Mathematics Required for Physics

[narayan.rocks]

Iam a High school Student starting grade 11 this year . I want to learn all undergrad physics chapters like Classical Mechanics , Optics , Statistical Mechanics , Thermodynamics , Electromagnetism , Quantum Mechanics , Solid State physics , Nuclear Physics , Plasma Physics , Relativity etc .
I have been learning math from MIT opencourseware I watch the video lecture / read lecture notes . Then i solve their problem sets and then their exams . I have completed the following courses
18.01 Single variable Calculus
18.02 Multi Variable Calculus

My question is how much math should i know so as to learn and understand all the concepts in undergrad physics . Also Suggest good books . Thank you

 

[Snow-Leopard]

Almost all books on Mathematical Physics are listed here in Reference page.
http://en.wikipedia.org/wiki/Mathematical_physics

 

[narayan.rocks]

yeah thanks , but which one do i choose . Does these books cover all the math required for a physics undergrad

 

[HallsofIvy]

In addition to calculus, I would say that only Linear Algebra and Differential Equations are really required for general physics. Work specifically in quantum theory woul require group theory (though probably not the full "abstract algebra") and general relativity uses differential geometry and tensor analyisis.

 

[narayan.rocks]

Thanks , so i think i can go with Mary L boas / Riley's Mathematical physics textbooks as they cover almost all of these

 

[Snow-Leopard]

Thanks , so i think i can go with Mary L boas / Riley's Mathematical physics textbooks as they cover almost all of these

Surely Mary L Boas is highly Recommended text for Undergrad and want to do more then go to specific/Pure Maths books after that for Linear Algebra/Calculus/DE etc.