The provided text is a compilation of book reviews from the American Mechanical Review (AMR), covering a wide range of topics in engineering, physics, and applied mathematics. The reviews are categorized into two main sections: "Foundations & Basic Methods" and "Dynamics & Vibration." Each review includes a brief summary of the book's content, its intended audience, and the reviewer's assessment of its value and quality. In the "Foundations & Basic Methods" section, the reviews focus on foundational texts in computational fluid dynamics, mechanical behavior of materials, and random heterogeneous materials. The first book, "Fundamentals of Computational Fluid Dynamics," is praised for its clear and organized presentation of mathematical fundamentals and its suitability as a textbook for students. However, it is noted that the book is more theoretical than practical. The second book, "Mechanical Behavior of Engineering Materials," is described as a solid reference with a comprehensive coverage of static and quasi-static mechanics. The third book, "Random Heterogeneous Materials," is highlighted for its rigorous statistical characterization of microstructures and its relevance to the mathematical analysis of random structures. In the "Dynamics & Vibration" section, the reviews cover advanced topics in dynamics, shock waves, and vibration of mechanical systems. The first book, "Advanced Dynamics," is recommended for its thorough treatment of analytical mechanics and its suitability for graduate students and researchers. The second book, "Advances in the Theory of Shock Waves," is praised for its detailed mathematical treatment of shock wave solutions and its relevance to both mathematics and cosmology. The third book, "Flow-Induced Vibration of Power and Process Plant Components," is noted for its practical approach to the analysis of vibration in industrial settings. The fourth book, "Nonlinear Hyperbolic Waves in Multi-Dimensions," is described as a comprehensive text on nonlinear wave propagation, suitable for advanced undergraduate and graduate students. The fifth book, "Transient Aerohydroelasticity of Spherical Bodies," is noted for its technical depth and focus on transient interactions of deformable bodies with surrounding media. The sixth book, "Vibration of Strongly Nonlinear Discontinuous Systems," is criticized for its limited scope and outdated references, despite its contributions to vibro-impact systems. The seventh book, "Virtual Testing of Mechanical Systems," is recommended for its clear presentation and suitability as an introductory text for users of the FEDEM simulation code. Overall, the reviews highlight the importance of these texts in their respective fields, emphasizing their value as educational resources and references for researchers and practitioners. The reviews also note the varying levels of technical detail and practical applicability of the books, suggesting that they cater to different audiences and purposes.The provided text is a compilation of book reviews from the American Mechanical Review (AMR), covering a wide range of topics in engineering, physics, and applied mathematics. The reviews are categorized into two main sections: "Foundations & Basic Methods" and "Dynamics & Vibration." Each review includes a brief summary of the book's content, its intended audience, and the reviewer's assessment of its value and quality. In the "Foundations & Basic Methods" section, the reviews focus on foundational texts in computational fluid dynamics, mechanical behavior of materials, and random heterogeneous materials. The first book, "Fundamentals of Computational Fluid Dynamics," is praised for its clear and organized presentation of mathematical fundamentals and its suitability as a textbook for students. However, it is noted that the book is more theoretical than practical. The second book, "Mechanical Behavior of Engineering Materials," is described as a solid reference with a comprehensive coverage of static and quasi-static mechanics. The third book, "Random Heterogeneous Materials," is highlighted for its rigorous statistical characterization of microstructures and its relevance to the mathematical analysis of random structures. In the "Dynamics & Vibration" section, the reviews cover advanced topics in dynamics, shock waves, and vibration of mechanical systems. The first book, "Advanced Dynamics," is recommended for its thorough treatment of analytical mechanics and its suitability for graduate students and researchers. The second book, "Advances in the Theory of Shock Waves," is praised for its detailed mathematical treatment of shock wave solutions and its relevance to both mathematics and cosmology. The third book, "Flow-Induced Vibration of Power and Process Plant Components," is noted for its practical approach to the analysis of vibration in industrial settings. The fourth book, "Nonlinear Hyperbolic Waves in Multi-Dimensions," is described as a comprehensive text on nonlinear wave propagation, suitable for advanced undergraduate and graduate students. The fifth book, "Transient Aerohydroelasticity of Spherical Bodies," is noted for its technical depth and focus on transient interactions of deformable bodies with surrounding media. The sixth book, "Vibration of Strongly Nonlinear Discontinuous Systems," is criticized for its limited scope and outdated references, despite its contributions to vibro-impact systems. The seventh book, "Virtual Testing of Mechanical Systems," is recommended for its clear presentation and suitability as an introductory text for users of the FEDEM simulation code. Overall, the reviews highlight the importance of these texts in their respective fields, emphasizing their value as educational resources and references for researchers and practitioners. The reviews also note the varying levels of technical detail and practical applicability of the books, suggesting that they cater to different audiences and purposes.