## Daniel E. Otero
Associate Professor |

- MATH 125-03
Mathematical Perspectives: Secret Codes (MWF 12:00-12:50, SMH G23)
- MATH 301-01
Geometry (TR 11:30-12:45, SMH G30)
- MATH 391-01
Mathematics Seminar I (T 4:00-4:50, LOG 101)
- MATH 393-01
Mathematics Seminar III (T 4:00-4:50, LOG 101)

**Office hours**:
MW 1:00-3:00, R 3:00-5:00, or 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 February 7-8, 2014, at NKU, we read two pieces of the work of
Bernhard Riemann (1826-1866), neither of which were published during his
short life but both of which were highly influential when they were
published. They were both associated with the reception of his
Habilitation from Göttingen in 1854, one on the
problem of whether "arbitary
functions" could be represented by Fourier series, the other the text
of his inaugural lecture on what constitutes an
*n*-dimensional manifold from the perspective of differential geometry. At our next meeting, January 31-February 1, 2015, also at NKU, we will read some more from Riemann. - 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 Shell-Gellasch
(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 Baldwin-Wallace 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. I plan to attend the
next quadrennial HPM 2012 meeting in Daejon,
South Korea, this summer.
- 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:
- Ralph Abraham maintains the Visual Elements of Euclid
site.
- 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 ).
- A site
with a number of resources on
__the history of computing__is maintained by the Ancient Computing Machinery Project. - An
enormous collection of information is
housed at the
__Virtual Museum of Computing__by Jonathan Bowen at the University of Reading (England).

- 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. - Check
out
__the Prime Pages__, the prime source of information on prime numbers! It is maintained by Chris Caldwell at the University of Tennessee at Martin. - There is also an interesting
page, designed by Chen Shuwen (at Jiang Xing
Electronic Ltd., in Jiangmen City, Peoples'
Republic of China) and mirrored at a server in France, on
__equal sums of like powers of integers__.

__The Mathematical Association of America____HOMSIGMAA__(the History of Mathematics Special Interest Group of the MAA): I am currently Chair of HOMSIGMAA.__Ohio Section__(I am President-Elect of the Section and am also the Section Archivist.) The Section is preparing for its Centennial celebration in 2015-2016.- I
helped to run a (very successful) MAA Ohio Section Summer Short Course
during the summer of 2008 here at Xavier University along with
__Prof. David Pengelley__(New Mexico State University). The course was entitled__Study the Masters: Using Primary Historical Sources in Teaching and Research__. Participants started work on individual projects creating classroom modules based on primary historical documents for teaching a nice variety of mathematical topics. David & I and the 11 participants had a great time! - The
Ohio Section has put together a nice local resource called
__Ohio Masters of Mathematics__, a collection of short biographies of noted personalities in the history of mathematics in Ohio. __The American Mathematical Society__

__The Math Forum____Wolfram MathWorld__is sponsored by Wolfram Research.__The Online Encyclopedia of Integer Sequences__, created by Neil Sloane, is one of the most incredible sites on the web. Look up any important sequence of integers and find out what it is and who has written about it. Also a neat way to determine the next term of the sequence!__Plouffe's____Inverter__: a database of mathematical constants__The Jordan Curve Theorem__: another short article__Math on the Web____Mathematics Information Servers____Project MATHEMATICS!____COMAP____Interactive Mathematics Miscellany & Puzzles____The Bohlen-Pierce Musical Scale____Zentralblatt____Database____Riemann Hypothesis -- from MathWorld____The Riemann Hypothesis____Fibonacci Numbers, the Golden section and the Golden String____AMS Mathematics Subject Classifications____laboratorio____macchine matematiche____The Somos Sequence Site____The Three Ages of Pi____Favorite Mathematical Constants____Mudd____Math Fun Facts____Dynamical systems java applets____Shapes of Nature eSource____Abstract Finite Groups (links)__

## with MAPLE

__Xavier University Library's__electronic catalog,__Xplore____.____Washington Research Libraries Consortium__(DC), which includes American University with its Artemas Martin Collection of mathematics books.- A collection of mathematics books kept at
__Georgia Tech University__. - Here are
some of the more fascinating
__objects in the collections at Columbia University__. (My favorite is Plimpton 322.)

- The MAA
maintains a
__Teaching and Learning__page as part of their__online service__. - From 1991 to 2008 , I
was the site coordinator for the
__OCTM Mathematics Tournament__(sponsored by the Ohio Council of Teachers of Mathematics) for high school students, held on the last Saturday of February at dozens of sites around Ohio. - The
__ATLAST__project, led by__Steve Leon__(University of Massachusetts, Dartmouth), was created to improve the teaching of linear algebra, especially in the light of how electronic computing packages like MATLAB, now widely available, can transform the learning experiences of students.

__Fred Rickey__at the U.S. Military Academy has designed a minicourse on__Teaching a Course on the History of Mathematics__.- This is
a
__course__taught by Len Berggren at Simon Fraser University in Burnaby, BC. - A very interesting
__minicourse____on XVII-century mathematics__given by Fernando Gouvea at Colby College, Waterville, ME. - The
__Perseus Project__("a digital resource for studying the ancient world").

__Cambridge University Press____Elsevier/Academic Press/Pergammon____Brooks/Cole Cengage____Jones & Bartlett____McGraw Hill____Oxford University Press____Palgrave (Macmillan)____Pearson Higher Ed__(Addison-Wesley, Prentice Hall)__Princeton University Press____Springer-Verlag____W H Freeman____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

- I participate in the Xavier Univerity Bridge Marathon, a 12-pair social party
bridge game. We play 8 times a year, once a month, October to May; the October and May sessions are on campus and the
others are at members' homes. Each meeting involves two tables (4 pairs)
and 6 hands per table for a total of 18 hands.
- For the more adventurous, see
the
__American Contract Bridge League home page__.

__WVXU__, was purchased from Xavier University by Cincinnati Public Radio in 2006. Cincinnati Public Radio also runs__WGUC__, the home of classical music on radio in Cincinnati. WVXU provides__NPR__programming, including the news programs Morning Edition, Weekend Edition, and All Things Considered; also, Fresh Air, and Wait, Wait, Don't Tell Me. It also carries__Echoes__and__A Prarie Home Companion__.- The best radio for my taste, however, is
available in the U.S. only through the internet.
It's the thrice-weekly radio show
__Late Junction__, which plays eclectic classical, progressive, and world music late nights on Tuesdays, Wednesdays and Thursdays on__BBC Radio 3__. I'm very glad that the BBC posts these shows for listening up to 7 days after the original broadcasts; that way I can get my weekly fix.

- 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.