The book "Mathematical Foundations of Elasticity" by Jerrold E. Marsden and Thomas J. R. Hughes is a comprehensive treatise on the mathematical foundations of three-dimensional elasticity, using modern differential geometry and functional analysis. Intended for mathematicians, engineers, and physicists, the book aims to provide a modern perspective on classical elasticity and demonstrate the contributions of newer mathematical tools. The content is structured into several chapters, covering topics such as the geometry and kinematics of bodies, balance laws and inequalities, constitutive theory, linearization, Hamiltonian systems, functional analysis, and bifurcation theory. The book is suitable for beginning graduate students with a strong background in advanced calculus and a willingness to engage deeply with the material. It includes helpful features like formula summaries and references to the literature, making it a valuable resource for those interested in the modern approach to elasticity. The authors' light-hearted tone adds a touch of humor to the serious subject matter, enhancing the reading experience. Overall, the book is highly recommended for mathematicians, physicists, and engineers looking to deepen their understanding of elasticity in a modern context.The book "Mathematical Foundations of Elasticity" by Jerrold E. Marsden and Thomas J. R. Hughes is a comprehensive treatise on the mathematical foundations of three-dimensional elasticity, using modern differential geometry and functional analysis. Intended for mathematicians, engineers, and physicists, the book aims to provide a modern perspective on classical elasticity and demonstrate the contributions of newer mathematical tools. The content is structured into several chapters, covering topics such as the geometry and kinematics of bodies, balance laws and inequalities, constitutive theory, linearization, Hamiltonian systems, functional analysis, and bifurcation theory. The book is suitable for beginning graduate students with a strong background in advanced calculus and a willingness to engage deeply with the material. It includes helpful features like formula summaries and references to the literature, making it a valuable resource for those interested in the modern approach to elasticity. The authors' light-hearted tone adds a touch of humor to the serious subject matter, enhancing the reading experience. Overall, the book is highly recommended for mathematicians, physicists, and engineers looking to deepen their understanding of elasticity in a modern context.