Raymond A. Beauregard
Department of Mathematics URI
Professional Information
Title:
Professor of Mathematics
Educational Background:
Ph.D, University of New Hampshire, 1968
M.S., University of New Hampshire, 1966
B.A. Providence College, 1964
Contact Information
Office:
Tyler Hall
Telephone:
(401) 874-4463
E-mail:
beau@math.uri.edu
Research Information
Algebra: Ring theory: Noncommutative integral domains
Number theory
EGS triangle (Mathematica notebook)
Selected Publications
Sums of the Alcuin Numbers
,
(with V. A. Dobrushkin),
Mathematics Magazine
, October 2013
Teaching Tip: A Slippery Slope,
College Mathematics Journal
, May 2011
Diametric Quadrilaterals with Two Equal Sides,
College Mathematics Journal
, January 2009
The Class of Heron Triangles
,
Mathematics Magazine
, October 2008
A Short Proof of the Two-sidedness of Matrix Inverses
,
Mathematics Magazine
, April 2007
No Arithmetic Cyclic Quadrilaterals,
College Mathematics Journal
, March 2006
On a Three-Dimensional Generalization of Fermat's Area Theorem,
(with K. D. Zelator),
College Mathematics Journal
, September 2004
Another Look at the Euler-Gergonne-Soddy Triangle,
(with E. R. Suryanarayan),
Mathematics Magazine
, December 2003
A Ramanujan Result Viewed From Matrix Algebra
(with E. R. Suryanarayan),
College Mathematics Journal
, May 2002
Perfect Cyclic Quadrilaterals
(with K. D. Zelator),
Mathematics Magazine
, April 2002
Pythagorean Boxes,
(with E. R. Suryanarayan),
Mathematics Magazine
, June 2001
Square-Plus-Two Primes,
(with E. R. Suryanarayan),
The Mathematical Gazette
, March 2001
General Arithmetic Triangles and Bhaskara's Equation
(with E. R. Suryanarayan),
College Mathematics Journal
, March 2000
Integral Triangles
(with E. R. Suryanarayan),
Mathematics Magazine,
October 1999
The Brahmagupta Triangles
(with E. R. Suryanarayan),
College Mathematics Journal
, January 1998
Arithmetic Triangles
(with E. R. Suryanarayan),
Mathematics Magazine
, April 1997
Parametric Representation of Pythagorean Triples
(with E.R. Suryanarayan),
Mathematics Magazine
, June 1996
Pythagorean Triples: The Hyperbolic View
(with E.R. Suryanarayan),
College Mathematics Journal
, May 1996
Linear Algebra 3rd. edition
(with J. Fraleigh), Adisson-Wesley, Reading Ma., 1995
Rings With The Right Atomic Multiple Property
Comm. Algebra
, 23 (3), (1995) 1017-1026
Factorization In LCM Domains With Conjugation
Canadian Math Bulletin
, 37 (3) 1994, 289-293
Right Unique Factorization Domains
Rocky Mountain Journal of Mathematics
, 24 (1994) no. 2, 483-489
When Is F[x,y] a Unique Factorization Domain?
Proc. Amer. Math. Society
, 117 (1993), 67-70
Unique Factorization in The Ring R[x]
Journal of Australian Mathematical Society
, (Series A) 53 (1992), 287-293
Personal Interests and Hobbies
Sailing
Aerobic Walking
Piano