>parents ask me what I want for Christmas >unironically

https://en.wikipedia.org/wiki/Fundamentals_of_Physics

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This might be above your level but it's a good start if you want to learn real math.

>>8297092
Depends a bit on your age/level of knowledge.

I will always recommend vols 1 and 2 of this: https://www.amazon.co.uk/Quantum-Mechanics-Vol-Wiley-Interscience-Publication/dp/047116433X/ref=sr_1_3?s=books&ie=UTF8&qid=1472160806&sr=1-3

It's by far the single best course on quantum mechanics you can read. Both volumes are mandatory reading.

>>8297100

I already have a Physics textbook I'm working through, I was thinking more along the lines of a book with a lot of problems to solve, ideally problems where you have to think outside the box and incorporate multiple ideas.

>>8297109
I found a .pdf of it, awesome.

What do you mean when you say "real math"?

>>8297124
Modern math. Though really I just mean math where you're required to know why rather than just what. You can get through most calculus classes without understanding any calculus as long as you have a good memory but that ends here.

>>8297123

I'm 25 and I've been studying Physics and Mathematics full-time. I'm finishing up High School (I know) and I'm preparing for university to study Physics. I am exposing myself to more advanced ideas to not bog myself down on how dumbed down High School education is.

I figure the best way to be a cut above the rest is to work through proofs, understand said proofs and also work through physics problems that require you to apply principles and think outside the box.

I hate how standardized my education is.

>>8297134
You're taking the right approach, even university education is formulaic, but it's still worth while.

You can find a pdf of vol1 of the book I linked easily - give it a read. He's very lucid in his derivation of QMs, and doesn't waste time on integral methods. Starts with commutator relations and pulls it out from there. It's only 5 axioms to a quantum mechanical harmonic oscillator.

Lots of fun problems too - a number of them quite involved. If you're avid in your study you'll like it.

>>8297139

I'll procure the book one way or another. QM seems really cool and I'd love to get a comprehensive understanding of its principles.

How about something like a book about Integral problems or something.

Bump. Any can help me with more recommendations? Thanks /sci/ bros.

Depends on your level. What is Mathematics and Gamow's book, one two... Infinity are recommended.

More serious stuff, probably get either proof intro books from springer.