Looking for a good Mathematical Physics book answers

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The discussion centers on finding an advanced undergraduate mathematical physics textbook that includes answers for self-study. The Mary Boas book is mentioned positively, but the user is seeking additional recommendations. Specific topics of interest include Fourier methods, Laplace methods, Bessel functions, differential and integral equations, boundary value problems, calculus of variations, analytic functions, and linear algebra. The user appreciates "Mathematics for Classical and Quantum Physics" by Byron and Fuller for its content but notes the lack of answer keys. Other suggested texts include "Mathematical Methods for Physicists" by Arfken & Weber and "Mathematical Methods for Physics and Engineering" by K.F. Riley et al., both recognized for their comprehensive coverage of relevant topics.
physicist311
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Does anyone know of a good advanced undergraduate mathematical physics book with answers for self study? I hear good things about the Mary Boas book, but want more opinions. Thanks!
 
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First off thanks for posting Malawi Glenn. I am looking for a more "textbook" style emphasizing Fourier methods, Laplace Methods, Bessel functions, and general stuff on differential and integral equations. Other stuff such as boundary value problems, calculus of variations, analytic functions, and linear algebra would be good too. I really like the content of "Mathematics for Classical and Quantum Physics" by Byron and Fuller but there are no answers in the back, so I have no way to check myself. I hope that helps.
 
physicist311 said:
First off thanks for posting Malawi Glenn. I am looking for a more "textbook" style emphasizing Fourier methods, Laplace Methods, Bessel functions, and general stuff on differential and integral equations. Other stuff such as boundary value problems, calculus of variations, analytic functions, and linear algebra would be good too. I really like the content of "Mathematics for Classical and Quantum Physics" by Byron and Fuller but there are no answers in the back, so I have no way to check myself. I hope that helps.
You might also want to try :

Arfken & Weber - Mathematical methods for physicists (is one of the best)
and
K.F.Riley (et.al.) - Mathematical methods for physics and engineering.
 
I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...

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