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

by Kwong-Tin Tang

Overview

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 goal is to make students comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Product Details

ISBN-13:	9783540446958
Publisher:	Springer Berlin Heidelberg
Publication date:	02/02/2007
Edition description:	2007
Pages:	440
Product dimensions:	6.10(w) x 9.25(h) x 0.36(d)

About the Author

K.T. Tang received his B.S. in Engineering Physics and M.A. in Mathematics from University of Washington and his Ph.D. in Physics from Columbia University. He did postdoctoral studies in Chemistry at Berkeley and Harvard. He worked as an engineer at Collins Radio Company and Boeing Company. Dr. Tang regards teaching as his calling, although his research accomplishments are also considerable. He authored/co-authored over 130 research papers in professional journals and a monograph "Asymptotic Methods in Quantum Mechanics". He lectured widely in Asia, Europe, and North America. He had been a long-term visiting scientist at Max-Planck-Institut in Göttingen. He is a recipient of a Distinguished U.S. Senior Scientist Award from Alexander von Humboldt Foundation and a Faculty Excellence Award from Pacific Lutheran University where he is Professor of Physics.

Table of Contents

Fourier Analysis.- Fourier Series.- Fourier Transforms.- Sturm–Liouville Theory and Special Functions.- Orthogonal Functions and Sturm–Liouville Problems.- Bessel and Legendre Functions.- Partial Differential Equations.- Partial Differential Equations in Cartesian Coordinates.- Partial Differential Equations with Curved Boundaries.- Variational Methods.- Calculus of Variation.