Hassani's books on Mathematical Physics/Methods

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SUMMARY

Dr. Hassani's books, specifically "Mathematical Methods: For Students of Physics and Related Fields" for beginners and "Mathematical Physics: A Modern Introduction to Its Foundations" for advanced students, are highly recommended for studying mathematical methods applicable to physics and engineering. Users suggest starting with the undergraduate book before progressing to the graduate level. Additionally, the textbook by Professor Orodruin is noted for its comprehensive and rigorous approach, particularly in the section on tensors, which enhances understanding for those with a pure math background.

PREREQUISITES
  • Understanding of standard calculus sequences
  • Knowledge of ordinary differential equations (ODEs)
  • Familiarity with mathematical physics concepts
  • Basic exposure to the calculus of variations
NEXT STEPS
  • Explore "Mathematical Methods: For Students of Physics and Related Fields" by Dr. Hassani
  • Study "Mathematical Physics: A Modern Introduction to Its Foundations" by Dr. Hassani
  • Research the textbook by Professor Orodruin for additional insights
  • Learn about the calculus of variations in depth
USEFUL FOR

Undergraduate and graduate students in physics and engineering, educators seeking comprehensive mathematical resources, and anyone interested in enhancing their understanding of mathematical methods in physics.

Parisi
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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 to do well in future physics courses and also research. Would it be a good idea to start with Hassani's undergraduate book then look into his graduate one, or skip to Mathematical Physics? Or are there any other books that are comprehensive and mathematically rigorous under this branch of books on mathematical methods for the physicist/engineer?
 
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Parisi said:
Or are there any other books that are comprehensive and mathematically rigorous under this branch of books on mathematical methods for the physicist/engineer?
I can personally recommend this textbook by our very own professor @Orodruin

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https://www.amazon.com/Mathematical...ring-Mattias/dp/113805688X/?tag=pfamazon01-20
 
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BTW, if you follow the Amazon link above, you can use the "Read Sample" link below the image to look through the first few pages of the book, including the Table of Contents. This should help to give you an idea of what-all the textbook covers. :smile:
 
Geez. The hardcover is pricey.

BUt it is quality. A friend of myne owns a copy and I skimmed through it. Lots of cool stuff. Will buy a paperback soon. i think the op is better served by Boas due to background information listed.

Having a pure math background. The section on tensors was gold. I tried approaching it from a pure math perspecrive but gave up.However, this book actually showed me how to compute! Which gave me intuition and making more progress on the pure side.

Never being exposed to the Calculus Of Variations, besides a few examples in lecture during a mechanics course. I got the gyst of it from a quick read.
 
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Just received my copy last week. And it is indeed an excellent book. Hopefuly the author writes more books in thr future!
 
MidgetDwarf said:
Just received my copy last week. And it is indeed an excellent book. Hopefuly the author writes more books in thr future!
THe undergrad or the grad book?
 

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