Question about mathematic courses I need

[billyx3]

I've read through a lot of different threads on the topic of prerequisite knowledge required to take a course in quantum physics and I was wondering about what mathematics I should take (I want to order the textbooks online)

Ive done calculus and have finished a college physics textbook
Now I want to know what is next
I've seen many different lists on prerequisites for quantum physics such as multivariable calculus, vector calculus, calculus II, calculus III and so on
is there a course that covers both multivariable and vector calculus or is this better taken separately?
My main question is, are all of these courses separate or should i get calculus II and calculus III textbooks and expect for those courses to cover multivariable calculus and vector calculus in depth? sorry for my ignorance on this topic

and I know this is the math forum but I'd like to squeeze in one last question
i saw this "Classical dynamics:Newton,Lagrange and expecially Hamilton approaches"
for required courses needed for quantum physics, so I assume Newton approach wouldn't have been covered in my college physics textbook and is more specific? And does anybody know of a textbook that would teach me this approach? Every search I type in with "Newton" in it just gives me a biography of his life in textbooks.com search engine
and also I can not seem to find any textbooks anywhere for hamilton approaches to physics but I do think I've found one for lagrange

thanks for any replies
any help is greatly appreciated

 

[fresh_42]

I've read through a lot of different threads on the topic of prerequisite knowledge required to take a course in quantum physics and I was wondering about what mathematics I should take (I want to order the textbooks online)

Functional Analysis or Operators in Hilbert Spaces

Ive done calculus and have finished a college physics textbook
Now I want to know what is next
I've seen many different lists on prerequisites for quantum physics such as multivariable calculus, vector calculus, calculus II, calculus III and so on
is there a course that covers both multivariable and vector calculus or is this better taken separately?

This depends on what is hidden behind vector calculus. It could be multivariable calculus or differential geometry, which requires multivariate calculus.

My main question is, are all of these courses separate or should i get calculus II and calculus III textbooks and expect for those courses to cover multivariable calculus and vector calculus in depth? sorry for my ignorance on this topic

There is no normed content for the branches you listed. It depends on who teaches it how. In general you should have a good basis in calculus: real, complex, multivariate, before you go ahead.

and I know this is the math forum but I'd like to squeeze in one last question
i saw this "Classical dynamics:Newton,Lagrange and expecially Hamilton approaches"
for required courses needed for quantum physics, so I assume Newton approach wouldn't have been covered in my college physics textbook and is more specific? And does anybody know of a textbook that would teach me this approach? Every search I type in with "Newton" in it just gives me a biography of his life in textbooks.com search engine
and also I can not seem to find any textbooks anywhere for hamilton approaches to physics but I do think I've found one for lagrange

thanks for any replies
any help is greatly appreciated

The Lagrange calculus or calculus of variations is needed in QM but in general, too.