Advanced Mathematics for 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.

Table of Contents
/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/