A Solid Calculus and beyond Text

[physman88]

hey all,

I DO NOT KNOW THE BEST FORUM TO PUT THIS! So i chose calculus...

I am a junior physics/mathematics double major. I am looking for a good math book to really get in depth on some of these topics. I have had Calc 1-3, ODE, PDE, and a special functions class (Legendre, Laguerre, Bessel functions etc.) and i am looking for a really good math book that has more background on all of these topics, especially PDE and its outreaches. I have Mathematical Methods in the Physical Sciences by Boas, and I currently have from the library Mathematical Methods for the Physical Sciences by K.F. Riley that I really like, but can't seem to find in hardcover anywhere to purchase.

My question is, what do you suggest for further study?

The library here has a huge mathematics/physics section so i can check most any book out before I purchase anything. I would really like the math to be geared toward physics or at least the physical science. Although a good math book that's not applied would be sufficient.

Thanks!

 

[nicksauce]

You could try checking out Arfken's mathematical methods book and see if you like it.

 

[physman88]

I have checked that one out, and didnt really like it. It was an older model of the book though.

I recently looked at:

-Mathematical Methods for Physics and Engineering by K.F. Riley. I really like the older edition of the book from like 1974 which my library has and I am currently using for Fourier Transforms. I like the older edition, and the new seems to have more topics and has great reviews.

https://www.amazon.com/dp/0521679710/?tag=pfamazon01-20


-Mathematics for Physics and Physicists by W. Appel. This seems to be okay, my library has it. I haven't looked too deep into it.

https://www.amazon.com/dp/0691131023/?tag=pfamazon01-20


Anyone have any ups or downs to either of these two?