Luther College mathematics professor Richard Bernatz has authored a textbook. John Wiley and Sons has published the book, entitled "Fourier Series and Numerical Methods for Partial Differential Equations."
Bernatz's book presents an introduction to analytical and numerical methods essential for working with partial differential equations. It combines methodologies from calculus, introductory linear algebra and ordinary differential equations to share the power of linear spaces and linear transformations for purposes of understanding and solving a wide range of partial differential equations.
The new textbook is intended for use at the upper-undergraduate and graduate levels. It also serves as a resource for researchers and practitioners in the fields of mathematics, science and engineering who work with mathematical modeling of physical phenomena, including diffusion and wave aspects.