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I am looking for an introductory book on Group Theory that would be good for physicists. I am currently using Group Theory by J.S. Milne, but I find it slightly hard to digest (I find it too formal for someone who isn't from the field of mathematics).

So I'm looking for a book that would allow for a more hands-on, intuitive approach to Group Theory, and that doesn't require too much mathematical background for one to understand the basics.

PS: Recommendations on online courses would also be appreciated

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  • $\begingroup$ A Course in Group Theory by John F. Humphreys is a good book for that first time in group-theory. I started with it and rapidly learnt the basics, faster than searching online "here and there". $\endgroup$ – kub0x Nov 15 '19 at 18:33
  • $\begingroup$ cf. this question, and consider on line lectures by Benedict Gross based on M. Artin's Algebra text $\endgroup$ – J. W. Tanner Nov 15 '19 at 18:38
  • $\begingroup$ Have a look at the PSE question. $\endgroup$ – Cosmas Zachos May 12 at 13:21
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My favorite "intuitive" book on group theory by far is Visual group theory by Nathan Carter (MAA Press), but it isn't directed to physics, and has very little on Lie groups, which figure so prominently in physics.

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My favorite intro group theory book is A Book of Abstract Algebra by Charles Pinter. It is a very gentle introduction. I can't say it has too many concepts that will be useful for physicists, but it is very readable and intuitive. I actually found there is a link here in case you wanted to download it.

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In the meantime, I found this crash course in group theory online. It is a good crash course for anyone interested in learning the basis or reviewing them before going into something a little more deep.

It is a bit hard to find online support content for students taking an intro course on this subject, so I hope this helps.

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