This is the homepage of Robert Styer,
Department of Mathematics and Statistics, Villanova University,
800 Lancaster Avenue, Villanova, PA 19085-1699 USA
Office: Saint Augustine Center (SAC) 372
Phone: (610) 519 4845
Fax: (610) 519 6928
e-mail: robert DOT styer AT villanova
DOT edu
Director of the Comprehensive Science Program.
Office Hours:
See syllabi on Blackboard. I prefer meeting by appointment (call or email
me anytime to set up a time)
Learning
Resources
Math Learning and Resource Center
Writing Center
Citrixweb
Gateway
Some Past Course Info (including Math-Physics materials) (alas, my more current courses have all their material buried within Villanova's Blackboard interface)
Some Educational Modules I enjoyed making
Bouncing Balls Module An introduction to geometric series, published in the Journal
of Online Mathematics and its Applications, Volume 7, 2007.
Tower of Blocks and
Harmonic Series Module An unfinished introduction to harmonic series.
Geometric constructions with ruler and compass, or
ruler, or compass: Trisecting a Line Segment, LOCI Online
Journal Feb 2010
link
Misc: Villanovans for Life Symposium question on why I am pro-life.
Research interests:I am interested in analytic and elementary number theory. My thesis involved Hecke theory over number fields. For some years I worked on conjectures by Imre Katai in additive and multiplicative number theory.
I have been
working with Reese Scott (a musician/composer who does math on the side to
relax!) on Diophantine equations research.
Here are some articles and other work we have
done on exponential Diophantine equations.
I also enjoy creating educational modules:
Bouncing Balls Module An introduction to geometric series, published in the Journal
of Online Mathematics and its Applications, Volume 7, 2007.
Tower of Blocks and
Harmonic Series Module An unfinished introduction to harmonic series.
Geometric constructions with ruler and compass, or
ruler, or compass: Trisecting a Line Segment, LOCI Online
Journal Feb 2010
link
Here is a paper on Three: Lines, Triangles and the Trinity written for the November 2001 Experiences of God in the Disciplines Sophia Papers conference. In Sept 2010 the Villanovans for Life campus group invited several professors to discuss how their prolife views intersect with their professional life; here is my one page statement (pdf, Word).
Here is a review of the excellent Ordinary Differential Equations educational software ODE Architect. Here is an old unsuccessful attempt on the palindrome problem. My 1981 thesis.
I have also worked on happy numbers, inspired by one of our senior seminar students in Spring 2008. Some Info on consecutive happy numbers.

My wife Peggy has a degree in early childhood education from Ohio State, and sees Ohioans as the epitome of goodness. She is intelligent; in our premarital counseling personality test, Peggy scored 70 percent on the abstract reasoning, while I scored 30 percent (together we are 100%!). She has a sanguine personality, and we all too often talk till the wee hours of the morning. (quite old photo and another old photo of us at the azalea garden, the location of an important date many years ago.) Peggy tutors algebra and is a certified Wilson reading tutor, by the way, so if you need an algebra or a certified Wilson reading tutor, contact us!
We have six children. Our oldest, Amy, is in grad school studying parasitology. Melanie is in a nursing program, Joe studies engineering at college, and Andy is in high school and not sure what he wants to do long term. David is in first grade with the Pennsylvania CyberCharter School. Our youngest, Daniel, is not in school yet. Amy enjoys playing violin, Melanie plays flute, Joe piano, and Andy trumpet. David likes trucks and planes and anything that moves. Daniel loves our guinea pig and rabbit. They all love dogs so we dog-sit often so they can enjoy a dog around the house.
Pictures on the right: 50th Styer Reunion 1998, below that is the Hill Reunion 2011.
My dad was one of 12, my mom one of 9, so lots of cousins!
Finding Math Facts
Math Organizations
Math Software
Fun Math Pages
Math Teaching Service Opportunities

Misc Math
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