An easy proof by contradiction concerning sets absorbing sequences; a proof that various statements about convergence of sequences in a non-empty set ...
Definitions, Proofs and Examples 4
A close look at sequences of real numbers which tend to plus or minus infinity, and connections with the (non)-existence of bounded subsequences and/o...
How do we do proofs? (Part I)
This is the first of two sessions on how to do proofs. See also Dr Feinstein's blog at http://explainingmaths.wordpress.com/ The aim of these sessions...
Why do we do proofs?
This is the first of three sessions by Dr Joel Feinstein on how and why we do proofs. Dr Feinstein's blog is available at http://explainingmaths.wordp...
Definitions, Proofs and Examples 3
Discussion of questions relating to: unions of finite sets, bounded sets and closed sets; convergence of sequences, and the related (non-standard) con...
Definitions, Proofs and Examples 2
Discussion of questions relating to: Cartesian products, set differences and set inclusions; bounded sets and unbounded sets; open sets and sets which...
Definitions, Proofs and Examples 1
Discussion of questions relating to: set inclusions and set equalities; sums of subsets of the real line; examples showing the difference between sum ...