How can i learn high level maths alone?

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To effectively tackle quantum mechanics, a solid foundation in higher-level mathematics and physics is essential. Key areas of study include classical mechanics, electromagnetism, and waves/oscillations, alongside advanced mathematics such as single and multivariable calculus, differential equations, complex numbers, and linear algebra. It's crucial to select high-quality textbooks for these subjects, as many available resources may not be suitable. Additionally, MIT's OpenCourseWare is recommended as a valuable resource for accessing relevant course materials and lectures.
Alexander~E=hv
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I want to learn higher level maths because i am in high school and the maths i know are not enough for my purpose. I want to solve quantum mechanics exercises so is that possible? How?
 
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Before tackling QM, you will need a good grasp of physics : Classical Mechanics, Electromagnetism and Waves/Oscillations should be a good background. You will also need to learn a lot of calculus (single and multivariable) and differential equations. You also need to be familiar with complex numbers and linear algebra.
 
You'd have to find good books on linear algebra, calculus, and differential equations. There are a lot of bad books on these subjects, but I don't really know which ones to recommend at that level.

You can always try mit's open courseware.

http://ocw.mit.edu/index.htm
 

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Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
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Thread 'What should I do if I found a paper with same result as mine?'

Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...
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