About the Book: This second edition provides a comprehensive and modern treatment of integral equations, covering both linear and nonlinear Fredholm and Volterra equations of the first and second kinds. The book integrates classical techniques with newly developed methods and presents accessible explanations, numerous examples, practical exercises, and real-world applications from mathematics, science, and engineering. Organized into nine pedagogical chapters—six on linear equations, two on nonlinear equations, and one on applications—it is suitable for advanced undergraduates, graduate students, scholars, and researchers in applied mathematics, science, and engineering.