The book "Compact Complex Surfaces" is a comprehensive survey of the theory of complex surfaces, covering both classical and modern developments. It is divided into several parts, including preliminaries, curves on surfaces, mappings of surfaces, general properties of surfaces, examples, and the Enriques-Kodaira classification. The book also includes a detailed table of contents, with chapters on topics such as complex manifolds, Kähler structures, intersection theory, fibrations, and the period map. The second edition includes updates on recent developments in the field, such as the use of nef-divisors, Kähler structures, and Reider's approach to adjoint mappings. The authors also correct minor mistakes and incorporate new results from Donaldson and Seiberg-Witten theories. The book is written from a complex-analytic perspective and is intended for both specialists and non-specialists. It includes a detailed bibliography, notation, and index. The book is a valuable resource for researchers and students in algebraic geometry and complex analysis.The book "Compact Complex Surfaces" is a comprehensive survey of the theory of complex surfaces, covering both classical and modern developments. It is divided into several parts, including preliminaries, curves on surfaces, mappings of surfaces, general properties of surfaces, examples, and the Enriques-Kodaira classification. The book also includes a detailed table of contents, with chapters on topics such as complex manifolds, Kähler structures, intersection theory, fibrations, and the period map. The second edition includes updates on recent developments in the field, such as the use of nef-divisors, Kähler structures, and Reider's approach to adjoint mappings. The authors also correct minor mistakes and incorporate new results from Donaldson and Seiberg-Witten theories. The book is written from a complex-analytic perspective and is intended for both specialists and non-specialists. It includes a detailed bibliography, notation, and index. The book is a valuable resource for researchers and students in algebraic geometry and complex analysis.