Mathematical Methods for Engineers and Scientists 1: Complex Analysis, Determinants and Matrices (v. 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. The topics of this set of student-oriented books 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 help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses. 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 1. Complex Analysis, Determinants And Matrices -- 2. Vector Analysis, Ordinary Differential Equations And Laplace Transforms -- 3. Fourier Analysis, Partial Differential Equations And Variational Methods. K. T. Tang. Includes Bibliographical References And Indexes.