Mathematical Methods for Engineers and Scientists 1

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

Auteur

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.

Contenu
Complex Analysis.- Complex Numbers.- Complex Functions.- Complex Series and Theory of Residues.- Determinants and Matrices.- Determinants.- Matrix Algebra.- Eigenvalue Problems of Matrices.