Selected publications - Rick Kreminski
Selected publications of Rick Kreminski

  1. "Visualizing the Hopf fibration", Mathematica in Education and Research, volume 6, number 1 (1997), pages 9-14. Some materials are available here. The original article can be obtained from me directly.
  2. Cover color graphic of the Notices of the American Mathematical Society, along with a paragraph About the cover, volume 44, number 5 (May, 1997); title caption: "SO(3) and the Hopf fibration"; it was surprisingly one of nine covers to be reprinted as the cover of volume 52, number 1 (January 2005).
  3. "Using Simpson's rule to approximate sums of infinite series", The College Mathematics Journal, volume 28, number 5 (1997), pages 368-376.
  4. "Differentiating among infinite series", Mathematics Magazine, volume 71, number 1 (1998), pages 42-50.
  5. "Fun Fractions?! You've got to be kidding!", Mathematics Teacher, volume 91, number 7 (1998), pages 572-575.
  6. "Estimating logarithms with college algebra students", International Journal of Mathematical Education in Science and Technology, volume 30, number 2 (1999), pages 197-206. This link may be active.
  7. "Graphs and matrices in the study of (finite) topological spaces", Missouri Journal of Mathematical Sciences, volume 12, number 2 (2000), pages 96-121.
  8. "Simpson's rule for estimating n! (and proving Stirling's formula, almost)", International Journal of Mathematical Education in Science and Technology, volume 32, number 3 (2001), pages 466 - 475. This link may be active.
  9. "Newton-Cotes integration for approximating Stieltjes (generalized Euler) constants", in Mathematics of Computation, volume 72 (2003), pages 1379-1397.
  10. Applied Abstract Algebra, a book at the advanced undergraduate/beginning graduate level, coauthored with David Joyner and Joann Turisco (both at USNA), was published in late summer 2004 by Johns Hopkins University Press. Web support is available.
  11. "Simpson's rule", invited article in Encyclopedia of Measurement and Statistics, Neil Salkind editor, Sage Publications (2007), Thousand Oaks, CA.
  12. "Pi to thousands of digits from Vieta's formula", Mathematics Magazine, volume 81, number 3 (2008), pages 201-207.

    Preprint available for "Taylor's theorem with remainder: the elusive 'c' is not so elusive" (submitted to the College Mathematics Journal); "Visualizing the chain rule (for functions over R and C) and more" (accepted by the International Journal of Mathematical Education in Science and Technology March 2008; proofs not yet requested); "SO(3) in pictures: a good example of lots of things" (possibly to be submitted to the Journal of Online Mathematics). Work in progress includes work on a generalized secant method, on numerical differentiation via the Dirac delta function and numerical integration, on mathematical modeling of ecosystems, and on using random points to aid in plotting graphs of functions f: R2-->R.