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

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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.
 
This thread only works as a summary from the original source: List of STEM Masterworks in Physics, Mechanics, Electrodynamics... The original thread got very long and somewhat hard to read so I have compiled the recommendations from that thread in an online (Google Drive) spreadsheet. SUMMARY Permits are granted so you can make comments on the spreadsheet but I'll initially be the only one capable of edition. This is to avoid the possibility of someone deleting everything either by mistake...
By looking around, it seems like Dr. Hassani's books are great for studying "mathematical methods for the physicist/engineer." One is for the beginner physicist [Mathematical Methods: For Students of Physics and Related Fields] and the other is [Mathematical Physics: A Modern Introduction to Its Foundations] for the advanced undergraduate / grad student. I'm a sophomore undergrad and I have taken up the standard calculus sequence (~3sems) and ODEs. I want to self study ahead in mathematics...

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