Need good math methods for physics book

AI Thread Summary
A first-year physics graduate student with a double major in math and physics seeks advice on math methods resources, noting deficiencies in complex analysis and heat flow. The discussion centers around the textbook "Mathematical Methods in the Physical Sciences" by Boas, which is considered accessible and appropriately rigorous for quick learning. However, another book by Hassani is recommended as a better alternative. Two versions of Hassani's work are mentioned: one that is less rigorous and similar to Boas, praised for its clear explanations, and another that is more advanced and rigorous. Participants suggest exploring both books at a library to determine personal preference.
frogjg2003
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I am a first year physics graduate student. I double majored in math and physics, so I wasn't required to take a math methods in physics course. Looking at the course that was offered at my undergraduate institution, the only topics it covered that I am only deficient in are complex analysis and heat flow.
The textbook for that course was Mathematical Methods in the Physical Sciences by Boas. Is that a good book? Are there other good math methods books out there as well.
 
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I think Boas is pitched at just the right level of rigor (or lack of it; she tends to omit proofs) for getting up to speed quickly.
 
Boas is a nice book, but in my opinion Hassani is much better..
 
Thank you. Is Hassani as (more) rigorous as Boas?
 
yes but more rigorous =/= more useful. boas is fine.
 
frogjg2003 said:
Thank you. Is Hassani as (more) rigorous as Boas?


Well, actually there are two "Hassani's"
There is "Mathematical Methods: For Students of Physics and Related Fields"
https://www.amazon.com/dp/0387095039/?tag=pfamazon01-20
this one is not very rigorous (same as Boas), but it has some very nice explanations.
It's my favorite math-methods book.

The other one is "Mathematical Physics, A Modern Introduction to its Foundations"
https://www.amazon.com/dp/0387985794/?tag=pfamazon01-20
more advanced and rigorous but still a very nice book

Just go to your library and see which one you like..
 
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