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The book is divided into three parts. The first, "Gathering the Tools", introduces quantum mechanics as a theory of "preparations" and "tests", and it develops the mathematical formalism of Hilbert spaces, concluding with the [[spectral theory]] used to understand the quantum mechanics of continuous-valued observables. Part II, "Cryptodeterminism and Quantum Inseparability", focuses on [[Bell's theorem]] and other demonstrations that quantum mechanics is incompatible with [[local hidden-variable theory|local hidden-variable theories]]. (Among its substantial discussion of the failure of [[Hidden variable theory|hidden variable theories]], the book includes a [[FORTRAN]] program for testing whether a list of [[Euclidean vector|vector]]s forms a [[Kochen–Specker theorem|Kochen–Specker configuration]].) Part III, "Quantum Dynamics and Information", covers the role of [[spacetime]] symmetry in quantum physics, the relation of [[quantum information]] to [[thermodynamics]], [[semiclassical approximation]] methods, [[quantum chaos]], and the treatment of [[measurement in quantum mechanics]].
To generate the figures in his chapter on quantum chaos, including plots in [[phase space]] of chaotic motion, Peres wrote [[PostScript]] code that executed simulations in the printer itself.
Peres downplayed the importance of the [[uncertainty principle]], giving it only a single mention in his index, which points to that same page of the index.<ref name="PhysToday">{{cite journal|last1=Terzian |first1=Joseph E.|last2=Bennett |first2=Charles H.|author2-link=Charles H. Bennett (computer scientist)|last3=Mann |first3=Ady|last4=Wootters |first4=William K.|author4-link=William Wootters|title=Obituary: Asher Peres|journal=[[Physics Today]]|date=August 2005|volume=58|issue=8|pages=65–66|doi=10.1063/1.2062925|bibcode = 2005PhT....58h..65A }}</ref>
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