The chapter introduces the book "Iterated Maps on the Interval as Dynamical Systems" by Pierre Collet and Jean-Pierre Eckmann, which is part of the Modern Birkhäuser Classics series. The book, originally published in 1980, is reprinted to ensure its accessibility to new generations of students, scholars, and researchers. It focuses on the study of continuous maps of an interval into itself, which serve as simple models for dynamical systems. The authors aim to explain the mathematical theory to mathematicians and theoretical physicists, while also encouraging experimentalists to explore more of these phenomena. The book is divided into three parts: Part I covers motivation and interpretation, Part II discusses the properties of individual maps, and Part III examines the properties of one-parameter families of maps. The authors emphasize that the study of one-dimensional maps is not just a mathematical curiosity but a way to understand simplifying features of dissipative dynamical systems, which often exhibit erratic, aperiodic, or turbulent behavior. They highlight the importance of universal scaling in one-parameter families of maps and its relevance to various natural and economic systems. The introduction also acknowledges the contributions of other researchers, such as J. Guckenheimer, M. Misiurewicz, H. Koch, and O. Lanford, and expresses gratitude to various institutions and individuals for their support and contributions to the book's development.The chapter introduces the book "Iterated Maps on the Interval as Dynamical Systems" by Pierre Collet and Jean-Pierre Eckmann, which is part of the Modern Birkhäuser Classics series. The book, originally published in 1980, is reprinted to ensure its accessibility to new generations of students, scholars, and researchers. It focuses on the study of continuous maps of an interval into itself, which serve as simple models for dynamical systems. The authors aim to explain the mathematical theory to mathematicians and theoretical physicists, while also encouraging experimentalists to explore more of these phenomena. The book is divided into three parts: Part I covers motivation and interpretation, Part II discusses the properties of individual maps, and Part III examines the properties of one-parameter families of maps. The authors emphasize that the study of one-dimensional maps is not just a mathematical curiosity but a way to understand simplifying features of dissipative dynamical systems, which often exhibit erratic, aperiodic, or turbulent behavior. They highlight the importance of universal scaling in one-parameter families of maps and its relevance to various natural and economic systems. The introduction also acknowledges the contributions of other researchers, such as J. Guckenheimer, M. Misiurewicz, H. Koch, and O. Lanford, and expresses gratitude to various institutions and individuals for their support and contributions to the book's development.