What Are Good Math References for Understanding Cosmology?

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For those preparing to study Dodelson's cosmology book, a solid understanding of Bessel functions, Legendre polynomials, and Fourier transforms is essential. Arfken and Weber's "Mathematical Methods for Physicists" is suggested as a comprehensive reference, though it offers limited coverage on Fourier transforms. Mary Boas' "Mathematical Methods of the Physical Sciences" is highly recommended for its thorough treatment of these topics. Additionally, textbooks on electromagnetism, such as "Classical Electromagnetism" by Franklin, provide concise explanations of Bessel functions, Legendre polynomials, and Fourier transforms, making them valuable resources for foundational knowledge.
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I am planning on working through Dodelson's cosmology book, but I find my knowledge of things like Bessel functions, Legendre polynomials, and Fourier transforms lacking.

What're some good references for these things?
 
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While not the best , you could consider Arfken and Weber a catchall for Mathematical Physics with chapters on these functions. From there you could branch out into other references given by the authors.
 
Do you have any good references on Fourier transforms? Arfken/Weber doesn't talk about them all that much. :/
 
I believe the forum standard for this sort of recommendation is "mathematical methods of the physical sciences" by Mary Boas. I have a copy myself and it covers all the topics you'll need in fairly good depth, I would recommend it personally.
 
Electromagnetism books generally have good, concise treatments of Bessel functions, Legendre polynomials, and Fourier transforms. I recommend "Classical Electromagnetism" by Franklin.
 
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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!

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