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Lorentz
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What Maths subjects should I study to understand Quantum Mechanics and General Relativity?
Tom Mattson said:For GR you need tensor analysis, differential geometry, and for a sufficiently sophisticated course, topology.
Both subjects require a strong foundation in calculus and linear algebra. Knowledge of differential equations, vector calculus, and complex numbers is also essential.
While knowledge of these subjects can be helpful, they are not necessary to understand QM and GR at a basic level. However, a basic understanding of these concepts can provide a deeper understanding of these theories.
A basic understanding of statistics is necessary, as both subjects involve probability and statistical concepts. However, a deep understanding of statistics is not required to study QM and GR.
It is not recommended to study QM and GR without a strong foundation in math. These subjects rely heavily on mathematical concepts and equations, and a lack of understanding in math can make it difficult to comprehend these theories.
In addition to calculus and linear algebra, knowledge of group theory, functional analysis, and differential geometry can be especially helpful in understanding QM and GR. However, these subjects may not be necessary for a basic understanding of these theories.