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.