Book Review

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MathSciNet review: 1567217

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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.

*Foundations of quantum mechanics*, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1968. MR

**0218062**

**2.**

*Principles of quantum mechanics*, 4th ed., Clarendon Press, Oxford, 1958.

**3.**

*Group representations*, Oxford Notes, 1966-1967.

**4.**

*The mathematical foundations of quantum mechanics*, Benjamin, New York, 1963.

*Induced representations of groups and quantum mechanics*, W. A. Benjamin, Inc., New York-Amsterdam; Editore Boringhieri, Turin, 1968. MR

**0507212**

*The theory of unitary group representations*, Chicago Lectures in Mathematics, 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. MR

**0396826**

*Theory of group representations and applications*, PWN—Polish Scientific Publishers, Warsaw, 1977. MR

**0495836**

**8.**

*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.**

*The geometry of quantum theory*, VanNostrand, Princeton, N. J., 1968, 1970, originally Lecture Notes, Indian Statistical Institute, Calcutta, India, 1965.

*Mathematische Grundlagen der Quantenmechanik*, Die Grundlehren der mathematischen Wissenschaften, Band 38, Springer-Verlag, Berlin-New York, 1968 (German). Unveränderter Nachdruck der ersten Auflage von 1932. MR

**0223138**

*Conceptual foundations of quantum mechanics*, Mathematical Physics Monograph Series, W. A. Benjamin, Inc., Menlo Park, Calif., 1971. MR

**0522284**

**12.**

*The general principles of quantum theory*, Methuen Monographs, London, 1934.

*Laws of form*, The Julian Press, Inc., New York, 1972. MR

**0416823**

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