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Here are mine, from my area of study (physics).

Quantum mechanics: Cohen-Tannoudji et al. Simply sublime. Read the first chapter and you will understand the physics of quantum mechanics. Read the second chapter and you will understand the mathematics. The rest of the book is a reference of nearly every basic topic in nonrelativistic quantum mechanics.

Classical Mechanics: Landau and Lifshitz. Simply my kind of book. Terse, to the point, no faffing about, yet detailed and rich in discussion and physical insight. In other words, does not say anything it doesn't need, and doesn't omit anything that it shouldn't.

QFT: Peskin and Schroeder. The clearest introduction I found of this difficult topic.



You a fan of Boas? Still have Mathermatical Methods open on my desk here at work.


Never read that, I'm afraid. I used Arfken and Riley as my main practical mathematical reference works, throughout my degree.




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