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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Full text of review: PDF

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. Josef M. Jauch, Foundations of quantum mechanics, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1968. MR 0218062 (36 #1151)
  • 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. George W. Mackey, Induced representations of groups and quantum mechanics, W. A. Benjamin, Inc., New York-Amsterdam; Editore Boringhieri, Turin, 1968. MR 0507212 (58 #22373)
  • 6. George W. Mackey, The theory of unitary group representations, University of Chicago Press, Chicago, Ill.-London, 1976. Based on notes by James M. G. Fell and David B. Lowdenslager of lectures given at the University of Chicago, Chicago, Ill., 1955; Chicago Lectures in Mathematics. MR 0396826 (53 #686)
  • 7. Asim O. Barut and Ryszard Rączka, Theory of group representations and applications, PWN—Polish Scientific Publishers, Warsaw, 1977. MR 0495836 (58 #14480)
  • 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. Johann von Neumann, Mathematische Grundlagen der Quantenmechanik, Unveränderter Nachdruck der ersten Auflage von 1932. Die Grundlehren der mathematischen Wissenschaften, Band 38, Springer-Verlag, Berlin-New York, 1968 (German). MR 0223138 (36 #6187)
  • 11. Bernard d’Espagnat, Conceptual foundations of quantum mechanics, W. A. Benjamin, Inc., Menlo Park, Calif., 1971. The W. A. Benjamin Mathematical Physics Monograph Series. MR 0522284 (58 #25458a)
  • 12. G. Temple, The general principles of quantum theory, Methuen Monographs, London, 1934.
  • 13. G. Spencer Brown, Laws of form, The Julian Press, Inc., New York, 1972. MR 0416823 (54 #4892)


Review Information

Reviewer: Karl Gustafson
Journal: Bull. Amer. Math. Soc. 2 (1980), 225-229
DOI: http://dx.doi.org/10.1090/S0273-0979-1980-14731-X
PII: S 0273-0979(1980)14731-X