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BOOK REVIEWSovercoming possible notational barriers.No solutions of specialized technical problems are presented.Instead, the essentials of the theory are developed, beginning with tensor analysis, elements of potential theory, then moving to kinematics, dynamics, and the constitutive relation in linear elasticity, at each stage giving rigorous proofs for a large body of relevant assertions.Then a long chapter in elastostatics and another in elastodynamics complete this work which can serve as an excellent text for applied mathematicians interested in elasticity, and as a solid reference book with an extensive list of references for the practitioners.Linear Thermoelasticity by Donald E. Carlson; pp.297-345 (reviewed by S.N.-N.).This part follows the style of the previous article, giving fundamentals in thermoelasticity, again avoiding solutions to technical problems.It is less ambitious than Gurtin's article, but scholarly done.While this reviewer finds it a welcome addition to the literature, he feels that the use of the questionable Clausius-Duhem inequality in the unquestionable classical theory of thermoelasticity is unnecessary.Existence Theorems in Elasticity and Boundary-Value Problems of Elasticity With Unilateral Constraints by Gaetano Fichera; pp.347-424 (reviewed by W.E.O.).These two articles are recommended to those who have a good background in modern mathematical analysis.A substantial portion of the first article is devoted to key theorems on the existence and uniqueness of solutions to linear boundary-value problems involving strongly elliptic operators.Applications of these results are given for some classical problems in linear elasticity with bilateral constraints.The second article extends the analysis of the first article so as to treat problems with unilateral (i.e., inequality) constraints.General results are developed for the abstract unilateral problem in cases of both symmetric and nonsymmetric operators.Applications of these results include the famous Signorini Problem.