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

  • 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