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