Best books for partial differential equations and Fourier analysis

[MMS]

Hello everyone,

I'm in need for the best books that you know out there for PDE (Partial Differential Equations) and everything related to Fourier (series, transform, etc.).

Any help would be much appreciated.

Thank you and happy holidays!

 

[DEvens]

For introductory material consider Schaum's Outline. They are relatively cheap. They give the "first path through" the topic, meaning they give the simplest way to do the basic tasks. They are based on solved problems. They are step by step. They give the jargon, and some references to more advanced material.

Just don't let Schaum's be your last text on a topic. They should be introductory material only.