Mathematical physics textbook with solutions in it?

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In a discussion about finding a suitable textbook for a mathematical physics course focused on algebraic structures, participants recommended several resources. A notable suggestion was Sean Mauch's extensive online book, which, while comprehensive, lacks specific content on algebraic structures. For those specifically interested in the intersection of group theory and physical problems, "The Theory of Groups and Its Application to Physical Problems" by Bhagavantam and Venkatarayudu was highlighted. Other recommended texts for abstract algebra included "Abstract Algebra" by Artin, "Abstract Algebra" by Dummit and Foote, and "Algebra" by Lang. Additionally, participants mentioned useful lecture notes by J. S. Milne and graduate-level notes by a contributor known as mathwonk, which cover various aspects of abstract algebra. Overall, the discussion focused on finding resources that provide exercises and solutions to enhance understanding in the course.
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Hello I'm taking a mathematical physics course which has heavy emphasis on algebraic structures. The course has no required textbook but I want one anyway for extra practice. All of the books I see at my library all have no solutions in them which makes it frustrating because then I don't know if I got the question right. Anyone have any tips.
 
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You could try http://www.its.caltech.edu/~sean/book.html by Sean Mauch of Caltech. It's HUGE and contains over 2000 pages of mathematical physics with exercises and solutions, though I don't think it contains anything on Algebraic Structures. Are you saying it's a math physics course with a focus on abstract algebra?

In that case, I would maybe recommend The Theory of Groups and Its Application to Physical Problems , an older book by Bhagavantam and Venkatarayudu, which you can find here.

You could also try:

Rowlatt - Group Theory and Elementary Particles

And if you're just looking for good abstract algebra books...

Artin - Abstract Algebra
Dummit and Foote - Abstract Algebra
Lang - Algebra or Undergraduate Algebra

Or these awesome lecture notes covering a ton of different aspects of abstract algebra by J. S. Milne, a mathematician from New Zealand.

Or graduate abstract algebra lecture notes by PhysicsForums's own mathwonk here.
 
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Hi, I have notice that Ashcroft, Mermin and Wei worked at a revised edition of the original solid state physics book (here). The book, however, seems to be never available. I have also read that the reason is related to some disputes related to copyright. Do you have any further information about it? Did you have the opportunity to get your hands on this revised edition? I am really curious about it, also considering that I am planning to buy the book in the near future... Thanks!
This is part 2 of my thread Collection of Free Online Math Books and Lecture Notes Here, we will consider physics and mathematical methods for physics resources. Now, this is a work in progress. Please feel free comment regarding items you want to be included, or if a link is broken etc. Note: I will not post links to other collections, each link will point you to a single item. :book:📚📒 [FONT=trebuchet ms]Introductory college/university physics College Physics, Openstax...

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