"Mathematical Foundations of Quantum Mechanics" was a
revolutionary book that caused a sea change in theoretical physics.
Here, John von Neumann, one of the leading mathematicians of the
twentieth century, shows that great insights in quantum physics can
be obtained by exploring the mathematical structure of quantum
mechanics. He begins by presenting the theory of Hermitean
operators and Hilbert spaces. These provide the framework for
transformation theory, which von Neumann regards as the definitive
form of quantum mechanics. Using this theory, he attacks with
mathematical rigor some of the general problems of quantum theory,
such as quantum statistical mechanics as well as measurement
processes. Regarded as a tour de force at the time of publication,
this book is still indispensable for those interested in the
fundamental issues of quantum mechanics.
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