It is at first surprising, then reassuring, that a book so gently (yet freshly; the first of several appendices provides an "elementary proof of Gleason's Theorem") mathematical as this one is the work of an associate professor of philosophy (at Yale). He is, however, a philosopher with a professional interest in the deep (and these days once again lively) topic to which his title alludes, and who recognizes that useful participation in the discussion of such matters presumes familiarity with some mathematics (none of it terribly abstruse, but some of it not terribly familiar, even to physicists). Part I (five chapters) provides review of the mathematical/conceptual structure of quantum theory, while Part II (five chapters) addresses problems posed by the critical interpretation (as opposed to the mere application) of that theory. A useful work, of interest to specialists, yet accessible to advanced undergraduates and determined general readers. (NW) Annotation copyright Book News, Inc. Portland, Or.
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A formidable and intelligent account of the (partial) Hilbert-space formalization of quantum mechanics and the inevitable philosophical ambiguities that result...A marvelous book. -- P.D. Skiff "Choice" This book complements the material covered in standard textbooks on quantum theory, in which the issue of interpretation of the theory is too often neglected. -- Eduardo Sanchez Velasco "Science Books And Films" The power and elegance of the quantum-mechanical arguments are excellently portrayed and the reader...could not help being impressed by the sheer intellectual beauty of the subject. -- Alastai R. Rae "Times Higher Education Supplement" Hughes has written the best self-contained introduction to the foundations of quantum mechanics yet to appear...Hughes is clearly a gifted teacher, and a casual look at the book may suggest that it is primarily a textbook. In fact, a definitive interpretive perspective is developed throughout the book. -- Allen Stairs "Synthese"
R.I.G Hughes offers the first detailed and accessible analysis of the Hilbert-space models used in quantum theory and explains why they are so successful. He goes on to show how the very suitability of Hilbert spaces for modeling the quantum world gives rise to deep problems of interpretation and makes suggestions about how they can be overcome.
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