An easy proof by contradiction concerning sets absorbing sequences; a proof that various statements about convergence of sequences in a non-empty set are equivalent to the set having exactly one point; various examples relating to (non) sequent

Definitions, Proofs and Examples 4

Nov 21st, 2011 26m 6s

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/or convergent subsequences.Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpr

How do we do proofs? (Part II)

Nov 16th, 2011 26m 1s

How do we do proofs? (Part II)

How do we do proofs? (Part I)

Nov 16th, 2011 29m 1s

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 on how we do proofs is to help students with some of the relatively routine aspects of doing

Why do we do proofs?

Nov 16th, 2011 30m 39s

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.wordpress.com/ The aim of this session is to motivate students to understand why we might want to d

Definitions, Proofs and Examples 3

Nov 11th, 2011 29m 11s

Discussion of questions relating to: unions of finite sets, bounded sets and closed sets; convergence of sequences, and the related (non-standard) concept of absorption of sequences by sets.Dr Feinstein's blog may be viewed at: http://explaini

Definitions, Proofs and Examples 2

Nov 1st, 2011 28m 47s

Discussion of questions relating to: Cartesian products, set differences and set inclusions; bounded sets and unbounded sets; open sets and sets which are not open; continuous functions, divergent sequences and convergent sequences.Dr Feinstei

Definitions, Proofs and Examples 1

Nov 1st, 2011 36m 26s

Discussion of questions relating to: set inclusions and set equalities; sums of subsets of the real line; examples showing the difference between sum and union.Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.comDr Joel

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