2017 (January 4)
The Leibniz Catenary Construction: Geometry vs Analysis in the 17th
Century, an invited talk for the Special Session on the History
of Mathematics at JMM 17 in Atlanta.
In my talk of July 6, I stated Lebiniz never explained how
he derived his construction, but this is incorrect: see
2016 (July 6) Talk for RIPS Program at IPAM:
How did Leibniz Solve the
Catenary Problem? A Mystery Story.
Not such a mystery after all! Leibniz explained his
solution in a private letter to Bodenhausen of 1691 noted in the talk of Jan
This talk sets forth an independent solution that
demonstrates directly how the hyperbolic functions can be discovered at the
heart of the catenary problem.
Previous Invited Talks
2014 A straightforward
technique using integration to derive the Bernoulli Summation
Formula, for the 29th LACC High School Math Contest, March 22.
2013 The Real
Numbers are Not Real:, The Innumerable Infinities
of Georg Cantor, March 16 at Los Angeles City College Math Contest.
Also presented to UNM Math & Stats Club on 3/8/2013.
See the related Problematic
Four Bugs Problem—Or Reality vs the Continuum.
New Mexico Math Contest of
Archimedes' Law of the Lever and How He Used it to Deduce
the Volume of the Sphere:
(Repeated at Agilent Technologies Inc in Santa Clara at request of
Geront Owen, 8/12/2013)
was on Top of Archimedes' Tomb?, Mar 2 at 27th
Los Angeles City College Math Contest (abreviated
version of the New Mexico Math Contest talk)
Innkeeper's Problem and Tale
of pi, with companion notes on Transcendentality
2008 How do
you know what time it is?
2007 Hey, who really discovered that theorem!
2006 Eigenvalues and Eigenvectors, a chalk talk, first talk in a series
for the Los Angeles City College High School Math Contest
2001–2015 Institute for Pure and Applied
Mathematics (IPAM) at UCLA
On August 21, 2015 I concluded my fifteenth and final summer as director
of the RIPS program at IPAM, a
National Science Foundation's institute located at UCLA.
–Program director for Research in Industrial Projects for Students (RIPS)
I worked with IPAM
staff and the late Robert Borrelli of Harvey Mudd College to
create the RIPS program in 2001, and then to continue developing the
program over the fifteen summers of my directorship.
I enjoyed working with the many students and academic mentors who
participated in RIPS over all those years.
My approach to
managing the RIPS program,
was presented to the panel Starting
and maintaining a student industrial research progam in
the mathematical sciences at the MAA's MathFest of Aug 4, 2007 in San Jose, CA.
RIPS continued in the summer of 2016 under the directorship of the
talented Spanish mathematician and teacher Prof. Susana Serna of the
Autonomous University of Barcelona.
Prof. Serna had been an academic mentor for RIPS teams for the previous
Some write-ups of mathematical topics
A miscellany to include lecture notes, drafts and reminiscence
Some activites in mathematics
2011 I participated in review panels for the NSF and for
the S. -T. Yau High School Mathematics Awards.
2007–present, Instructor at the
LACES Calculus Camp (four days in April), the creation of Robert
Vriesman, Chairman of the Math Department at the LACES magnet school in
Los Angeles. See the
2012 Calculus Camp video by LACES student Blake Simon.
Photos and Slide
(Last modified January 18, 2017)