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Books
· Advanced Calculus: A Transition to
Analysis, Elsevier Pub. Co., Jan, 2010.
· Elements of Number Theory,
Academic Press Pub. Co., Dec. 1998.
· A First Course of Collegiate
Mathematics, Krieger Pub. Co., Jan. 1994.
· Solving Math Problems in BASIC,
TAB Books Pub. Co., Oct. 1983.
· The FORTRAN Cookbook, TAB Books
Pub. Co., Oct. 1980.
Articles
· “Four Ways to Skin a
Definite Integral,” The College Math
J., March, 2010, 134-144.
· “Introducing
Euler’s Constant into the Calculus Classroom,”, Proceedings Intellectbase International, Las Vegas, NV, Dec.
2009.
· “Also
Solved by Paul Bruckman,” an interview posted on the webpage of PME Math
Honor Society, Dec., 2009.
· “A
Survey of Euler’s Constant,” Mathematics
Magazine, Oct. 2009, 255-265.
· “Sums
of Simple Rearrangements of the Alternating Harmonic Series,” The Math. Gazette, (to appear).
· "Pairs of Divergent Sequences whose
Differences Converge," Pi Mu Epsilon Journal, Fall, 2009, 21-32.
· "Some Half Row Sums in Pascal's
Triangle via Laplace Transforms," College Math Journal, May
2007. 205-209.
· "The Bank Shot in Billiards," J.
Rec. Math.,, 2004-2005. 255-258.
· "Using Pi in Cryptology," Math.
and Comp. Ed., Winter 2005. 56-61.
· "Programming Some Partitions," Pi
Mu Epsilon Journal, Spring 2006. 201-206.
· "On Enlarging the Focal Point of a
Parabola," Math. Teacher, May, 2005. 594-598.
· "Pattern Busting," Math.
Teacher, Nov. 2004. 254-259.
· "Cryptography: Its History and its
Mathematics," Ohio J. of School Math., Spring, 2003. 29-36.
· "Column Integration and Series
Representation," The College Math. J., March, 2003. 144-148.
· "On an Application of Bernoulli's
Inequality," Math. and Comp. Ed., Spring, 2003. 234-235.
· "A Property of Quadrilaterals,"
The College Math. J., Sept. 2001. 292-294.
· "The Pentagon and other
Undergraduate Mathematics Journals," Proceedings of History of
Undergraduate Mathematics in America conference, United States Military
Academy, West Point, NY, June 21-24, 2001. 311-318.
· "Recursive Powers of the Imaginary
I," Ohio J. of School Math., Spring, 2001. 48-54.
· "On a Symmetric Function of the
Primitive Powers of Primes," Missouri J. of Math. Sciences,
Spring, 2001. 75-79.
· "Pascal's Triangle and the
Generalized Koch Snowflakes," Math. and Comp. Ed., Vol. 34,
Fall, 2000. 245-254.
· "Number Theory in the High School
Classroom," Ohio J. of School Math., Spring, 1999, Npo. 40.
24-30.
· "Euler's Function in Residue
Classes," Ramanujan Journal, Summer, 1998. 2, 7-20.
· "Archimedes' Quadrature of the
Parabola Revisited," Math. Magazine, April, 1998. 123-130.
· "Cubics, Chaos, and Newton's
Method," The Mathematical Gazette, Nov., 1997. 403-408.
· "Residues III - Congruences to
General Composite Moduli," Missouri J. of Math. Sciences,,
Spring 1997. 72-78.
· "Residues II - Congruences Modulo
Powers of 2," Missouri J. of Math. Sciences, Winter, 1996.
26-35.
· "A Necessary and Sufficient
Condition for Twin Primes," Missouri J. of Math. Sciences,
Fall, 1995. 129-131.
· "Cubic and Quartic Residues Modulo a
Prime," Missouri J. of Math. Sciences, Vol. 7, Spring, 1995.
24-31.
