable Calculus, College Math. Journal, 26, No.3, (May 1995), 235-237.
  24. Symbolic and Graphical Investigations of Riemann Sums with a Computer Algebra System, PRIMUS, VI, No. 4 (December 1996), 366-380. (Maple Example | Maple Worksheet)
  25. 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).
  26. Arc Length Contest, College Mathematics Journal, 29, No. 4 (September 1998), 314-320.
  27. Carl Louis Ferdinand von Lindemann, in Notable Mathematicians, Robyn V. Young, Editor, Gale Research, 1998, p316-317.
  28. Biographies of Women Mathematicians, http://www.agnesscott.edu/lriddle/women/women.htm
  29. Classic Iterated Function Systems, http://ecademy.agnesscott.edu/~lriddle/ifs/ifs.htm, 1999
  30. Sophie Germain and Fermat's Last Theorem, http://www.agnesscott.edu/lriddle/women/germain-FLT/SGandFLT.htm, 2001
  31. Women in Mathematics, AP Central (College Board), March 2001, http://apcentral.collegeboard.com [free registration required]
  32. IFS Construction Kit, http://ecademy.agnesscott.edu/~lriddle/ifskit, 2004. Windows software for creating and investigating iterated function systems, with accompanying help file.
  33. 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.
  34. AP Questions involving Approximations, in AP Calculus Special Focus Materials for Professional Development: Approximations, The College Board, 2007
  35. The Domain of Solutions to Differential Equations, AP Central (College Board), October 2007, http://apcentral.collegeboard.com
  36. Approximating the Sum of Convergent Series, in AP Calculus Special Focus Materials for Professional Development: Infinite Series, The College Board, 2008, 93-102.
  37. A Calculus Student Reads the Newspaper, AP Central (College Board), June 2008, http://apcentral.collegeboard.com
  38. The Shape of a Symmetric Binary Tree, website, 2014, https://larryriddle.agnesscott.org/ifs/pythagorean/symbinarytreeShape.htm [pdf version]
  39. 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

  1. SierTriThumb "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.
    https://gallery.bridgesmathart.org/exhibitions/2011-joint-mathematics-meetings/mathriddle
  2. pythtreeThumb "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.
    https://gallery.bridgesmathart.org/exhibitions/2012-joint-mathematics-meetings/mathriddle
  3. Showing, Thinking 2013 Exhibition. Dalton Gallery, Agnes Scott College, February 8-March 8, 2013.
     
  4. spacing filling thmb "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.
    https://gallery.bridgesmathart.org/exhibitions/2015-joint-mathematics-meetings/mathriddle
  5. "Constellations, Fractals, and Antique Glassware: Exploring Patterns in Science and Math," Atlanta Science Festival, Agnes Scott College, March 23- March 27, 2015.
     
  6. tapestry outside thumbtapestry inside thumb "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.
    https://gallery.bridgesmathart.org/exhibitions/2016-joint-mathematics-meetings/mathriddle
  7. Twindragon tiling thumbHeighway dragons thumb "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. https://gallery.bridgesmathart.org/exhibitions/2017-joint-mathematics-meetings/mathriddle
  8. Pythagorean thumbDragon lace thumb "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. https://gallery.bridgesmathart.org/exhibitions/2019-joint-mathematics-meetings/mathriddle
  9. divide9 thumb "Right Triangle Divided by Nine", 20" x 16" counted cross-stitch embroidery, exhibited at the 2021 Joint Mathematics Meeting Exhibition of Mathematical Art, January 2021, Virtual. https://gallery.bridgesmathart.org/exhibitions/2021-joint-mathematics-meetings/mathriddle
  10. 313 thumb214 thumb "Tilings of Sierpinski Relative Fractals", 12.5" x 12.5" counted cross-stitch embroidery, exhibited at the Juried Exhibit accompanying the 2023 AMS Special Session on Mathematics and Fiber Arts at the 2023 Joint Mathematics Meeting, January 2023, Boston, MA. http://www.toroidalsnark.net/mkss4-pix/larry-riddle.html
  11. frieze thumb "Sierpinski Relative Friezes", 16" x 12" counted cross-stitch embroidery, exhibited at the 2024 Joint Mathematics Meeting Exhibition of Mathematical Art, January 2024, San Francisco, CA. https://gallery.bridgesmathart.org/exhibitions/2024-joint-mathematics-meetings/larry-riddle

University of Illinois Graduate Notes (1977-1982)

  1. Banach Spaces
  2. Lp Spaces (p < 1)
  3. Martingales
  4. Measure Theory
  5. Ordered Banach Spaces (Banach Lattices)
  6. Spectral Theory
  7. Vector Measures

Last modified December 2023

Mathematics Department | Agnes Scott College