Even mathematics is a "language" that states propositions and tells stories.
It's a very elaborate form of "play" language. That's why it's such fun for
those who speak it well. Richard Mitchell, "Less than words
The goal of higher education is to
seduce students into a love of learning.
Barbara Lazear Ascher
Universities should not be brokers of the contemporary.
The purpose of education is to open the remote past to the
students, so they can learn from the voluminous human
record of mistakes and triumphs.
One does not understand a mathematical proposition merely by proving it true.
That is why there are such things as mathematical lectures rather than just lists of
limits (Beamer presentation 29 August 2019)
first 101 interesting numbers
Department of Mathematics,
Florida Atlantic University,
New Mexico State University,
1971. (AP 1966, aP 1963)
- PhD, University of Chicago, 1963 (Irving Kaplansky).
- AB, Princeton University, 1958.
Abelian group theory, commutative rings, and
Confessions of a formalist, Platonist intuitionist
for a brief automathography.
- Laurent series over R,
Communications in Algebra, (2020)
- When R(X) and R<X> are clean: a constructive treatment,
Communications in Algebra, 43 (2015), 1-5, (with Warren Wm. McGovern)
- Walker groups,
Periodica Mathematica Hungarica, 69 (2014), 61-68
- Walker's cancellation theorem,
Communications in Algebra, 42 (2014), 1644-1649, (with Robert Lubarsky)
- A theorem of Gilmer and the canonical universal splitting ring,
Journal of Commutative Algebra, 6 (2014), 101-108
- A constructive theory of minimal zero-dimensional extensions,
Journal of Commutative Algebra, 5 (2013), 545-566
- The Kripke schema in metric topology,
Math. Logic Quarterly, 58 (2012), 498-501, (with Robert Lubarsky and Peter Schuster)
- Minimal zero-dimensional extensions of rings of dimension greater than one,
Communications in Algebra,, 40 (2012), 3792-3800, (with Marcela Chiorescu)
- Algebraic functions, calculus style,
Communications in Algebra, 40 (2012), 2671-2683
An introductory modern algebra text
A skeptical look at this perennial problem.
A poem about the
uncountability of the real numbers.
A proposal to eliminate countable
choice from constructive mathematics.
Links to my scripts on various mathematical topics.
Department of Mathematics
Florida Atlantic University
Boca Raton, Florida 33431-0991
Latitude 26 22 15 North, Longitude 80 6 10 West.
Last modified 14 January 2020.