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Book Review
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Book Information
Author(s):
Yvonne Choquet-Bruhat, Cecile de Witt-Morette and Margaret Dillard-Bleick
Title:
Analysis, manifolds and physics
Additional book information:
North-Holland, Amsterdam, The Netherlands, 1977, xviii + 544 pp., $19.50
References:
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- 2.
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- 3.
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- 4.
- M. F. Atiyah and R. S. Ward, Instantons and algebraic geometry, Comm. Math. Phys. 55 (1977), 117-124. MR 494098
- 5.
- R. J. Blattner, Lectures on representations of Lie groups and harmonic analysis, 5-16 Sept 1977, Liège, Belgium.
- 6.
- Y. Choquet-Bruhat, Géométrie différentielle et systèmes extérieurs, Monographies Universitaires de Math. No. 28, Dunod, Paris, 1968. MR 236824
- 7.
- V. Guillemin and S. Sternberg, Geometric asymptotics, Math. Surveys, no. 14, Amer. Math. Soc., Providence, R. I., 1977. MR 516965
- 8.
- S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962 (2nd ed., 1979). MR 145455
- 9.
- R. Hermann, Differential geometry and the calculus of variations, Math. Sci. Press, Brook-line, 2nd ed., 1977. MR 494184
- 10.
- B. Kostant, Whittaker vectors and representation theory, Invent. Math. 48 (1978), 101-184. MR 507800
- 11.
- M. Kuranishi, Deformations of compact complex manifolds, Les Presses de l'Université de Montréal (1971). MR 355111
- 12.
- P. D. Lax and R. S. Phillips, Scattering theory, Academic Press, New York, 1967. MR 1037774
- 13.
- P. D. Lax and R. S. Phillips, Scattering theory for automorphic functions, Ann. of Math. Studies, Princeton Univ. Press, 1976. MR 562288
- 14.
- G. Mackey, Mathematical foundations of quantum mechanics, The Mathematical Physics Monograph Series, W. A. Benjamin, New York, 1963.
- 15.
- B. A. Dubrovin et al, Non-linear equations of Korteweg-deVries type, finite-zone linear operators, and Abelian varieties, Russian Math. Surveys 31 (1) (1976), 59-146.
- 16.
- W. Rossmann, Kirillov's character formula for reductive Lie groups, Invent. Math. 48 (1978), 207-220. MR 508985
- 17.
- R. K. Sachs and H. Wu, General relativity for mathematicians, Graduate Texts in Math., vol. 48, Springer-Verlag, Berlin and New York, 1977. MR 503498
- 18.
- I. E. Segal, Algebraic integration theory, Bull. Amer. Math. Soc. 71 (1965), 419-489. MR 178384
- 19.
- D. J. Simms, An application of polarizations on half-forms, Non-commutative Harmonic Analysis, Lecture Notes in Math., vol. 466, Springer-Verlag, Berlin and New York, 1975. MR 394760
- 20.
- J.-M. Souriau, Structure des systèmes dynamique, Dunod, Paris 1970. MR 260238
- 21.
- S. Sternberg, On the role of field theories in our Physical conception of geometry, Differential Geometrical Methods in Mathematical Physics, Lecture notes in Math., vol. 676, 1978, pp. 1-81. MR 519606
- 22.
- M. E. Taylor, Propagation, reflection, and diffraction of singularities of solutions to wave equations, Bull. Amer. Math. Soc. 84 (1978), 589-612. MR 489757
- 23.
- V. S. Varadarajan, Geometry of quantum theory. I, II, D. Van Nostrand, Princeton, N. J., 1968. MR 471674
- 24.
- M. Vergne, On Rossmann's character formula for discrete series, Invent Math. 54 (1979), 11-15. MR 549542
- 25.
- J. F. Veverka, The Morse theory and its applications to solid state physics, Queen's Papers in Pure and Applied Math. no. 3 (1966).
- 26.
- A. Weinstein, Lectures on symplectic manifolds, CBMS Regional Conf. Ser. in Math., no. 29, Amer. Math. Soc., Providence, R. I., 1977. MR 464312
- 27.
- R. O. Wells, Jr., Complex manifolds and mathematical physics, Bull. Amer. Math. Soc. (N. S.) 1 (1979), 296-337. MR 520077
Additional Information:
Reviewer(s):
Bent
Ørsted
Review Information:
Journal:
Bull. Amer. Math. Soc.
3
(1980),
878-885.
DOI:
10.1090/S0273-0979-1980-14837-5
PII:
S 0273-0979(1980)14837-5
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