Complex Analysis and Applications

Focusing on complex analysis, this textbook introduces key theories while highlighting the significance of Poincare and Hartog's theorems in the study of multiple complex variables. It serves as a foundational resource for advanced studies in various fields, including analysis, linear algebra, numerical analysis, geometry, number theory, and physics, particularly in hydrodynamics, thermodynamics, and electrical engineering. The book is designed to equip students with essential concepts for future academic pursuits.