The book "Nonlinear Problems in Elasticity" by Stuart S. Antman, second edition, is a comprehensive treatment of nonlinear elasticity, covering both theoretical and practical aspects. It provides a detailed account of the mathematical formulations and physical principles underlying nonlinear elasticity, with a focus on the analysis of complex problems in solid mechanics. The book is structured into chapters that explore various aspects of nonlinear elasticity, including the equations of motion for extensible strings, planar steady-state problems for elastic rods, bifurcation theory, variational methods, and the theory of rods deforming in space. It also addresses problems in nonlinear elasticity, large-strain plasticity, and general theories of rods and shells. The book is intended for scientists, engineers, and mathematicians who wish to understand the rigorous treatment of nonlinear problems in elasticity. It emphasizes the formulation of constitutive hypotheses and their effects on solutions, while maintaining a balance between mathematical precision and physical insight. The text includes a variety of exercises and problems, designed to help readers develop a deep understanding of the subject. It also provides a thorough formulation of three-dimensional continuum mechanics, the analysis of nonlinear elasticity problems, and an account of large-strain plasticity. The book is based on the author's lectures and research, and it reflects his extensive experience in the field. It includes a detailed discussion of the historical development of the subject, as well as the latest research results and refinements of older material. The text is supported by a comprehensive set of references and an extensive index, making it a valuable resource for both students and researchers in the field of nonlinear elasticity. The book is written in a clear and accessible manner, with a focus on the application of mathematical methods to physical problems. It is an essential reference for anyone interested in the study of nonlinear elasticity and its applications in engineering and physics.The book "Nonlinear Problems in Elasticity" by Stuart S. Antman, second edition, is a comprehensive treatment of nonlinear elasticity, covering both theoretical and practical aspects. It provides a detailed account of the mathematical formulations and physical principles underlying nonlinear elasticity, with a focus on the analysis of complex problems in solid mechanics. The book is structured into chapters that explore various aspects of nonlinear elasticity, including the equations of motion for extensible strings, planar steady-state problems for elastic rods, bifurcation theory, variational methods, and the theory of rods deforming in space. It also addresses problems in nonlinear elasticity, large-strain plasticity, and general theories of rods and shells. The book is intended for scientists, engineers, and mathematicians who wish to understand the rigorous treatment of nonlinear problems in elasticity. It emphasizes the formulation of constitutive hypotheses and their effects on solutions, while maintaining a balance between mathematical precision and physical insight. The text includes a variety of exercises and problems, designed to help readers develop a deep understanding of the subject. It also provides a thorough formulation of three-dimensional continuum mechanics, the analysis of nonlinear elasticity problems, and an account of large-strain plasticity. The book is based on the author's lectures and research, and it reflects his extensive experience in the field. It includes a detailed discussion of the historical development of the subject, as well as the latest research results and refinements of older material. The text is supported by a comprehensive set of references and an extensive index, making it a valuable resource for both students and researchers in the field of nonlinear elasticity. The book is written in a clear and accessible manner, with a focus on the application of mathematical methods to physical problems. It is an essential reference for anyone interested in the study of nonlinear elasticity and its applications in engineering and physics.