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ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Author: C. Truesdell
Title: A first course in rational continuum mechanics,
Additional book information: Pure and Applied Mathematics, Academic Press, New York, San Francisco, London, 1977, xxiii + 280 pp., $23.00.

References [Enhancements On Off] (What's this?)

  • 1. C. Truesdell, Continuum mechanics, vols. I-IV, Gordon and Breach, New York, 1965.
  • 2. James Serrin, The concepts of thermodynamics, Contemporary developments in continuum mechanics and partial differential equations (Proc. Internat. Sympos., Inst. Mat., Univ. Fed. Rio de Janeiro, Rio de Janeiro, 1977) North-Holland Math. Stud., vol. 30, North-Holland, Amsterdam-New York, 1978, pp. 411–451. MR 519653
  • 3. Handbuch der Physik. Band VIa/2: Festkörpermechanik. II, Springer-Verlag, Berlin-New York, 1972 (German). Herausgegeben von S. Flügge; Bandherausgeber: C. Truesdell. MR 0347187
  • 4. Clifford Ambrose Truesdell III and Subramanyam Bharatha, The concepts and logic of classical thermodynamics as a theory of heat engines, Springer-Verlag, New York-Heidelberg, 1977. Rigorously constructed upon the foundation laid by S. Carnot and F. Reech; Texts and Monographs in Physics. MR 0471650
  • 5. Morton E. Gurtin, Thermodynamics and stability, Arch. Rational Mech. Anal. 59 (1975), no. 1, 63–96. MR 0479061, https://doi.org/10.1007/BF00281517
  • 6. C. Truesdell, Some challenges offered to analysis by rational thermomechanics, Contemporary developments in continuum mechanics and partial differential equations (Proc. Internat. Sympos., Inst. Mat., Univ. Fed. Rio de Janeiro, Rio de Jane, North-Holland Math. Stud., vol. 30, North-Holland, Amsterdam-New York, 1978, pp. 495–603. MR 519658
  • 7. Stuart S. Antman, Ordinary differential equations of nonlinear elasticity. I. Foundations of the theories of nonlinearly elastic rods and shells, Arch. Rational Mech. Anal. 61 (1976), no. 4, 307–351. MR 0418580, https://doi.org/10.1007/BF00250722
  • 8. John M. Ball, Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rational Mech. Anal. 63 (1976/77), no. 4, 337–403. MR 0475169, https://doi.org/10.1007/BF00279992
  • 9. J. M. Ball, Constitutive inequalities and existence theorems in non-linear elastostatics, Nonlinear Analysis and Mechanics, vol. I (R. J. Knops (ed.)), Pitman Publishers, New York, 1978.
  • 10. Charles B. Morrey Jr., Multiple integrals in the calculus of variations, Die Grundlehren der mathematischen Wissenschaften, Band 130, Springer-Verlag New York, Inc., New York, 1966. MR 0202511
  • 11. C. Truesdell, The elements of continuum mechanics, Springer-Verlag New York, Inc., New York, 1966. MR 0214315
  • 12. C. Truesdell and R. Toupin, The classical field theories, Handbuch der Physik, Bd. III/1, Springer, Berlin, 1960, pp. 226–793; appendix, pp. 794–858. With an appendix on tensor fields by J. L. Ericksen. MR 0118005
  • 13. C. Truesdell and W. Noll, The non-linear field theories of mechanics, Handbuch der Physik, Band III/3, Springer-Verlag, Berlin, 1965, pp. 1–602. MR 0193816

Review Information:

Reviewer: Frederick Bloom
Journal: Bull. Amer. Math. Soc. 5 (1981), 359-364
DOI: https://doi.org/10.1090/S0273-0979-1981-14957-0