*different methods of proof: [[constructive proof]], [[elementary proof]], induction, contradiction, existence
*different methods of proof: [[constructive proof]], [[elementary proof]], induction, contradiction, existence
−
*[[transcendental]] numbers - how do we know they exist?
+
*[[transcendental]] numbers - do they exist?
+
*imaginary numbers - useful tool, or anti-Christian conspiracy?
+
*Euler - was he a conservative? should his theories be trusted, or disproved?
*Goldbach's Conjecture and Fermat's Last Theorem
*Goldbach's Conjecture and Fermat's Last Theorem
*Types of math problems presented in [[College Board]] exams, [[math contests|American math contests]] and UK math contests [http://www.wpr3.co.uk/UKMT/jmc.html][http://www.wpr3.co.uk/UKMT/imc.html][http://www.wpr3.co.uk/UKMT/smc.html]
*Types of math problems presented in [[College Board]] exams, [[math contests|American math contests]] and UK math contests [http://www.wpr3.co.uk/UKMT/jmc.html][http://www.wpr3.co.uk/UKMT/imc.html][http://www.wpr3.co.uk/UKMT/smc.html]