Daniel E. Otero
Associate Professor, Interim Chair

· MATH 12005 Elementary Functions (WF
3:004:15, CRN 90763, TBA)
· MATH 30001 History of Mathematics (MW 4:305:45, CRN 90803, TBA)
Office hours:
by appointment, in my office, HIN 104. Students
can find detailed information about these courses through Xavier's Canvas learning management services.
· MATH 125 Mathematical Perspectives: the Mathematics of
Calendars and Timekeeping
· MATH 125 Mathematical Perspectives: Strategies for
Cooperation and Competition
· MATH 147 Calculus from an Historical Perspective
· I am cofounder (with Prof. Dan Curtin, Northern
Kentucky University) of the Ohio River Early Sources in Mathematical Exposition
(ORESME) Reading Group, a biannual seminar in the Cincinnati area that meets to
read significant original sources in mathematics. The ORESME home page is
maintained by Prof. Curtin and me. At our last meeting on January 3031, 2015, at
NKU, we continued our study of the work of Bernhard Riemann (18261866) by reading his Foundations for a general theory of functions of a complex variable (Grundlagen für eine allgemeine Theorie der Functionen einer veränderlichen complexen Grösse, Inauguraldissertation, Göttingen, 1851), his dissertation, in which he introduces Riemann surfaces; and On the number of prime numbers less than a given quantity (Über die Anzahl der Primzahlen unter einer gegebenen Grösse, Monatsberichte der Berliner Akademie, 1859) in which his celebrated zeta function is introduced, and the Riemann Hypothesis first stated.
· The MacTutor
History of Mathematics Archive at St. Andrews, Scotland, is one of the
neatest sites that exists on the Web. It is a substantial compendium of
all sorts of information about important mathematics and mathematicians of
history.
· David Joyce
at Clark University maintains a great page on the history of mathematics.
· Adam Parker (Wittenberg University) and I presented an
afternoon workshop, Teaching Mathematics
with Primary Historical Sources, after the MAA Ohio Section Fall Meeting at
Wittenberg, November 1, 2014.
· David Pengelley (New Mexico State University) and I
presented an MAA Minicourse, Study the
Masters: Using Primary Historical Sources in Mathematics Teaching,
at the Joint Mathematics
Meetings in Boston in early January, 2012.
· I cochaired, with Amy ShellGellasch (Beloit College) and
David Pengelley, a successful session of papers titled "Treasures
from the Past: Using Primary Sources in the Classroom," at the Joint
Mathematics Meetings in New Orleans on January 7, 2011.
· I spent three weeks each during the summers of 1996 and 1997
at the Institute on History of Mathematics and Its Use in Teaching (IHMT) at
American University in Washington, DC. The Institute was organized under
the auspices of the Mathematical Association of
America and was funded by the NSF through their Undergraduate Faculty
Enhancement program. I consider this experience a seminal one in establishing
me as an historian of mathematics.
· Whenever I teach the History of Mathematics course here at
Xavier, I arrange a field trip with my students to visit the Rare Book Collection at the
University of Cincinnati. It houses a remarkably large number of old books of
historical importance in mathematics. Our visit there is often the high point
of the semester!
· One of my distinguished colleagues at the IHMT, Ed Sandifer (Western Connecticut
State University), is a founding member of the Euler Society. One of the more
exciting goals of the Society is to prepare English translations of as much of
the mathematical opus of the great eighteenth century mathematician, Leonhard
Euler. These translations are housed online at the Euler Archive.
· David Pengelley maintains a compendious website listing
resources galore for the use of history (and original sources in particular) in
the mathematics classroom.
· David
Calvis at BaldwinWallace College (Berea, OH) has a wonderful page of
mathematics history stuff.
· David
Wilkins of Trinity College, Dublin, maintains this nice page of historical
resources.
· The International Study Group on the Relations Between History and Pedagogy of Mathematics, an affiliate of the International Commission on Mathematics Instruction, has a newsletter and annual meetings.
· The Canadian Society for the
History and Philosophy of Mathematics has a very interesting web page.
·
Jeff Miller's project
on the earliest known uses of
many mathematical terms is fascinating and under continuous revision.
·
An article by Don
Allen on Babylonian
mathematics.
·
A very nice bibliography
on Babylonian mathematics by Eleanor Robson at Oxford.
·
Images
of pages from some of the rare books in the Vatican collection of Greek
mathematics.
·
There are a number of
sites devoted to Euclid's Elements, easily the most influential work in all of
mathematics:
o Ralph Abraham maintains the Visual Elements of Euclid site.
o David Joyce maintains another site focued on the
Elements of Euclid.
·
A page devoted
to Archimedes by Chris Rorres at Drexel University.
·
The Maya calendar
site (maintained at the Maya World Studies Center in Mérida, Yucatán, México)
has a good article on Mayan
mathematics.
·
Japanese sangaku (temple geometry problems) are
exhibited at this page by Hiroshi Kotera. There is a related page showing how sangi are used to solve
polynomial equations.
·
The Biblioteca
Nazionale Centrale and the Istituto e Museo di Storia della Scienza, both of
Florence, Italy, and the Max Planck Institute for the History of Science in
Berlin have prepared an electronic
publication of the Ms. Gal. 72, a manuscript by Galileo Galilei.
·
Biographies of Women Mathematicians
are being prepared by students at Agnes Scott College.
·
My colleague here at
Xavier, Sheila Doran, has designed a course called (MATH 125 Mathematical
Perspectives:Women in Mathematics).
· The Number Theory Web provides links to more
than 1400 number theorists worldwide. Of special interest is their constantly
updated New Listings page where one can learn
about the latest news in the field.
o
The Mathematical Association of America
o
The American Mathematical Society
o
Wolfram MathWorld is sponsored by Wolfram
Research.
o
Plouffe's Inverter: a database of
mathematical constants
o
The Jordan Curve Theorem: another short
article
o
Mathematics Information Servers
o
COMAP
o
Interactive Mathematics Miscellany & Puzzles
o
The BohlenPierce Musical Scale
o
Riemann Hypothesis  from MathWorld
o
Fibonacci Numbers, the Golden section and the Golden String
o
AMS Mathematics Subject Classifications
o
laboratorio macchine matematiche
o
Favorite Mathematical Constants
o
Dynamical systems java applets
o
Abstract Finite Groups (links)
with MAPLE
o
TIMath is a resource site for users of TI
calculators.
· Xavier University Library's electronic
catalog, Xplore.
· A collection of mathematics books
kept at Georgia Tech University.
· The MAA
maintains a Teaching and Learning page as part of
their online service.
· This is a course taught by Len Berggren at Simon
Fraser University in Burnaby, BC.
· The Perseus Project ("a digital resource
for studying the ancient world").
· Elsevier/Academic Press/Pergammon
· Pearson Higher Ed (AddisonWesley,
Prentice Hall)
· Wiley
· Significant Books here in Cincinnati
· Powell's Bookstore in Portland, OR
· Bibliofind, a rare books seller in Great
Barrington, MA (now a division of Amazon.com)
·
Octavo, preparing digital productions of
rare books in Palo Alto, CA
· For the more
adventurous, see the American Contract Bridge League home page.
· Great news,
everyone! The Powerpuff Girls are coming back to
Cartoon Network in 2016!
· The New York Times is the best source for news
in the world, even if you don't live in the City.
· I'll also provide a link to the Cincinnati Enquirer for you.
· Here's the Weather Channel
forecast for the Cincinnati area.