George Baloglou's publications (1988-2008)
(I) Books
(1) [Non-mathematical] An Entertaining Tale of Quadrupeds --
Translation and Commentary (jointly
with
Nick Nicholas), Columbia University Press, June 2003
(2) Isometrica -- A Geometrical Introduction to Planar
Crystallographic Groups,
http://www.oswego.edu/~baloglou/103/isometrica.html , May
2007
(II) Journals
(1) Compact-covering numbers (jointly with W. W. Comfort),
Fundamenta
Mathematicae, v. 131 (1988), pp. 69-82
(2) On the inequality L(X) <= 2^s(X) and related topics, Annals of
the
New York Academy of Sciences, v. 552 (1989), pp. 8-20
(3) An Arcsine Inequality, Problem E 3326, American Mathematical
Monthly,
January 1991, p. 62
(4) A Problem in the Open Disc (jointly with Phil Tracy), Annals of
the
New York Academy of Sciences, v. 704 (1993), pp. 353-54
(5) Comparing sums of numbers with equal products (jointly with
Phil Tracy),
Advanced Problem 6667, American Mathematical Monthly, November 1994, pp.
914-16 and
December 1995, p. 935
(6) The cleverest solution may not be the most productive (in
Greek),
Mathematiki Paideia, v. 2 (1996), pp. 76-78
(7) tanh(theta) <= tan(theta) for -PI/4 < theta < PI/4 (jointly
with
Robert Underwood), The College Mathematics Journal, v. 28, March 1997, pp.
147-48
(8) Small sets meeting all circles (jointly with Fred Galvin),
Problem
10345, American Mathematical Monthly, April 1997, pp. 362-63
(9) Problem 2673, Crux Mathematicorum, November 2002, pp. 468-71
(10) Finding Equations of Tangents to Conics (jointly with Michel
Helfgott), The AMATYC Review, v. 25, n. 2, Spring 2004, pp. 35-45
(11) Problem 2865, Crux Mathematicorum, October 2004, pp. 375-76
(12) Angles, area, and perimeter caught in a cubic (jointly with
Michel
Helfgott), Forum Geometricorum, v. 8, 2008, pp. 13-25
(III) Online
(1) Circular Sets (jointly with Phil Tracy),
http://www.oswego.edu/~baloglou/math/circular.html , 1993
(2) Gronwall's Inequality Revisited (jointly with Fred Barber),
http://www.oswego.edu/~baloglou/math/gronwall.pdf , 1997
(3) Isometries come in circles,
http://www.oswego.edu/~baloglou/103/circle-isometries.pdf , 2001
(4) Crystallography Now,
http://www.oswego.edu/~baloglou/103/seventeen.html , 2002
(5) A Number Theory short (?) story: Christian Aebi's "13" problem,
http://www.oswego.edu/~baloglou/math/thirteen.html , 2003
(6) The general conic and four tangent line problems (jointly with
Michel Helfgott), http://www.oswego.edu/~baloglou/math/conic-tangents.pdf
,
2005