Welcome to W. Edwin Clark's Home Page
Mathematics Department of the University of South Florida .
Join me at the The OEIS 100K E-Party
If you don't know what the OEIS is go to OEIS and find out.
Like almost everyone whose Erdös Number is not 0 or 1, my Erdös Number is 2. Members of our faculty with Erdös Number 1 are: Al Goodman, Vilmos Totik, and Stephen Suen.
MATH LINKS OF INTEREST:
- Maple Links
- Collection of Reviews of A New Kind of Science
- Eric Weisstein's Interactive Mathematics Encyclopedia
- Dave Rusin's Mathematical Atlas
- Free Math Textbooks on the Internet
- Some Number Theory Links
- Math Archive's WWW Math Resources Organized by Topic
- Sloane's Encyclopedia of Integer Sequences
- List of Open Research Problems in Mathematics
- Favorite Mathematical Constants by Steven Finch
- Mathematics Resources on the Internet
- Graph Theory Resources by Daniel Sanders
- GraphNet Archives
- The Math Forum's Internet Mathematics Library
- Kinsler's Rules for Surviving Physics and Other Technical Courses:
- Words of Encouragement from Professor Mark Sapir
- Jobs and Careers for Math Majors
- Catalogue of Algebraic Systems
Students who have trouble understanding mathematics may take comfort in the following remark of John von Neuman:
"In mathematics you don't understand things. You just get used to
them."
If you are a students and do not feel sufficiently challenged your courses try solving the Discrete Problem of the Week or one of the Seven Mathematics Problems of the Millennium.
Mathematics in fiction, music and other offbeat links:
- Which Mathematical Structure is Isomorphic to our Universe? by Max Tegmark
- Mathematics in Fiction and Movies Compiled by Alex Kasman
- Lobachevsky-- the funniest math song ever (by Tom Lehrer)
- More on Tom Lehrer
- Collection of
Mathematics Quotes
- Mathematical Quotation Server at Furman University
- Advance answers to all my exam questions are not available here
- John Bray's enlightening view of infinity
- David Ullrich's picture of a space filling curve.
- The natural numbers start with 2 by Jan Willem Nienhuys'
- How to make 1 orange into 2 oranges of the same size. (aka Banach-Tarski Paradox)
Help yourself to the postscript
file or pdf file of my
book ELEMENTARY ABSTRACT
ALGEBRA. Also you may have the latex file
in case you want to revise it to suit your own taste. I ask only that you
acknowledge the source and make no commercial use of it. . This version is one-sided, but may be converted to
two-sided by the appropriate printer or by a photocopy machine.
Help yourself to the postscript file
or pdf file
of my book ELEMENTARY NUMBER
THEORY. Also you may have the latex file in
case you want to revise it to suit your own taste. I ask only that you
acknowledge the source and make no commercial use of it. This version is one-sided, but may be converted to
two-sided by the appropriate printer or by a photocopy machine.
The following Maple worksheets were used also when I taught the course:
Open Questions worksheet#1 worksheet#2 worksheet#3 worksheet#4
(To use these worksheets you must have a copy of Maple on your computer. Maple x for x >= 7 should work.)
POSTSCRIPT COPIES OF RECENT ARTICLES. For papers that
have already been published, the versions available here are those of the early
preprints, and do not contain corrections made in the editing process, notes
added in proof, etc.
- The Affinity of a Permutation of a Finite Vector Space, with Xiang-dong Hou and Alec Mihailovs, Finite Fields and Their Applications, Volume 13, Issue 1, January 2007, 80-112. Volume
- Tight Upper Bounds for the Domination Numbers of Graphs with Given Order and Minimum Degree, II, with Larry Dunning and Stephen Suen, Electronic Journal of Combinatorics, Volume 7 (1), 2000, R58
- Inequalities Involving Gamma and Psi Functions , with Mourad Ismail, Analysis and Applications, Volume 1, Number 1, January 2003, 129--140.
- An Inequality Related to Vizing's Conjecture, with Stephen Suen, Electronic Journal of Combinatorics, Volume 7(1), 2000 N4.
- Application of Upper and Lower Bounds for the Domination Number to Vizing's Conjecture, with Mourad Ismail and Stephen Suen, Ars Combinatoria 69 (2003), 97-108
- On the Probability that a t-Subset of a Finite Vector Space Contains an r-Subspace---With Applications to Short, Light Codewords in a BCH Code , with Stephen Suen, Congressus Numerantium 137 (1999), 139--159
- An Application of Spanning Trees to k-Point Separating Families of Functions, with Greg McColm and Boris Shekhtman, J. London Math. Soc. (2) 58 (1998), no. 2, 297-- 310.
- Upperbounds of the Domination Number of a Graph, with David Fisher, Boris Shekhtman and Stephen Suen, Congressus Numerantium, 132 (1998), pp. 99-123.
- Tight Upper Bounds for the Domination Numbers of Graphs with Given Order and Minimum Degree, with Larry A. Dunning, Electronic Journal of Combinatorics 4 (1997), no. 1, Research Paper 26, pp. 1--25
- Domination Numbers of q-Analogues of Kneser Graphs, with Boris Shekhtman, Bulletin of the Inst. of Comb. and its Applications, Volume 19 (1997), pp. 83-92
- Covering by Complements of Subspaces, II. with Boris Shekhtman, Proc. Amer. Math. Soc.125 (1997), no. 1, 251--254.
- Covering by Complements of Subspaces, with Boris Shekhtman, Linear and Multilin. Algebra, Vol 49,1995, pp. 1--13.
- Binomial and q-Binomial Coefficient Inequalities Related to the Hamiltonicity of the Kneser Graphs and Their q-Analogues, with Mourad Ismail, J. Comb. Theory (Series A),Vol. 76, No. 1, Oct. 1997, pp. 83--98
- Separating Sets with Parallel Classes of Hyperplanes, Bulletin of the Inst. of Comb. and its Applications, Vol. 13 (1995) , 65-82.
- Domination Numbers of Complete Grid Graphs, I, with Tony Yu Chang and Eleanor O. Hare, Ars Combinatoria 38 (1994), pp. 97-111.
- The Domination Numbers of the 5xn and 6xn Grid Graphs, with Tony Yu Chang , Journal of Graph Theory, Vol. 17, No. 1, 81-107 (1993).
- Matching Subspaces with Complements in Finite Vector Spaces, Bulletin of the ICA, Vol. 6 (1992) , 33-38.
- My CV Including a more or less complete list of my publications.