Last modified on 26 November 2013, at 23:18

Advanced Mathematics for Engineers and Scientists

This book has been moved from its previous location as the wikibook Partial Differential Equations, it is currently under significant re-design to tune the material to the needs of engineers and scientists.

An all-in-one Printable Version is available. Partial differential equations may hurt your eyes and a computer monitor doesn't help, so printing is recommended.

The Front Cover

Introduction to Partial Differential Equations

Introductory Topics and Techniques

Parallel Plate Flow: Easy IC
Parallel Plate Flow: Realistic IC
Change of Variables
The Laplacian and Laplace's Equation

Fundamentals

Introduction and Classifications
Vector Spaces: Mathematic Playgrounds
Nondimensionalization
Details and Applications of Fourier Series

Moving On

Using the Rayleigh Quotient

Numeric Methods

Finite Difference Method
Method of Lines

Other Topics

Scale Analysis
Eigenfunction Expansion