This book is based on material taught to final-year physics
undergraduates as part of the theoretical physics option at
Imperial College. After a self-contained introduction to the
essential ideas of vector spaces and linear operators, a bridge is
built between the concepts and mathematics of classical physics,
and the new mathematical framework employed in quantum mechanics.
The axioms of nonrelativistic quantum theory are introduced, and
shown to lead to a variety of new conceptual problems. Subjects
discussed include state-vector reduction, the problem of
measurement, quantum entanglement, the Kochen-Specker theorem, and
the Bell inequalities. The book includes twenty-five problems with
worked solutions.
In the US it could serve as an excellent supplement for an
introductory graduate course on quantum mechanics ... The
discursive style and clear exposition make for equally attractive
reading by someone familiar with the subject or by a student with
only rudimentary knowledge .... The main text is supplemented by a
substantial number of problems with solutions, which should help
the beginner master the mathematics .. I would strongly recommend
that anyone teaching the subject use this little book as
supplementary reading". Physics Today (USA), Aug 1996
"The proper role of mathematics is to make things easy. When
something can be expressed in the precise language of mathematics,
results can be obtained by the application of given rules.
Calculations are so simple that even computers can do them. Chris
Isham's lectures on the mathematical and structural foundations of
quantum theory, reproduced in this book, provide an excellent
illustration of this truth ... a welcome addition tothe modern
literature on quantum theory
... It is good to have a book that gives such an excellent
description of the mathematical structure of quantum theory ..".
Times Higher Educational Supp. (UK), 1996
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