Basic abstract algebra, pt.2

This will be a video series about basic abstract algebra and group theory. We will keep it basic so that anyone can follow the videoes.

This is the second video in the series, and we will define groups.



(Music: Chemical Brothers - Hoops)

Category:

Education

Tags:

• basic
• abstract
• algebra
• group
• theory
• mathematics
• math
• prove
• proof
• binary
• operator
• science
• function
• set
• multiplication
• addition
• real
• numbers
• integers
• rational

[musiclearner9222]

Awesome man! Simply awesome!! I LOVE YOU!!!

[VeritySeeker]

@musiclearner9222 Tanks, mate :).

[Aishasiddiqa100]

these are really benificient videos for all standard but in part 1 once binary operation is defined there is no need to state the first condition .if u find any mathematical mistake in my text pls. inform me. thanx

[VeritySeeker]

@Aishasiddiqa100 That is true. I have commented on it previously. :)

[TradingTutor]

What I don't understand is: at 2:32 you write *(a,b) = a + b, but you didn't define what + is.

[VeritySeeker]

@TradingTutor In tis case the binary operator + has a meaning. It is ordinary addition. All other binary operations are called * (unless otherwise defined).

[humby123]

Brilliant. I find videos like these are FAR AND AWAY more educational than any class with a forlorn professor and hiked fees. Keep it up. Yours are some of the few videos that deserve a rightful place in youtube.

[blackpheele]

Thank you soooooo much! For sure, I will continue to watch the video.

:)

[TradingTutor]

@VeritySeeker But how is 'ordinary addition' defined then?

[melbarose85]

where is pt 3 on examples of groups?

[aznlalaland]

ax=b where a, b in ring R, has a solution for x for all a, b if a is invertible.