How can i learn high level maths alone?

  • Thread starter Thread starter Alexander~E=hv
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SUMMARY

To learn higher-level mathematics for solving quantum mechanics exercises, a solid foundation in Classical Mechanics, Electromagnetism, and Waves/Oscillations is essential. Mastery of single and multivariable calculus, differential equations, complex numbers, and linear algebra is also required. Recommended resources include reputable textbooks on these subjects, as well as MIT's OpenCourseWare for structured learning. Identifying high-quality materials is crucial, as many available books do not meet the necessary academic standards.

PREREQUISITES
  • Classical Mechanics
  • Electromagnetism
  • Single and Multivariable Calculus
  • Differential Equations
NEXT STEPS
  • Explore MIT's OpenCourseWare for courses in Calculus and Linear Algebra
  • Research reputable textbooks on Differential Equations
  • Study complex numbers and their applications in higher mathematics
  • Review resources on Classical Mechanics and Electromagnetism
USEFUL FOR

High school students, aspiring physicists, and anyone interested in mastering the mathematical foundations necessary for quantum mechanics.

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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