Complex analysis has become of great importance today in all fields of mathematical sciences, which play a significant role in building modern societies. This is due to its substantial importance in various crucial life applications, especially in physics. It is now taught in various universities. Given its importance and the urgent need for it by students, this book was written in an attempt to enrich the subject with important sources, including many examples in each chapter to reinforce and clarify the definitions, laws, or theories presented. At the end of each chapter, a number of exercises are provided to help with practice and to improve the reader's ability to understand this material. This book consists of nine chapters. The first chapter provides a general introduction to complex numbers. The second chapter covers defining regions in the complex plane. The third chapter deals with the differentiation of complex functions, discussing limits, continuity, and derivatives. The fourth chapter covers basic complex functions to give the reader a good understanding and enable them to connect what they need for the subject. The fifth chapter addresses the very important topic of analytic functions and their significance in building the concept of complex analysis. In the sixth chapter, we discuss complex integration through Cauchy's integral formula and all related aspects, which represents the core foundation of analysis theory. Due to the need for series in the residue theorem, we covered this topic in the seventh chapter through Taylor, Maclaurin, and Laurent series. In the eighth chapter, we arrive at the residue theorem, through which, along with the concept of analytic functions, we can easily find difficult integrals. This effort is then reinforced with some physical applications in the ninth chapter to complete the subject's concept. It is worth noting that a set of exercises is placed at the end of each chapter to aid in understanding the topic, and the chapters have been structured in a somewhat different style to facilitate the presentation of the material.

• Number of Pages: 182
• Year of Publication: 2016
• Binding Type: Cardboard Cover
• Edition Number: 1
• Print Color: Black
• Dimensions (cm): 17x24
• Weight (kg): 0.500
• Barcode: 9789957971007