"Analytic Functions of a Complex Variable: A Textbook for Physics and Mathematics Specialized Universities" by I.A. Alexandrov and V.V. Sobolev offers a profound and engaging exploration of one of the most fascinating and challenging areas of mathematics. This comprehensive guide is an invaluable resource for students, graduate researchers, and educators eager to understand the intricacies of analytic functions and their applications in physics and mathematics. At the heart of the book are analytic functions, which play a crucial role across various scientific fields—from electrical circuit theory to quantum mechanics. Drawing on their extensive teaching and research experience, the authors present not only rigorous theoretical explanations but also practical examples that help deepen understanding. They skillfully clarify complex concepts, making them accessible and comprehensible to a broad audience. The book covers a wide range of topics, including the fundamental properties of analytic functions, derivatives, integrals, and series. It also discusses key theorems such as Cauchy’s theorem and Riemann’s theorem, which form the foundation of complex analysis. Each chapter is accompanied by exercises designed to reinforce the material and develop analytical thinking, transforming this textbook into both an educational and practical tool for solving real-world problems. "Analytic Functions of a Complex Variable" will be especially beneficial for students in physics and mathematics majors, as well as those interested in applied mathematics and its scientific applications. Whether you are a student, a postgraduate, or simply a math enthusiast looking to deepen your knowledge of complex analysis, this book promises to be a true revelation. It will also appeal to instructors seeking high-quality teaching materials. The topics addressed extend beyond pure mathematical concepts, emphasizing the connection between analytic functions and real physical processes. This focus makes the material particularly relevant for students and professionals working in physics and engineering. The authors highlight the importance of complex analysis in modern science and demonstrate how mathematical theories can be applied to solve practical problems. With clarity and accessibility, Alexandrov and Sobolev make complex ideas understandable, making this work attractive to a wide readership. Both are renowned scientists who have made significant contributions to the development of mathematics. Their previous publications are also highly regarded, and many familiar with their work will appreciate this latest contribution. If you are seeking quality literature on analytic functions, this textbook is an excellent choice. It will not only expand your knowledge but also inspire further exploration in mathematics and physics. "Analytic Functions of a Complex Variable" is more than just a textbook—it's a valuable discovery for anyone eager to grasp and master the intricate, yet captivating, aspects of mathematical analysis.