A Course in Mathematical Analysis

A Course in Mathematical Analysis by Edouard Goursat delves into the intricate world of complex analysis power series and analytic functions. The book explores the convergence of series differentiation and the representation of complex functions using power series. It discusses fundamental tools like the Riemann sum definite integrals and the argument principle in the theory of equations. With a focus on complex analysis theorems the book covers topics such as residues Cauchy theory and the distribution of zeros and poles of analytic functions. Through detailed explanations and examples it provides a comprehensive overview of mathematical analysis concepts and applications.