Recomendation for a beginner

I think it's worth starting with a popular non-technical book, if for no other reason than to get a good overview of the history and phenomena that QM was designed to explain.

This is well written up to date, which is useful since many topics in QM are still active areas of research:
http://www.amazon.co.uk/Quantum-Guide-For-The-Perplexed/dp/1780223951

Refreshing your maths knowledge might not help a whole lot. I'd suggest trying to find out which are the current popular undergraduate teaching textbooks and check the maths that you're going to need to learn. I could try to find them for you, but I'd just be searching for recommendations, which throws up this https://www.amazon.com/Quantum-Mechanics-2-vol-set/dp/0471569526, for instance. Quantum Mechanics has a habit of teaching the required maths, as it goes along, providing that you have the necessary grounding is calculus and linear algebra, which I'd say that you, almost certainly, already do.

 

I am certainly not in the position to judge the quality of the standford online courses, but i kinda liked what i have seen so far.

http://www.youtube.com/user/StanfordUniversity/videos?flow=list&view=1


one of their playlist...
http://www.youtube.com/watch?v=0Eeuqh9QfNI&list=SPA27CEA1B8B27EB67

this is about quantum entanglement. The math used is quite easy linear algebra mainly. It gets complicated to the end when every concept stacks upon each other, but it is doable if you put some effort into it.

Maybe you like it..

 

Micromass used to recommend this book for a QM course:

- Quantum Mechanics: Concepts and Applications by Zettili

I don't own the book, so I don't know if it's any good. It may have a math introduction, which is what you're looking for, correct?

To revise your math knowledge, I would recommend "Mathematical Methods in the Physical Sciences - By Mary L. Boas".

 

I'd say keep the Feynman book for later. Start with that Griffiths text and see how far you can go. If you get stuck with the mathematics, then that will be a good time to look for a good source to brush up on that math. The Mary Boas text that was recommended is a good book to have.

With those, you should have everything you need to start learning QM at the undergraduate level. Just dive right in.

Zz.

 

If you are good with linear algebra start with the heisenberg picture. I wish someone would of told me that.

 

I would recommend you watch some lecture sequences on youtube by a good lecturer to know more about the subject.
I also found Griffiths book "Introduction to Quantum Mechanics" is useful and explains the basics of quantum mechanics in easy steps for my undergraduate course.

You could signup for the course on the following link in quantum mechanics. Its free to join the class, and if you do well in it you could even get a certificate of accomplishement, but the course might need some maths skills.
https://www.coursera.org/course/eqp