Intro Math Hassani's books on Mathematical Physics/Methods

[Parisi]

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?

 

[berkeman]

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

https://www.amazon.com/Mathematical...ring-Mattias/dp/113805688X/?tag=pfamazon01-20

 

[berkeman]

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.

 

[MidgetDwarf]

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.