Mathematical Methods for Engineers and Scientists 1: Complex Analysis, Determinants and Matrices

✍ Scribed by Professor Dr. Kwong-Tin Tang (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2007
• Tongue: English
• Leaves: 326
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages I-X
Front Matter....Pages 1-1
Complex Numbers....Pages 3-60
Complex Functions....Pages 61-106
Complex Series and Theory of Residues....Pages 107-170
Front Matter....Pages 172-172
Determinants....Pages 173-212
Matrix Algebra....Pages 213-254
Eigenvalue Problems of Matrices....Pages 255-312
Back Matter....Pages 313-319

✦ Subjects

Theoretical, Mathematical and Computational Physics;Appl.Mathematics/Computational Methods of Engineering