Introduction to Complex Analysis: College Mathematics Series

Introduction to Complex Analysis is a comprehensive textbook written by Zeev Nehari, designed for college students studying mathematics. The book covers the fundamental concepts of complex analysis, including complex numbers, analytic functions, Cauchy-Riemann equations, contour integration, power series, and Laurent series. It also explores more advanced topics such as conformal mapping, the maximum modulus principle, and the argument principle. The book is divided into 11 chapters, each with numerous examples and exercises to help students understand the material. The first chapter introduces complex numbers and the basic operations of addition, subtraction, multiplication, and division. The subsequent chapters delve deeper into the properties of complex functions and their derivatives, including the Cauchy-Riemann equations and the Cauchy integral formula. Later chapters explore topics such as singularities, residues, and the calculus of residues, and the theory of conformal mapping. The book also includes a detailed discussion of the Riemann mapping theorem and its applications.Overall, Introduction to Complex Analysis is a valuable resource for students studying mathematics, physics, engineering, and other related fields. It provides a clear and concise introduction to the concepts and techniques of complex analysis, and is an essential reference for anyone interested in this fascinating branch of mathematics.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.