This work explores a history of complex numbers in their development as a fundamental tool in mathematics. It begins with the study of solving cubic equations, examining the challenges faced by mathematicians in understanding the concept of the square root of -1, culminating in the formation of complex numbers and their properties, the study of complex numbers then advances to encompass complex functions, exploring their applications and importance in various areas. The work discusses the practical use of complex numbers in electrical circuits, signal processing, and quantum mechanics. By investigating these applications, the work highlights the role played by complex numbers in modern scientific and technological advancements. To support its research, the work draws upon historical texts, offering a comprehensive view of the historical development and conceptual understanding of complex numbers and highlighting the contributions of renowned mathematicians throughout history, revealing their struggles and advancements.
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