A Review of Complex Analysis

High Quality Content by WIKIPEDIA articles! This book is dedicated to the subject of the complex analysis and related topics. Complex Analysis is intended for advanced undergraduates in science and mathematics. It is concise yet thorough and covers each of the most important aspects of complex analysis. Complex analysis has important applications in mathematics and most, if not all, areas of physics. A large number of proofs and derivations of theorems and identities are covered in the book including: complex numbers, the complex plane, Euler's formula, roots of unity, analytic, holomorphic and meromorphic functions, Cauchy-Riemann equations, line integrals, methods of contour integration, Cauchy's integral theorem, Cauchy's integral formula, Laurent series, residues, the residue theorem, and Riemann surfaces.