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I've been trying to slog through Quantum Physics for Dummies, but can't even get past the first chapter. There's a lot of talk of Bras, Kets, and Hilbert spaces, but I feel I'm missing the mathematical underpinnings that would make it understandable.

Can anyone recommend a good book to build up my mathematical foundation for quantum physics? A textbook or study guide would be fine - I'd want a lot of examples and practice problems. By the end of this venture, I'd like these concepts to be intuitive to me.

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    $\begingroup$ Seems that either or both of physics.stackexchange.com/q/27056/1 and physics.stackexchange.com/q/74000 cover this. No? Also physics.stackexchange.com/q/139595 and it's predecessor physics.stackexchange.com/q/193. $\endgroup$
    – dmckee --- ex-moderator kitten
    Commented Jan 18, 2015 at 20:51
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    $\begingroup$ Oy vey. I think this might be overkill to route someone to the mathematical physics type literature. It seems that he is just looking for more in depth mathematical exposition. For that I would suggest Dirac's Principle's of Quantum Mechanics. You don't need to study analysis in depth, but you will need to have a firm grounding in linear algebra. Hilbert space is really just an inner product vector space that converges everywhere. No need to study a book for that, but you need the linear algebra and calculus to understand the definition. Dirac doesn't even use this definition. $\endgroup$
    – Marcus Quinn Rodriguez Tenes
    Commented Dec 28, 2015 at 17:31

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