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

✍ Scribed by Allen R. Overman, Richard V. Scholtz III

• Publisher: Springer
• Year: 2006
• Tongue: English
• Leaves: 326
• Series: Books in Soils, Plants, and the Environment
• 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

Title......Page 2
Preface......Page 4
Contents......Page 6
Part I Complex Analysis......Page 10
1 Complex Numbers......Page 11
2 Complex Functions......Page 69
3 Complex Series and Theory of Residues......Page 115
Part II Determinants and Matrices......Page 179
4 Determinants......Page 180
5 Matrix Algebra......Page 220
6 Eigenvalue Problems of Matrices......Page 262
References......Page 320
Index......Page 322