Quantum Advice for useful math books for a college student studying physics

AI Thread Summary
For college students studying physics, selecting the right math books is crucial. The discussion emphasizes the importance of identifying your current knowledge level, whether introductory or advanced, as this influences the recommended materials. Key foundational topics include single-variable calculus, multivariable calculus, differential equations, and linear algebra. A widely recommended resource is Boas' "Mathematical Methods in the Physical Sciences," which covers essential concepts beyond introductory calculus. Additionally, the forum suggests exploring a dedicated textbook section and offers a link to free mathematics books for self-study.
Barry Z
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Advice for useful math books for a college student studying physics
 
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Barry Z said:
a college student studying physics
It will help people in giving advice, if you can be more specific. Are you at the introductory level, which needs mostly single-variable calculus and maybe simple differential equation? Or are you at the intermediate or advanced undergraduate level, or looking towards it?

At higher levels, the required math topics depend on the physics topics. Generally, multivariable (vector) calculus, differential equations, and linear algebra are the foundation.

A common recommendation for a wide-ranging math book beyond the introductory calculus level is Boas, Mathematical Methods in the Physical Sciences.

BvU said:
We have a whole forum on textbooks. A bit hard to summarize, so why don't you look around there ?
I see that "there" is now "here". :cool: One of the other mentors apparently moved this thread.
 
TLDR: is Blennow "Mathematical Methods for Physics and Engineering" a good follow-up to Altland "Mathematics for physicists"? Hello everybody, returning to physics after 30-something years, I felt the need to brush up my maths first. It took me 6 months and I'm currently more than half way through the Altland "Mathematics for physicists" book, covering the math for undergraduate studies at the right level of sophystication, most of which I howewer already knew (being an aerospace engineer)...
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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