This book is a gem, it is simply amazing.
The author introduces PDEs in a fantastic way. He finds always the link
to the application. He is not writing down unmotivated equations, no, he
continously remarks: "What do you think, does the solution is what you expected?"
Every equation is introduced from an engineers/physicists point of view. This is not rigour mathematics but a very good teachers point: This is the condition, this problem has to be solved, so let's solve it.
As an example: The author does not simply expects from you to understand that the second derivative in a PDE is so simple. He writes down the approximation and you see: It is the mean value which is disturbed, you will have some changes in or out... suddenly the diffusion equation makes real sense.
As you can expect from my 5 stars: Yes, the author offers a lot of problems and solutions - but he offers so much more. My book looks grubby meanwhile but I don't care. I have it often in my hands.
Final remarks, for whom this book is NOT written:
- mathematicians with a good understanding in PDEs and not teaching
- same for theoretical physicists or engineers with this good understanding and not teaching
The others: Read it