BOOK REVIEWS

BOOK REVIEWS

DECEMBER 1978 | Unknown Author
The article presents reviews of several academic books on topics related to mathematical physics and engineering. The first book is a comprehensive account of the finite-element method for elliptic problems, written by an expert in the field. It covers various aspects of the method, including numerical integration, nonconforming elements, and mixed finite elements. The book is well-structured, with a detailed bibliography and index, and is recommended as a reference for students and researchers in finite-element methods. The second book, "Unidirectional Wave Motions," by H. Levine, provides a thorough treatment of wave problems governed by hyperbolic partial differential equations. It covers a wide range of topics, including wave motion in strings, kinematics and kinetics of wave motion, and wave mechanics. The book emphasizes both mathematical methods and physical phenomena, and is recommended as a reference for students and researchers interested in wave theory. The third book, "A First Course in Continuum Mechanics," by Y. C. Fung, is a well-organized text that covers essential topics in continuum mechanics. It is suitable for students who have mastered the material and are ready for more advanced courses. The book is praised for its clear explanations and practical applications. The fourth book, "Numerical Analysis of Spectral Methods: Theory and Application," by David Gottlieb and Steven A. Orszag, is aimed at those interested in both the theoretical and practical applications of spectral methods. The first part of the book provides a detailed foundation, while the second part contains practical applications. However, the second part is criticized for being inadequate and unsubstantiated. The final book, "Stress Waves in Nonelastic Solids," by W. K. Nowacki, is a collection of solutions to specific wave-propagation problems in elastic/plastic and elastic/viscous media. While the content is well-organized, some statements are unclear or questionable, possibly due to translation from Polish. The book includes a bibliography, name index, and subject index.The article presents reviews of several academic books on topics related to mathematical physics and engineering. The first book is a comprehensive account of the finite-element method for elliptic problems, written by an expert in the field. It covers various aspects of the method, including numerical integration, nonconforming elements, and mixed finite elements. The book is well-structured, with a detailed bibliography and index, and is recommended as a reference for students and researchers in finite-element methods. The second book, "Unidirectional Wave Motions," by H. Levine, provides a thorough treatment of wave problems governed by hyperbolic partial differential equations. It covers a wide range of topics, including wave motion in strings, kinematics and kinetics of wave motion, and wave mechanics. The book emphasizes both mathematical methods and physical phenomena, and is recommended as a reference for students and researchers interested in wave theory. The third book, "A First Course in Continuum Mechanics," by Y. C. Fung, is a well-organized text that covers essential topics in continuum mechanics. It is suitable for students who have mastered the material and are ready for more advanced courses. The book is praised for its clear explanations and practical applications. The fourth book, "Numerical Analysis of Spectral Methods: Theory and Application," by David Gottlieb and Steven A. Orszag, is aimed at those interested in both the theoretical and practical applications of spectral methods. The first part of the book provides a detailed foundation, while the second part contains practical applications. However, the second part is criticized for being inadequate and unsubstantiated. The final book, "Stress Waves in Nonelastic Solids," by W. K. Nowacki, is a collection of solutions to specific wave-propagation problems in elastic/plastic and elastic/viscous media. While the content is well-organized, some statements are unclear or questionable, possibly due to translation from Polish. The book includes a bibliography, name index, and subject index.
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[slides and audio] CBMS-NSF REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS