About Math Of Course

I am Dr. Samuel A. Hambleton. I have a Ph.D. in Mathematics (Number Theory) from The University of Queensland and a Graduate Diploma of Education. I have lectured both Pure and Applied Mathematics since 2009 in various Australian universities.  I am interested in Number Theory, Algebraic Geometry, Cryptography, Signal Processing, and Mathematical Programming. I am a Wolfram Mathematica code writer and sometimes use Python.

I have a small maths YouTube channel where you can find my latest videos: https://www.youtube.com/c/SamHambleton?sub_confirmation=1 

My current email address is:

samuelahambleton@gmail.com

S. A. Hambleton, H. C. Williams, Cubic Fields with Geometry, CMS Books in Mathematics, Springer, 2018. (Also see errata and summary by Daniel C. Mayer)

______________, A cubic generalization of Brahmagupta's identity, Journal of the Ramanujan Math. Soc., 32, 4, (2017), 327--337. 

______________, Generalized Lucas-Lehmer tests using Pell conics, Proc. Amer. Math. Soc., 140, (2012), no. 8, 2653--2661.

______________, A brief summary of binary quadratic forms, Surveys in Mathematics and Mathematical Sciences, 1, (2012), no. 1, 65--80. 

______________, V. Scharaschkin, Pell conics and quadratic reciprocity, Rocky Mountain J. Math., 42, (2012), no. 1, 91--96.

______________, F. Lemmermeyer, Arithmetic of Pell surfaces, Acta. Arith. 146, (2011), 1--12.

______________, V. Scharaschkin, Quadratic reciprocity via resultants, International Journal of Number Theory, 6, 6, (2010), 1413--1417.