Algebra 19 | Lagrange's Theorem [dark version]

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🌙 There is also a dark mode version of this video:    • Algebra 19 | Lagrange's Theorem [dark vers...  
🔆 There is also a bright mode version of this video:    • Algebra 19 | Lagrange's Theorem  

🔆 To find the YouTube-Playlist, click here for the bright version:    • Algebra  
🌙 And click here for the dark version of the playlist:    • Algebra [dark]  

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This is my video series about Algebra. We learn about semigroups, groups, fields and related stuff. I hope that it will help everyone who wants to learn about it. Also check my website to see the connections to other video courses.

00:00 Introduction
00:44 Right cosets
01:28 Cardinality of the collection of right cosets
03:18 Correction: disjoint means equal to empty set!
03:31 Definition: index of subgroup
04:25 Examples: index of subgroup
06:47 Lagrange's Theorem in group theory
07:47 Lagrange's Theorem for cyclic subgroups
08:51 Proof of Lagrange's Theorem
10:15 Credits

#Algebra
#Mathematics
#Groups
#Operation
#Numbers
#Associative
#Rings

I hope that this helps students, pupils and others. Have fun!

(This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

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