This book offers an introduction to the theory of functions of a complex variable, an essential mathematical tool with broad applications across physics, astronomy, and engineering. The author begins by reviewing arithmetical operations on complex numbers, then explores the fundamentals of convergence and divergence in the context of series with complex terms. These ideas are extended to functions of a complex variable, leading to discussions on topics like Cauchy's integral theorem and the residue theorem, through which the work develops a solid framework for further study. The author places significant emphasis on the geometric aspects of the subject, offering a visualization of complex numbers and functions that makes intricate concepts more accessible. This geometric approach is particularly valuable in fostering a deep understanding of complex analysis and its applications.

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