Mathematical physics textbook with solutions in it?

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SUMMARY

This discussion centers on finding a suitable mathematical physics textbook that includes solutions for exercises, particularly for a course emphasizing algebraic structures. Recommendations include Sean Mauch's extensive resource from Caltech, which, while comprehensive, lacks content on algebraic structures. For a focus on abstract algebra, users suggest "The Theory of Groups and Its Application to Physical Problems" by Bhagavantam and Venkatarayudu, along with "Group Theory and Elementary Particles" by Rowlatt. Additional resources for abstract algebra include "Abstract Algebra" by Artin, "Abstract Algebra" by Dummit and Foote, and "Algebra" by Lang.

PREREQUISITES
  • Understanding of mathematical physics concepts
  • Familiarity with algebraic structures
  • Basic knowledge of group theory
  • Experience with problem-solving in mathematics
NEXT STEPS
  • Research Sean Mauch's mathematical physics resource for exercises and solutions
  • Explore "The Theory of Groups and Its Application to Physical Problems" for insights into group theory
  • Study "Abstract Algebra" by Artin for foundational concepts in abstract algebra
  • Review J. S. Milne's lecture notes on abstract algebra for comprehensive coverage of the topic
USEFUL FOR

Students and educators in mathematical physics, particularly those focusing on algebraic structures, as well as anyone seeking to enhance their understanding of abstract algebra through structured exercises and solutions.

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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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