**Summary:** The book "Effective Action in Quantum Gravity" by I. L. Buchbinder, S. D. Odintsov, and I. L. Shapiro explores the fundamental concepts and methods of quantum field theory, with a focus on the effective action in quantum gravity. It is structured into three parts, covering quantum field theory, quantum field theory in curved space-time, and selected problems in quantum gravity. Part 1 introduces the basic models of quantum field theory, including scalar, vector, antisymmetric second-rank tensor, and symmetric second-rank tensor fields. The effective action is discussed in the context of these models, with a focus on the functional methods of quantum field theory and the properties of the effective action. Part 2 delves into the quantum theory of interacting fields in curved space-time, emphasizing the renormalization group equations and the behavior of effective coupling constants. The book discusses the renormalization of quantum field theories in curved space-time with torsion and the connection between the effective action and the renormalization group method. Part 3 addresses selected problems in quantum gravity, including higher-derivative quantum gravity, asymptotically free models of grand unification with quantum $ R^2 $ gravity, and multidimensional quantum gravity. The book also covers the quantum properties of torus compactified membranes and the effective action in supergravity and Kaluza-Klein theories. The authors emphasize the importance of the effective action in understanding quantum gravitational interactions and provide a detailed analysis of its properties and applications. The book is intended for researchers and graduate students in high-energy theoretical physics and gravitational theory, offering a comprehensive overview of the subject with a focus on the effective action as a central concept.**Summary:** The book "Effective Action in Quantum Gravity" by I. L. Buchbinder, S. D. Odintsov, and I. L. Shapiro explores the fundamental concepts and methods of quantum field theory, with a focus on the effective action in quantum gravity. It is structured into three parts, covering quantum field theory, quantum field theory in curved space-time, and selected problems in quantum gravity. Part 1 introduces the basic models of quantum field theory, including scalar, vector, antisymmetric second-rank tensor, and symmetric second-rank tensor fields. The effective action is discussed in the context of these models, with a focus on the functional methods of quantum field theory and the properties of the effective action. Part 2 delves into the quantum theory of interacting fields in curved space-time, emphasizing the renormalization group equations and the behavior of effective coupling constants. The book discusses the renormalization of quantum field theories in curved space-time with torsion and the connection between the effective action and the renormalization group method. Part 3 addresses selected problems in quantum gravity, including higher-derivative quantum gravity, asymptotically free models of grand unification with quantum $ R^2 $ gravity, and multidimensional quantum gravity. The book also covers the quantum properties of torus compactified membranes and the effective action in supergravity and Kaluza-Klein theories. The authors emphasize the importance of the effective action in understanding quantum gravitational interactions and provide a detailed analysis of its properties and applications. The book is intended for researchers and graduate students in high-energy theoretical physics and gravitational theory, offering a comprehensive overview of the subject with a focus on the effective action as a central concept.