Introduction to Partial Differential Equations: A Computational Approach (Texts in Applied Mathematics, Vol. 29)
|Rating||:||4.59 (951 Votes)|
|Number of Pages||:||412 Pages|
"Well written, motivational and rigorous." according to Håvard Wall. This book cover the basics of partial differential equations. It's well written, motivational, and balanced rigorous. It contains a lot of good exercises which is a necessity for a beginner in this field. I read this book during a university course in the subject. I struggled. But in my opinion this book is pretty close to the ideal presented by Einstein: "Everything should be made as simple as possible, but no simpler".
Some elementary knowledge of ordinary differential equations is also preferable.. In addition, special projects are included, containing step by step hints and instructions, to help guide students in the correct way of approaching partial differential equations. Great care has been taken throughout the book to seek a sound balance between the analytical and numerical techniques. Standard topics such as separation of variables, Fourier analysis, maximum principles and energy estimates are included. Numerical methods are introduced in parallel to the classical theory. Numerical methods are included in the book to show the significance of computation