Mathematics - Foundations of Pure Mathematics - Joel Feinstein / U of Nottingham

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source: University of Nottingham     上次更新日期：2015年3月30日
These videos are also available for download on iTunes U at: https://itunes.apple.com/us/itunes-u/...
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.

Introduction to Foundations of Pure Mathematics 39:05
Sets and Numbers 42:23
Workshop 1: About this module 41:48
Definitions and Direct Proofs 47:34
Rational and irrational numbers 33:37
Workshop 2 26:13
More on rational and irrational numbers 47:05
Bezout's Lemma and Prime Factorization 48:52
Workshop 3 29:03
Sets and subsets 45:31
Cartesian Products and Relations 33:30
Workshop 4 34:40
Equivalence Relations and Equivalence Classes 45:27
Unions and Partitions41:46
Workshop 5 31:35
Equivalence Classes and Modular Arithmetic 50:10
Decimal expansions and rational numbers 49:28
Workshop 6 28:11
Functions and their graphs 40:54
Functions and sets 44:18
Workshop 726:21
Properties of functions 48:57
Finite sets and cardinality 42:46
Workshop 8 24:39
Permutations of finite sets 43:20
Permutations continued 41:50
Workshop 9 30:42
Cardinality for infinite sets 44:57
Conclusion of Cardinality for infinite sets 6:56
Countability and uncountability 47:47
Workshop 10 27:09
Discussions of Class Test 2 58:30