The book *Level Set Methods and Dynamic Implicit Surfaces* by Stanley Osher and Ronald Fedkiw is designed to introduce readers to the concepts of implicit surfaces and level set methods. The first two parts of the book (Parts I and II) are introductory and suitable for students with a basic math background, covering the fundamentals of implicit functions, signed distance functions, and level set methods. These chapters provide detailed information to enable students to write their own level set codes. Parts III and IV delve into more advanced topics based on the authors' research, including image processing, computer vision, and computational physics. These parts include thorough explanations, numerical recipes, and references to allow readers to grasp the material deeply. The book also highlights the wide range of applications of level set methods, such as epitaxial growth, optimal design, CAD, MEMS, and optimal control. The preface acknowledges the contributions of numerous colleagues and the support from various agencies, emphasizing the collaborative nature of the research and the importance of the field's rapid growth. The book is intended to serve as a comprehensive resource for both beginners and advanced users, providing a self-contained course in the appropriate numerical analysis and practical applications.The book *Level Set Methods and Dynamic Implicit Surfaces* by Stanley Osher and Ronald Fedkiw is designed to introduce readers to the concepts of implicit surfaces and level set methods. The first two parts of the book (Parts I and II) are introductory and suitable for students with a basic math background, covering the fundamentals of implicit functions, signed distance functions, and level set methods. These chapters provide detailed information to enable students to write their own level set codes. Parts III and IV delve into more advanced topics based on the authors' research, including image processing, computer vision, and computational physics. These parts include thorough explanations, numerical recipes, and references to allow readers to grasp the material deeply. The book also highlights the wide range of applications of level set methods, such as epitaxial growth, optimal design, CAD, MEMS, and optimal control. The preface acknowledges the contributions of numerous colleagues and the support from various agencies, emphasizing the collaborative nature of the research and the importance of the field's rapid growth. The book is intended to serve as a comprehensive resource for both beginners and advanced users, providing a self-contained course in the appropriate numerical analysis and practical applications.