Complex Analysis for Mathematics and Engineering (Third Edition) by John H. Mathews and Russell W. Howell

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Complex Analysis for Mathematics and Engineering (Third Edition) by John H. Mathews , California State UniversityFullerton and Russell W. Howell, Westmont College
. This is an other great free downloadable mathematics book cover the following topics of complex number.

1. Complex Numbers 1.1 The Origin of Complex Numbers
1.2 The Algebra of Complex Numbers
1.3 The Geometry of Complex Numbers
1.4 The Geometry of Complex Numbers, Continued
1.5 The Algebra of Complex Numbers, Revisited
1.6 The Topology of Complex Numbers

2. Complex Functions 2.1 Functions of a Complex Variable
2.2 Transformations and Linear Mappings
2.3 The Mappings w = zn and w = z1/n
2.4 Limits and Continuity
2.5 Branches of Functions
2.6 The Reciprocal Transformation w = 1/z (Prerequisite for Section 9.2)

3. Analytic and Harmonic Functions 3.1 Differentiable Functions
3.2 The Cauchy-Riemann Equations
3.3 Analytic Functions and Harmonic Functions

4. Sequences, Series, and Julia and Mandelbrot Sets 4.1 Definitions and Basic Theorems for Sequences and Series
4.2 Power Series Functions
4.3 Julia and Mandelbrot Sets