The book reviews cover a range of topics in elasticity and related fields, providing comprehensive overviews and critical analyses of various theories and applications. Key highlights include: 1. **Linear Elasticity by J. M. Ball**: This book develops the essentials of linear elasticity theory, starting from tensor analysis and potential theory, moving to kinematics, dynamics, and constitutive relations. It includes rigorous proofs and is suitable for applied mathematicians and practitioners. 2. **Linear Thermoelasticity by Donald E. Carlson**: This part focuses on the fundamentals of thermoelasticity, avoiding technical solutions. While scholarly, the reviewer finds the use of the Clausius-Duhem inequality unnecessary in the classical theory. 3. **Elasticity Theorems and Boundary-Value Problems by Gaetano Fichera**: These articles delve into key theorems on the existence and uniqueness of solutions to linear boundary-value problems, with applications to classical problems in linear elasticity. The second article extends this analysis to problems with unilateral constraints. 4. **The Theory of Shells and Plates by P. M. Naghdi**: This book presents field equations for elastic plates and shells using two methods: a direct method and an infinite series method. The direct method is clear but faces challenges in constitutive parameter calculation and error estimation. The infinite series method is formal but lacks convergence analysis. 5. **The Theory of Rods by Stuart S. Antman**: This book systematically presents methods for constructing approximate one-dimensional field equations for rods, including projection and deformable line methods. It also covers global existence theorems for planar static problems. 6. **Stress Concentration Factors by R. E. Peterson**: This compendium provides a comprehensive list of elastic stress-concentration factors, derived from 453 references and presented in over 180 graphs. It is a valuable resource for engineering libraries and stress analysis design offices. 7. **Nonlinear and Random Vibrations by F. Dinca and C. Teodosiu**: This book, an English translation of a Romanian edition, covers deterministic and forced vibrations of nonlinear systems, providing a comprehensive treatment of qualitative and quantitative aspects. It includes new results and applications to conservative and dissipative systems. These reviews offer insights into the strengths and limitations of each work, making them valuable resources for researchers and practitioners in the field of elasticity and related areas.The book reviews cover a range of topics in elasticity and related fields, providing comprehensive overviews and critical analyses of various theories and applications. Key highlights include: 1. **Linear Elasticity by J. M. Ball**: This book develops the essentials of linear elasticity theory, starting from tensor analysis and potential theory, moving to kinematics, dynamics, and constitutive relations. It includes rigorous proofs and is suitable for applied mathematicians and practitioners. 2. **Linear Thermoelasticity by Donald E. Carlson**: This part focuses on the fundamentals of thermoelasticity, avoiding technical solutions. While scholarly, the reviewer finds the use of the Clausius-Duhem inequality unnecessary in the classical theory. 3. **Elasticity Theorems and Boundary-Value Problems by Gaetano Fichera**: These articles delve into key theorems on the existence and uniqueness of solutions to linear boundary-value problems, with applications to classical problems in linear elasticity. The second article extends this analysis to problems with unilateral constraints. 4. **The Theory of Shells and Plates by P. M. Naghdi**: This book presents field equations for elastic plates and shells using two methods: a direct method and an infinite series method. The direct method is clear but faces challenges in constitutive parameter calculation and error estimation. The infinite series method is formal but lacks convergence analysis. 5. **The Theory of Rods by Stuart S. Antman**: This book systematically presents methods for constructing approximate one-dimensional field equations for rods, including projection and deformable line methods. It also covers global existence theorems for planar static problems. 6. **Stress Concentration Factors by R. E. Peterson**: This compendium provides a comprehensive list of elastic stress-concentration factors, derived from 453 references and presented in over 180 graphs. It is a valuable resource for engineering libraries and stress analysis design offices. 7. **Nonlinear and Random Vibrations by F. Dinca and C. Teodosiu**: This book, an English translation of a Romanian edition, covers deterministic and forced vibrations of nonlinear systems, providing a comprehensive treatment of qualitative and quantitative aspects. It includes new results and applications to conservative and dissipative systems. These reviews offer insights into the strengths and limitations of each work, making them valuable resources for researchers and practitioners in the field of elasticity and related areas.