Fourier Analysis, Eigenfunction Expansions, and Partial Differential Eqations - 7923

This textbook is a succinct introduction to Partial Differential Equations designed for a graduate-level engineering course. It is highly structured with the development of the necessary background material leading chapter-by-chapter to analytically solving linear Partial Differential Equations. The first chapter introduces solution techniques for linear ordinary differential equation and the second chapter goes on to solving more complex linear equations using the power-series method. Here the important classes of special functions (such as Legendre polynomials and Bessel functions) are treated. The third chapter goes on to developing Fourier Series and Integrals, including two-variable expansions, and generalization of the concept of orthogonal series to a wider class of functions (Sturm-Liouville Theory). This background eases in the development of analytical techniques to linear Partial Differential Equations. The fourth fifth and sixth chapters are dedicated to solutions methods in cartesian, cylindrical and spherical coordinates, respectively with examples pertaining to heat/mass transfer and fluid mechanics. The author, Dr Satwindar Singh Sadhal, is a Professor of Aerospace Mechanical Engineering and Ophthalmology at the University of Southern California. As an educator, Professor Sadhal has over 45 years of experience in teaching at the college level and mentored numerous engineering students.
ASIN: 0991368312
VSKU: BVV.0991368312.G
Condition: Good
Author/Artist:Sadhal, Satwindar Singh
Binding: Paperback