Intended for the undergraduate student majoring in mathematics, physics or engineering, the Sixth Edition of Complex Analysis for Mathematics and Engineering continues to provide a comprehensive, student-friendly presentation of this interesting area of mathematics. The authors strike a balance between the pure and applied aspects of the subject, and present concepts in a clear writing style that is appropriate for students at the junior/senior level.
Through its thorough, accessible presentation and numerous applications, the sixth edition of this classic text allows students to work through even the most difficult proofs with ease. New exercise sets help students test their understanding of the material at hand and assess their progress through the course. Additional Mathematica and Maple exercises are available online.
Features & Benefits
- New material on the origin of complex numbers
- New exercises help students work through and understand key concepts
- The essential details of residues and conformal mappings are included
- A chapter on z-transforms illustrates the area of digital signal filtering
- Applications include steady state temperatures, fluid flow, and electrostatics
- Fourier series are used to solve the Dirichlet problem in the unit disk
- Solutions to the odd-numbered problems are included as an appendix
- Additional exercises using Maple and Mathematica are available online
Appropriate for the undergraduate course in complex analysis
Chapter 1 Complex Numbers
Chapter 2 Complex Functions
Chapter 3 Analytic and Harmonic Functions
Chapter 4 Sequences, Julia and Mandelbrot Sets, and Power Series
Chapter 5 Elementary Functions
Chapter 6 Complex Integration
Chapter 7 Taylor and Laurent Series
Chapter 8 Residue Theory
Chapter 9 z-Transforms and Applications
Chapter 10 Conformal Mapping
Chapter 11 Applications of Harmonic Functions
Chapter 12 Fourier Series and the Laplace Transform
John H. Mathews-California State University, Fullerton
John Mathews earned his Ph. D. in Complex Analysis from Michigan State University and is an emeritus professor of mathematics at California State University Fullerton. His research interests include Numerical Methods and Complex Analysis and he has co-authored books in both areas and authored numerous articles on how to enhance teaching mathematics with the use of Matlab, Maple and Mathematica.
Russell W. Howell-Westmont College
Russell Howell (M.Sc., Computer Science, University of Edinburgh; Ph.D., Mathematics, The Ohio State University) has taught undergraduates and graduates at a variety of institutions including Calvin College and the University of Maryland. He currently is Professor of Mathematics at Westmont College. He specialties in Complex Analysis and connections of Mathematics with Philosophy and Faith. He has been twice awarded as Teacher of the Year at Westmont.