Master the fundamentals of complex marine systems with this introduction to marine dynamics, vibrations, hydrodynamics, and stochastic processes. It connects key theoretical concepts, including as the velocity potential, impulsive force and L'Hospital's rule, to real-world marine engineering applications such as such as marine platform dynamics, extreme motions and exceedance probabilities, and includes over 60 multi-part end-of-chapter problems, building from simplified questions to advanced exercises, enabling students to grow in confidence towards solving complex questions. Students will gain a deep understanding effective design and safe operation of offshore systems and ocean resources; and is supported by downloadable Matlab code, and online solutions for instructors. Including over 300 full-colour illustrations and worked examples, drawing on the author's 45 years of teaching experience in marine dynamics, this textbook provides the ideal introduction to marine dynamics for senior undergraduate and graduate students in marine engineering, and is a comprehensive reference for practitioners in industry.