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Bulletin of the American Mathematical Society

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

Book Review

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Book Information:

Author: George Mackey
Title: Unitary group representations in physics, probability, and number theory
Additional book information: Benjamin/Cummings, Reading, Mass., 1978, xiv + 402 pp., $19.50.

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

  • 1. J. M. Jauch, Foundations of quantum mechanics, Addison-Wesley, Reading, Mass., 1968. MR 218062
  • 2. P. A. M. Dirac, Principles of quantum mechanics, 4th ed., Clarendon Press, Oxford, 1958.
  • 3. G. Mackey, Group representations, Oxford Notes, 1966-1967.
  • 4. G. Mackey, The mathematical foundations of quantum mechanics, Benjamin, New York, 1963.
  • 5. G. Mackey, Induced representations of groups and quantum mechanics, Benjamin, New York, Boringhieri, Torino, 1968. MR 507212
  • 6. G. Mackey, The theory of unitary group representations, Univ. of Chicago Press, Chicago, Ill., 1976. MR 396826
  • 7. A. Barut and R. Raczka, Theory of group representations and applications, Polish Sci. Publishers, Warsaw, 1977. MR 495836
  • 8. J. M. Jauch, The mathematical structure of elementary quantum mechanics, Sympos. on the Development of the Physicist's Conception of Nature in the Twentieth Century, (ed. J. Mehra), Reidel, Dordrecht, 1973.
  • 9. V. S. Varadarajan, The geometry of quantum theory, VanNostrand, Princeton, N. J., 1968, 1970, originally Lecture Notes, Indian Statistical Institute, Calcutta, India, 1965.
  • 10. J. von Neumann, Mathematische Grundlagen der Quantenmechanik, Springer-Verlag, Berlin, 1932. MR 223138
  • 11. B. d'Espagnat, Conceptual foundations of quantum mechanics, Benjamin, Menlo Park, Calif., 1971. MR 522284
  • 12. G. Temple, The general principles of quantum theory, Methuen Monographs, London, 1934.
  • 13. G. Spencer Brown, Laws of form, Julian Press, New York, 1972. MR 416823

Review Information:

Reviewer: Karl Gustafson
Journal: Bull. Amer. Math. Soc. 2 (1980), 225-229
DOI: https://doi.org/10.1090/S0273-0979-1980-14731-X
American Mathematical Society