· "A Nonrecursive Approach to
Programming the Parenthesize Function," Math. and Comp. Ed.,
Vol. 29, Winter, 1995. 70-76.
· "The School Bus and the Mud Puddles
- An Application of the Inclusion-Exclusion Theorem," QUANTUM,
Jan.-Feb., 1995. 24-29.
· "An Observation Regarding the
Equation f(x)=n," The College Math. J., Sept., 1995.
35-40.
· "Some Geometric Properties of
Σ1/(n(n+1))," Math. and Comp. Ed., Winter, 1993. 15-20.
· "Proof Without Words," Mathematics
Magazine, June, 1993. 179.
· "A Rapidly Converging Recursive
Approach to Pi," Mathematics Teacher, Febuary, 1993. 121-124.
· "An Application of Calculus to
Number Theory," Math. and Comp. Ed., Spring, 1992. 125-128.
· "An Infinite Product Approach to
Vieta's Formula," Math. and Comp. Ed., Vol. 23, Winter, 1989.
36-38.
· "Ratios of Generalized Fibonacci
Sequences," The Fibonacci Quarterly, Vol. 25, May, 1987.
137-143.
· "Classroom Exercises on Areas Under
Some Interesting Curves," School Science and Math., Vol. 87,
Feb., 1987. 88-99.
· "On a Relationship Between the
Modified Euler Method and e," Inter. J. of Math. and Math.
Sciences, Vol. 8, 1985. 183-187.
· "More on Generalized H-Base," Math.
and Comp. Ed., Vol. 17, Fall, 1983. 216-218.
· "On the Beauty of Mathematics as Exemplified
by a Problem in Combinatorics," Math. and Comp. Ed., Vol. 16,
1982. 49-53.
· "The Digital Root Function," Two-Year
College Mathematics Readings (MAA), 1982. 96-103.
· "On the Monotonicity of a Class of
Exponential Sequences," American Math. Monthly, Vol. 88, May,
1981. 341-344.
· "Density Points of Cantor
Sets," Math. and Comp. Ed., Spring, 1981. 113-115.
· "The Lebesgue Decomposition for
Elements in a Topological Group," Intl. J. of Math. and Math.
Sciences, Vol. 3, 1980. 801-808.
· "Differentiable Points of the
Generalized Cantor Function," Rocky Mt. J. of Math., Spring,
1979. 239-249.
· "A Coin Game," The Two-Year
College Math Journal (MAA), Sept., 1977. 244-246.
· "A Lebesgue Decomposition for
Vector-Valued Additive Set Functions Defined on a Lattice," Canadian
J. of Math., Vol. 29, 1977. 295-298.
· "Idempotent Endomorphisms on
Standard Threads," Semigroup Forum, Vol. 11, 1975. 14-21.
· "Another Euclidean Geometry," Mathematics
Magazine, May, 1974. 125-132.
· "Orders of Infinity of Fibonacci
Related Sequences," Journal of Undergraduate Math., Sept.,
1970. 63-68.
Miscellaneous
· "Number Theory Crossword
Puzzle," Math Horizons, November 2006. 22-23
· "A Differential Equations Crossword
Puzzle," Math Horizons, November 2005. 30-31.
· "Digital Roots of Euler
Numbers," Abstract In SIGSAM Bulletin Communications In Computer
Algebra, March, 2005. p. 18
· "Analysis Word Search," Math
Horizons, Apr. 2004. p.35.
· "Maternity," (poem by Robert Service).
The Mathematical Intelligencer, Vol. 10, Summer, 1988. 62.
· "Continued Fractions," Encyclopedia
of Mathematics Education, Grinstein, L. and Lipsey, S., ed.,
RoutledgeFalmer, New York, 2001. 149-151.
· "Continuity," Encyclopedia
of Mathematics Education, Grinstein,L. and Lipsey, S., ed.,
RoutledgeFalmer, New York, 2001. 151-152.
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