Introduction to Higher Mathematics - Lecture 18: Morphisms

Hold onto your seats. In this lecture we're going to explore some relationships between groups that will astound you with how interconnected they are!

[arjunchakraborty]

I think you are the best math teacher in this world at present, who can make mathematics so interesting and believe me, I am just learning how to teach mathematics being a math teacher, by going through your videos. Thanks a lot for your excellent effort and for uploading these videos in the public domain.

[MrMiaumee]

The way the materials are structured here is just awesome. As abstract as that sounds, isomorphism is one of those fundamental phenomena in the world of mental constructs. Apart from groups, rings and fields, it also finds "applications" in graph theory, discrete math, mathematical logic and other cool higher math topics as well.. That digression into the circle of fifths/fourth is also highly apropos. A great intro to higher mathematics indeed.

[aliebrahimi]

All I saw for amazing and wonderful, not many people like you exist in this world

[BillShillito]

Wow, added. Good thing these YouTube annotations exist - I can't believe I made some of these typos! My apologies, I must have been rushing to get this one done, since it was pretty involved. Thank you for noticing these and pointing them out!

[buildlackey]

I watched from beginning to this video.  For me this was a very good review..and I learned a bunch of new things.  Thanks for doing this !

[jamisonneace]

I love this guy, he reminds me of a math teacher I had in middle school. Miss those days, haha.

[Anonymous-pmqc]

Bill you da real mvp, this class is life changing. Free information is sanctity!

[ali]

If there was no limit of clicking on thumbs up icon, I would have kept Clicking continuously 24/7 as long I live. Thank you so much for your great service to the public. I hope you consider adding more videos geared to Galois group theory, solvability and insolvability of different quantic polynomials etc. Please do consider doing so.

[Seitier]

These explanations have been highly helpful, and I appreciate the time you put in them.... but now after finishing them... yeah I need a few bottles of wine. Long live rng!

[JCResDoc]

Best. Explanations. On. The. Interwebs.

[macmos]

Literally blew my mind. You're a great lecture and teacher, thank you.

[KrishanuKonar]

Has to be the best video of the series. Your symmetry part was fun!
Thanks!!

[tylerbakeman]

That was the easiest-to-follow description of Groups I’ve seen so far. I actually came here to study Morphisms, but thank you for a more clear understanding. (These definitions are sometimes to vague online or too similar)

[sciencemathematics]

Great introduction to mathematics! Thanks for making these videos.

[BitesAndGame]

Obrigado pelas aulas, Thanks for the lessons.

[luckydannumber]

This video just by itself will help learning languages much easier.

[ningwang]

Thumb up for your passion full of my screen. And the illuminati triangle.

[JulianLagrange]

Awesome stuff with the triangle -- very creative, entertaining and effective! 

[TheUltimateSheikh]

Dude, you're one of my favorite people.

[eldavido]

Thank you so much, these videos are amazing!