David J. Pengelley
Professor
Department
of Mathematical Sciences
New
Mexico State University
Las Cruces, NM 88003, USA
505-646-2723, 505-646-1064 (FAX)
davidp@nmsu.edu
My home pages are under development. Here's my detailed
vita, which lists all my publications.
At the Hopf Topology Archive
you will find preprints of some of my papers in algebraic topology:
Stabilizing the lower operations for mod 2 cohomology (with T.
Bisson and
F. Williams)
Sheared algebra maps and operation bialgebras for mod 2 homology and
cohomology
(with F. Williams)
A global structure theorem for the mod 2 Dickson algebras, and unstable
cyclic modules over the Steenrod and Kudo-Araki-May algebras (with F.
Peterson
and F. Williams)
The global structure of odd-primary Dickson algebras as algebras over
the
Steenrod algebra (with F. Williams)
And here is a preprint of The odd-primary
Kudo-Araki-May algebra of algebraic Steenrod operations, and invariant
theory
I have extensive web material on
Teaching with Original
Historical
Sources in Mathematics, which includes web versions of quite a
number
of my joint publications in this area.
Here are some thoughts about the classroom
dynamics of teaching.
Original source materials:
Excerpts
on the Euler-Maclaurin summation formula, from Institutiones Calculi
Differentialis
by
Leonhard
Euler (pdf format), or in (dvi
format).
Excerpt from a
letter of Monsieur Lame to Monsieur Liouville on the question: Given a
convex polygon, in how many ways can one partition it into triangles by
mean of diagonals?: Lame's elegant geometric solution to finding
the
one step recursion relation solving Euler's decomposition problem,
leading
to the factorial formula for Catalan numbers.
More papers:
The bridge
between
the continuous and the discrete via original sources
A
graduate
course on the role of history in teaching mathematics
Dances
between
continuous and discrete: Euler's summation formula (pdf) or (dvi)
Arthur
Cayley and
the
first paper on group theory (appeared in "Using recent history of
mathematics in teaching mathematics", ed. Amy Shell et al, MAA Notes
Series,
Mathematical Association of America)
Did Euclid
need
the Euclidean algorithm to prove unique
factorization?
"Voici ce
que
j'ai trouvé": Sophie Germain's grand plan to prove Fermat's Last
Theorem (and a flowchart
of the big picture)
OK, here's a photo
taken at the 1999 Boulder conference on homotopy theory. On the
left
is Italian algebraic topologist Luciano Lomonaco, on the right is me.
You might find another photo of me playing badminton
at NMSU.
Page maintained by David Pengelley, davidp@nmsu.edu
Last revised on March 6, 2008.
