Group Theory Lecture 0.1 Recapitulating Number Theory

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00:00 Overview of the Lecture
00:59 The Congruence Relation
10:01 A Notation
14:31 Modular Arithmetic
22:07 Addition on Z/nZ
35:46 Multiplication on Z/nZ
38:10 Properties of These Operations
45:16 The Natural Projection
51:02 GCD
56:39 Elementary Properties of GCD
01:02:06 Special Subsets of Z
01:14:00 Special Case of Bezout's Theorem
01:22:13 General Bezout
01:24:23 Inverses
01:26:36 Advanced Properties of GCD
01:50:03 Another Important Property

Full Playlist:    • Group Theory  

Note: The auto-generated subtitles are mostly accurate and may enhance experience.

Prerequisites:
1) Basic Mathematical Notions and Terminology:    • Kickstart  
2) Some Elementary Number Theory:    • First Course in Number Theory  
3) Some Linear Algebra:    • Linear Algebra  

Recommended Books: Topics in Algebra by Herstein. Algerba by M. Artin.
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