The first book in college (as a physics major) I used for Quantum Mechanics was the book by Griffiths.
Introduction to Quantum Mechanics (2nd Edition)
David J. Griffiths: 9780131118928: Amazon.com: Books
Seems like you can get a paperback copy for under $20, hardcover is a bit more.
You say you have a college-level overview of math/sciences. I’m not sure exactly what that entails. Does it include calculus?
I took the class with Griffiths book in my third year as an undergraduate.
A book that will help you understand the necessary mathematics is,
Mathematical Methods in the Physical Sciences
Mary L. Boas: 9780471198260: Amazon.com: Books
This is assuming you know some calculus. If you do not know calculus, you should also get a calculus book. There are quite a few options. Also some lessons about calculus on Khan Academy.
You should also know some chemistry. I had only taken a single quarter of chemistry (10 weeks) in college before I took Quantum Mechanics. Later I took a second quarter.
I read through the Griffiths Quantum Mechanics book the summer before taking the class. It’s interesting and you can understand a little by just reading it. But you need to work the problems to understand it better. Having that book could be a first step since then you can know more of what is involved in learning the subject.
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