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- Thread starter agent_509
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What math do you know so far?

As far as I know, introductory courses for quantum mechanics require that you've at least completed single variable and multivariate calculus, linear algebra, and vector analysis. You may also want to begin with the first year physics sequence(classical mechanics + E&M).

http://ocw.mit.edu/courses/#mathematics

http://ocw.mit.edu/courses/#physics

MIT offers enough open course content for you to progress smoothly.

As far as I know, introductory courses for quantum mechanics require that you've at least completed single variable and multivariate calculus, linear algebra, and vector analysis. You may also want to begin with the first year physics sequence(classical mechanics + E&M).

http://ocw.mit.edu/courses/#mathematics

http://ocw.mit.edu/courses/#physics

MIT offers enough open course content for you to progress smoothly.

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I would definitely recommend the following Calculus supplements:What books would you recomend for learning the different mathematics necessary for learning quantum physics?

Calculus Made Easy by Silvanus P. Thompson

The Calculus Lifesaver by Banner

I suggest buying Calculus 4th Edition by Michael Spivak and the answer manual: Answer Book for Calculus Third and Fourth Edition by Michael Spivak. Spivak is cheap, rigorous, and best for serious students.

https://www.amazon.com/dp/0914098918/?tag=pfamazon01-20&tag=pfamazon01-20

https://www.amazon.com/dp/0914098926/?tag=pfamazon01-20&tag=pfamazon01-20

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Thanks for the help! and once Im done with those, where should I start with quantum mechanics?

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You should begin with the first year physics sequence: Classical mechanics and then Electricity and Magnetism. High schools sometimes offer courses for AP Physics C which contains either CM, or both CM and E&M.Thanks for the help! and once Im done with those, where should I start with quantum mechanics?

Also, you can look for old editions of books(+ solution manuals) if you're just trying to self-study material. Schaum's Outlines are very helpful so look for those as well.

Here are some helpful links for Calculus I:

http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx

Keep in mind: The books I mentioned only cover single variable Calculus(Calculus I and Calculus II). For multivariate Calculus(Calculus III), you can buy Calculus on Manifolds by Michael Spivak. You also need to learn Linear Algebra which is typically learned after Calculus II.

People often take Linear Algebra right before, right after, or concurrently with multivariate Calculus.

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You should know that quantum mechanics almost certainly isn't what you think it is. Especially the mathematics of quantum mechanics. To do things properly, you're many years behind the level of math that is required - it is very complicated and I wouldn't expect you to even recognise any of the notation that is used, never mind work out what to do with it. It is pleasing that you are so interested in physics that you want to self study - but for things like quantum mechanics I would stick to more popularized literature - go to the book store and pick up some popular science books. Some can be kind of trashy, but others do actually have valuable thought experiments and the like that can get your mind thinking about the kind of things that need to be addressed.yeah, I'm mostly looking for self-study material

For instance, there are lots of books that cover bits of relativity that are easily accessible to the non-physicist - such books contain wordy explanations for things that would take years to recognise in mathematical terms. I am of the opinion that things like this are valuable too - exposing your mind to lots of different scenarios is extremely important.

If you want to self study something that is relevant and similarly magical, I would look at E&M. EM courses are presented at both introductory level and then again later on in university. I always find that most people hate the introductory (hate is too strong a word) course and find them boring - for some reason students seem to think that EM is outdated or whatever. The same students tackling graduate level EM often come to realise that the subject is one of the most fascinating in all of everything they have done

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Really, I just find the concepts of QM very interesting and philosophically profound, and you don't need all that math to know something about them. Books like "The Elegant Universe" or "A Brief History of Time" is a good place to start.

I agree with fasterthanjoao that intermediate E&M is pretty cool though. For some reason the math in E&M sort of "clicked" with me (lots of multivariable calculus).

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