Although Continuum Mechanics belongs to a traditional topic, the research in this field has never been stopped. The goal of this book is to introduce the latest progress in the fundamental aspects and the applications in various engineering areas. The first three chapters are on the fundamentals of Continuum Mechanics. Chapter 1 introduces the Spencer Operator and presents the applications of this useful operator in solving Continuum Mechanics problems. The authors extend the ideas for tackling general Mathematical Physics problems. Chapter 2 is on Transversality Condition. The author clearly defines the transversality and provides a rigorous derivation for the problem. In Chapter 3, fluid is treated as the.