Complex Analysis for Mathematics and Engineering Third Edition John H. Mathews
In this ebook, the purpose of the first six chapters is to lay the foundations for the study of complex analysis and develop the topics of analytic and harmonic functions, the elementary functions, and contour integration. If the goal is to study series and the residue calculus and applications, then Chapters 7 and 8 can be covered. If con-formal mapping and applications of harmonic functions are desired, then Chapters 9 and 10 can be studied after Chapter 6. A new Chapter 11 on Fourier and Laplace transforms has been added for courses that emphasize more applications.
The chapters are in this book as by following :
Chapter 1 Complex Numbers
Chapter 2 Complex Functions
Chapter 3 Analytic and Harmonic Functions
Chapter 4 Sequences, Series, and Julia and Mandelbrot Sets
Chapter 5 125 Page vi Elementary Functions
Chapter 6 Complex Integration
Chapter 7 Taylor and Laurent Series
Chapter 8 Residue Theory
Chapter 9 Conformal Mapping
Chapter 10 Applications of Harmonic Functions
Chapter 11 Fourier Series and the Laplace Transform
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