Other What books to get before studying Quantum Mechanics and General Relativity?

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To effectively learn Quantum Mechanics and General Relativity with minimal prior physics knowledge, foundational understanding in mathematics is essential. Key areas include linear algebra, abstract algebra, and mathematical analysis, along with calculus. For a less rigorous approach, introductory linear and abstract algebra may suffice. Familiarity with special relativity is also necessary. Recommended resources include Griffiths' book on Quantum Mechanics, particularly Chapter 3 for mathematical insights, and lecture courses such as those by Prof. Sourav Mukopadhyay on linear algebra and Prof. Balakrishnan on Quantum Physics. While knowledge of classical mechanics, including Lagrangian and Hamiltonian mechanics, is advantageous, it is not strictly required to begin studying Quantum Mechanics. Prof. Balakrishnan's course on Classical Physics is suggested for those interested in building this foundational knowledge.
Daras
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Hi.
I want to learn - amateurishly - Quantum Mechanics, and General Relativity, but my experience with Physics is very small.
I want to ask, what should I learn - what books should I read - before I start to learn those theories?

Sorry for my english.
 
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Daras said:
Hi.
I want to learn - amateurishly - Quantum Mechanics, and General Relativity, but my experience with Physics is very small.
I want to ask, what should I learn - what books should I read - before I start to learn those theories?

Sorry for my english.
Quantum Mechanics requires linear algebra, abstract algebra and mathematical analysis (real and complex), so that you can study everything with full rigor. Calculus is also a requirement. It is not a sufficient but definitely necessary condition. If you want less rigor, maybe linear and abstract algebra, and introductory analysis will be enough.

Have a look at the following PF insights blogs:

Self-Studying linear algebra

Self studying abstract algebra

From physics, you need to know special relativity.

Take a look at Griffiths' book on Quantum. Chapter 3 has a lot of mathematical insights that might help you.

I would suggest lecture courses in addition to books.

For linear algebra, you can have a look at Introduction to Abstract and Linear Algebra by Prof. Sourav Mukopadhyay. All lectures have not been released as of today, but they will soon be released. It's a good course, and the prof. teaches well. Every week, five lectures are released.

Other than that, you can refer to Prof. Balakrishnan's lectures Quantum Physics. Though you are supposed to know linear Algebra before starting, he summaries some concepts in the first few lectures. Also, some concepts of classical mechanics would be necessary too, though not very essential.

For special theory of relativity, look at this course by Prof. Shiva Prasad.
 
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Thanks for the answer, but I have one more question.

Didn't I need to know basic Physics like Classical Mechanics etc.?
 
Daras said:
Thanks for the answer, but I have one more question.

Didn't I need to know basic Physics like Classical Mechanics etc.?
If you know classical physics like Lagrangian and Hamiltonian mechanics, you're at a great advantage. But you can start Quantum without it, keeping on mind you start with a book/course that does not get too much into classical while dealing in quantum.

If you're interested, have a look at Prof. Balakrishnan's course Classical Physics.
 
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The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...

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