This book, "Stability and Oscillations in Delay Differential Equations of Population Dynamics" by K. Gopalsamy, is part of the "Mathematics and Its Applications" series. It focuses on the mathematical analysis of delay differential equations, particularly those used in population dynamics. The author aims to provide a comprehensive guide to the stability and oscillation theory of autonomous delay differential equations, making the advanced techniques accessible to researchers and graduate students. The book covers various topics, including the delay logistic equation, delay-induced bifurcation to periodicity, methods of linear analysis, global attractivity, and models of neutral differential systems. Each chapter includes exercises to reinforce the concepts discussed, and the book is designed to be self-contained, with essential background material embedded in the text. The author emphasizes the importance of understanding the mathematical foundations of delay differential equations and their applications in fields such as mathematical ecology and population dynamics.This book, "Stability and Oscillations in Delay Differential Equations of Population Dynamics" by K. Gopalsamy, is part of the "Mathematics and Its Applications" series. It focuses on the mathematical analysis of delay differential equations, particularly those used in population dynamics. The author aims to provide a comprehensive guide to the stability and oscillation theory of autonomous delay differential equations, making the advanced techniques accessible to researchers and graduate students. The book covers various topics, including the delay logistic equation, delay-induced bifurcation to periodicity, methods of linear analysis, global attractivity, and models of neutral differential systems. Each chapter includes exercises to reinforce the concepts discussed, and the book is designed to be self-contained, with essential background material embedded in the text. The author emphasizes the importance of understanding the mathematical foundations of delay differential equations and their applications in fields such as mathematical ecology and population dynamics.