Mathematical Methods for Engineers and Scientists 3: Fourier Analysis, Partial Differential Equations and Variational Methods

Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The text has a discursive style that is readable and easy to follow. It contains references to computer algebraic systems for symbolic manipulations, and to computer program packages for large scale numerical calculations. The goal is to make students comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.