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.
 
The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
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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