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
Last modified on 26 November 2013, at 23:18