Book Review
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MathSciNet review:
1567342
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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.
1. C. Truesdell, Continuum mechanics, vols. I-IV, Gordon and Breach, New York, 1965.
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
Handbuch der Physik. Band VIa/2: Festkörpermechanik. II, Springer-Verlag, Berlin-New York, 1972 (German). Herausgegeben von S. Flügge; Bandherausgeber: C. Truesdell. MR 0347187
Clifford Ambrose Truesdell III and Subramanyam Bharatha, The concepts and logic of classical thermodynamics as a theory of heat engines, Texts and Monographs in Physics, Springer-Verlag, New York-Heidelberg, 1977. Rigorously constructed upon the foundation laid by S. Carnot and F. Reech. MR 0471650
Morton E. Gurtin, Thermodynamics and stability, Arch. Rational Mech. Anal. 59 (1975), no. 1, 63–96. MR 479061, DOI 10.1007/BF00281517
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 Janeiro, 1977) North-Holland Math. Stud., vol. 30, North-Holland, Amsterdam-New York, 1978, pp. 495–603. MR 519658
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 418580, DOI 10.1007/BF00250722
John M. Ball, Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rational Mech. Anal. 63 (1976/77), no. 4, 337–403. MR 475169, DOI 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.
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
C. Truesdell, The elements of continuum mechanics, Springer-Verlag New York, Inc., New York, 1966. MR 0214315
C. Truesdell and R. Toupin, The classical field theories, Handbuch der Physik, Bd. III/1, Springer, Berlin. With an appendix on tensor fields by J. L. Ericksen. MR 0118005
C. Truesdell and W. Noll, The non-linear field theories of mechanics, Handbuch der Physik, Band III/3, Springer-Verlag, Berlin, 1965. MR 0193816
- 1.
- C. Truesdell, Continuum mechanics, vols. I-IV, Gordon and Breach, New York, 1965.
- 2.
- J. Serrin, The concepts of thermodynamics, Contemporary Developments, Continuum Mechanics and Partial Differential Equations (G. M. de La Peña, L. A. Medeiros (eds.)), North-Holland, Amsterdam, 1978, pp. 411-451. MR 0519653
- 3.
- C. Truesdell, Rational thermodynamics, Springer-Verlag, Berlin and New York, 1972. MR 347187
- 4.
- C. Truesdell and S. Bharatha, The concepts and logic of classical thermodynamics as a theory of heat engines, rigorously developed upon the foundation laid by S. Carnot and F. Reech, Springer-Verlag, Berlin and New York, 1977. MR 471650
- 5.
- M. E. Gurtin, Thermodynamics and stability, Arch. Rational Mech. Anal. 59 (1975), 63-96. MR 479061
- 6.
- C. Truesdell, Some challenges offered to analysis by rational thermodynamics, Contemporary Developments in Continuum Mechanics and Partial Differential Equations (G. M. de La Peña and L. A. Medeiros (eds.)), North-Holland, Amsterdam, 1978, pp. 495-603. MR 519658
- 7.
- S. Antman, Ordinary differential equations of non-linear elasticity. I, II, Arch. Rational Mech. Anal. 61 (1976), 307-393. MR 418580
- 8.
- J. M. Ball, Convexity conditions and existence theorems in non-linear elasticity, Arch. Rational Mech. Anal. 63 (1977), 337-403. MR 475169
- 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.
- C. B. Morrey, Multiple integrals in the calculus of variations, Springer-Verlag, New York, 1966. MR 202511
- 11.
- C. Truesdell, The elements of continuum mechanics, Springer-Verlag, Berlin and New York, 1966. MR 214315
- 12.
- C. Truesdell and R. A. Toupin, The classical field theories, Handbuch der Physik, Band III/l, Springer-Verlag, Berlin and New York, 1960. MR 118005
- 13.
- C. Truesdell and W. Noll, The non-linear field theories of mechanics, Handbuch der Physik, Band III/3, Springer-Verlag, Berlin and New York, 1965. MR 193816
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