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Lec 10 Embedding of the theories of integers and rational numbers in Set Theory Countable Sets

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Lesson extensions

Lessons List | 44 Lesson
Discrete Mathematics
00:06:52

Discrete Mathematics
Lec 1 Boolean Functions
00:52:41

Lec 1 Boolean Functions
Lec 2 Propositional Calculus Introduction
00:39:57

Lec 2 Propositional Calculus Introduction
Lec 3 First Order Logic Introduction
00:51:56

Lec 3 First Order Logic Introduction
Lec 4 First Order Logic Introduction Cont d
00:44:22

Lec 4 First Order Logic Introduction Cont d
Lec 5 Proof System for Propcal
00:48:02

Lec 5 Proof System for Propcal
Lec 6 First Order Logic wffs interpretations models
00:53:53

Lec 6 First Order Logic wffs interpretations models
Lec 7 Soundness and Completeness of the First Order Proof System
00:40:38

Lec 7 Soundness and Completeness of the First Order Proof System
Lec 8 Sets Relations Functions
00:29:17

Lec 8 Sets Relations Functions
Lec 9 Functions Embedding of the theories of naturals numbers and integers in Set Theory
00:44:20

Lec 9 Functions Embedding of the theories of naturals numbers and integers in Set Theory
Lec 10 Embedding of the theories of integers and rational numbers in Set Theory Countable Sets
00:42:47

Lec 10 Embedding of the theories of integers and rational numbers in Set Theory Countable Sets
Lec 11 Introduction to graph theory
01:00:49

Lec 11 Introduction to graph theory
Lec 12 Trees Cycles Graph coloring
00:54:23

Lec 12 Trees Cycles Graph coloring
Lec 13 Bipartitie Graphs
00:41:06

Lec 13 Bipartitie Graphs
Lec 14 Bipartitie Graphs Edge Coloring and Matching
00:46:24

Lec 14 Bipartitie Graphs Edge Coloring and Matching
Lec 15 Planar Graphs
00:27:27

Lec 15 Planar Graphs
Lec 16 Graph Searching BFS and DFS
00:36:54

Lec 16 Graph Searching BFS and DFS
Lec 17 Network Flows
00:51:23

Lec 17 Network Flows
Lec 18 Counting Spanning Trees in Complete Graphs
00:29:23

Lec 18 Counting Spanning Trees in Complete Graphs
Lec 19 Embedding of the theory of ral numbers in Set Theory Paradoxes
00:26:36

Lec 19 Embedding of the theory of ral numbers in Set Theory Paradoxes
Lec 20 ZF Axiomatization of Set Theory
00:46:45

Lec 20 ZF Axiomatization of Set Theory
Lec 21 Partially ordering relations
01:00:15

Lec 21 Partially ordering relations
Lec 22 Natural numbers divisors
00:40:52

Lec 22 Natural numbers divisors
Lec 23 Lattices
00:35:54

Lec 23 Lattices
Lec 24 GCD Euclid s Algorithm
00:34:55

Lec 24 GCD Euclid s Algorithm
Lec 25 Prime numbers
00:41:03

Lec 25 Prime numbers
Lec 26 Congruences
00:41:51

Lec 26 Congruences
Lec 27 Pigeon Hole Principle
00:34:48

Lec 27 Pigeon Hole Principle
Lec 28 Stirling Numbers Bell Numbers
00:39:55

Lec 28 Stirling Numbers Bell Numbers
Lec 29 Generating Functions
00:35:52

Lec 29 Generating Functions
Lec 30 Product of Generating Functions
00:50:55

Lec 30 Product of Generating Functions
Lec 31 Composition of Generating Function
00:33:35

Lec 31 Composition of Generating Function
Lec 32 Principle of Inclusion Exclusion
00:24:31

Lec 32 Principle of Inclusion Exclusion
Lec 33 Rook placement problem
00:39:31

Lec 33 Rook placement problem
Lec 34 Solution of Congruences
00:43:07

Lec 34 Solution of Congruences
Lec 35 Chinese Remainder Theorem
00:34:52

Lec 35 Chinese Remainder Theorem
Lec 36 Totient Congruences Floor and Ceiling Functions
00:52:33

Lec 36 Totient Congruences Floor and Ceiling Functions
Lec 37 Introduction to Groups
00:47:10

Lec 37 Introduction to Groups
Lec 38 Modular Arithmetic and Groups
00:49:57

Lec 38 Modular Arithmetic and Groups
Lec 39 Dihedral Groups Isomorhphisms
00:46:28

Lec 39 Dihedral Groups Isomorhphisms
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