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.

A discursive style that is readable and easy to follow yet without slighting relevant mathematics Mathematics are presented in physical and/or historical contexts without stifling formal language Numerous clearly stated, completely worked out examples Carefully selected problem sets with answers to help developing students' manipulative skill and confidence without frustrating and overwhelming them Well organized subjects and detailed table of contents to give students an overview of what they are learning Self-contained chapters so that topics can be selectively studied References to computer algebraic systems for symbolic manipulations, to computer program packages for large scale numerical calculations Includes supplementary material: sn.pub/extras

Autorentext

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.

Inhalt
Fourier Analysis.- Fourier Series.- Fourier Transforms.- SturmLiouville Theory and Special Functions.- Orthogonal Functions and SturmLiouville 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.