Detailed and well explained Solid state textbook?

AI Thread Summary
The discussion revolves around the search for detailed solid state physics textbooks that effectively explain the mathematical concepts presented in a third-year solid state course. The main textbook recommended for the course is Kittel's "Introduction to Solid State Physics," which, while covering the basics, lacks depth in mathematical explanations. Another suggested book is Elliott's "The Physics and Chemistry of Solids," though it is not the primary text. Key mathematical topics discussed in lectures include harmonic oscillators, phonons, Fermi gas, and the Bloch theorem, with a focus on the application of the Schrödinger equation and Fourier analysis. A notable recommendation for a more detailed text is Ashcroft & Mermin's book, which, despite being from the 1970s, is considered comprehensive and relevant. The user plans to compare this with Zimin's "Principles of the Theory of Solids" for further insights.
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Hey, I've done a search here on this forum as well as the internet and can't find very many detailed Solid State physics books reccomendations.

I am on a 3rd year class in solid state. The lectures are almost exclusively mathematics, as well as the notes. Id love for a book to follow the maths, to explain were it comes from basically... Its not really clear.

Book recommendations for the course were:


Kittel, Charles - Introduction to solid state physics / Charles Kittel
Which covered the basics good, but isn't as detailed in describing the maths- Or at least doesn't go into as much depth.

Elliott, S. R., Stephen Richard, 1952-. - The physics and chemistry of solids.
I haven't had a look at this one yet to be honest but its not the "main" book. Kittel appears to be the main book for the course.

Besides the basic Crystal lattices and reciprocal space etc (which I am fairly fine with) the topics which have been discussed mathematically in lectures were(so far):

Harmonic Oscillator
Phonons and heat capacity etc
Anharmonic effects
Fermi Gas
Thompson Fermi Screening
Bloch
Kronig Penny Model
Central equation
Weak periodic Pot.
Band gap

The list goes on. Each lecture is, as I've said, pages of maths. A bit more context and explanation of the math would be awesome:

Alot of the maths appears to be application of the schrodinger equation, Fourier analysis and application of to solve differential equations, bloch condition etc.

So naturally any reccomendations for books or sources would be amazing.

Thanks
 
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A standard text which is considered detailed compared to Kittel's is Ashcroft & Mermin's:

https://www.amazon.com/dp/0030839939/?tag=pfamazon01-20

It dates back to the 1970s but this shouldn't be a problem, since the basics are more or less the same. The price is relatively high, but second hand copies are available.
 
THanks, I picked one up in the library today, along with Princples of the theory of Solids Zimin.

Ill compare them and see what helps.
 
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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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