Selected Publications
Pythagorean
Boxes (with R.A. Beauregard),
Mathematics Magazine June,
2001
Brahmagupta
Polynomials in two parameters:University
of Hong Kong Conference on Special
Functions,
June 21, 1999(withRangarajan)
The
Brahmagupta Polynomials in two complex variables, The Fibonacci Quarterly
(Feb.
1998, 36,p. 34-42).This
paper was presented at theSeventh
International
Conference
on the Fibonacci Numbers and their Applications held in Graz, Austria,
July 1996.
The
Brahmagupta Triangles, (with R.A. Beauregard) College Mathematics Journal,
January 1998
Parametric
Representation of Primitive Pythagorean Triples
(with
R.A. Beauregard), The Mathematics Magazine,Vol.
169, No. 3, June 1996.
Pythagorean
Triples: The Hyperbolic View (Cover and Article), (with R. A. Beauregard),
The
College Math Journal, Vol. 27, No. 3, May 1996.
Properties
of the Brahmagupta Matrix, Int. Journal ofMath.
Education, Science and
Technology,
Vol 27, No. 3, 347-353, 1996.
The
Brahmagupta Polynomials, The Fibonacci Quarterly,Vol.
34, No. 3, Feb. 1996
Inductive
Tiling of the Plane by Penrose Aperiodic Rhombi, (Cover Article with
Dean
Clark), The College Math Journal,Vol.
26, No. 4,September 1995.
Chebychev
Matrices and Quasi-periodic Tilings, (with Clark), Acta
Crystallographica,
A 51, 684-690, 1995.
Quasi-periodic
Tilings Generated by Matrices, (with Rao), Physica B 193, 139-14, 1994.
Chebychev
Polynomials and Regular Polynomials, (with Savio), The American
Math.Monthly,Vol
100, No. 7.
Quasi-periodic
Tilings with Low-Order Rotational Symmetry, (with Clark),
ActaCrystallographica,
A 47, 498-502, 1991.
Conference
Presentations:
1)Brahmagupta
Polynomials in two parameters:Phanidatta
Memorial Lectures, University of Gawahati, August 2000.
2)Brahmagupta
Polynomials in two parameters:University
of Hong Kong Conference on Special
Functions,
June 21, 1999(withRangarajan)
3)Brahmagupta
Polynomials and their applications to quasi-periodic tilings (14 th centenary
celebration of Brahmagupta), Indian Institute of Science, Bangalore.August
1998
4)The
Brahmagupta Polynomials in Two Complex Variables, Seventh International
Conference
on Fibonacci Numbers and Applications held in Graz, Austria, July 1996.
5)Pi
and its approximation in medievalIndia,
presented at the History of MathConference
held at
the
Penn State UniversityAugust 1993.
NewspaperArticles:
1.The
Legacy of the Early Indian of Mathematicians (The Hindu, January 1998)
2. The
man who new numbers (The Deccan Herald, June 1998)
3. The
Prime Chasers (The Hindu, July 1998)
4.Nailing
the Prime Suspects (The Deccan Herald,October
1998)
5.The
Stamp-size Formulas (The Deccan Herald, February 1999)
Positions
1960
- PresentUnivesity of Rhode Island
1967
- 1968Visiting Fellow, University
of Queensland, Australia
1957
- 1960University of Michigan
1955
- 1957University of Pune, India
1952
- 1955University of Gawahati,
India
Degrees
Published
on the following Subjects:
Fluid
Dynamics, Crystallography, Special Functions, History of Mathematics
Other