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The study of vibration in physical systems is central to almost all
fields in physics and engineering. This work, originally published
in two volumes, examines the classical aspects in Part I and the
quantum oscillator in Part II. The classical linear vibrator is
treated first and the underlying unity of all linear oscillations
in electrical, mechanical and acoustic systems is emphasized. The
treatment of nonlinear vibrations, a field with which engineers and
physicists are generally less familiar, is then examined. Part II
then concentrates on quantum systems, looking at the vibrations in
atoms and molecules and their interaction with electromagnetic
radiation. The similarities of classical and quantum methods are
stressed and the limits of the classical treatment are examined.
Throughout the book, each phenomenon discussed is well illustrated
with many examples; and theory and experiment are compared. This is
a useful introduction to the more advanced mathematical treatment
of vibrations as it bridges the gap between the basic principles
and more specialized concepts.
This book is concerned with the response of systems in equilibrium
to perturbing forces, and the general theory underlying their
behaviour. When a system is in equilibrium it can remain motionless
indefinitely, until it is disturbed. Then it may sink back to its
original state, or vibrate about the position of rest, or fall
over. Also, if the conditions governing the system are slowly
changed, the system will adjust itself to the alteration in a
smooth fashion, except at critical points, where a tiny change of
conditions may lead to a major alteration. Important modern topics
to which the author gives serious attention are: elementary
catastrophe theory; bifurcation and chaos in the response of driven
systems; and phase changes, especially critical points and
X-transitions. It is Professor Pippard's belief that all practising
physicists and engineers should be aware of the disconcerting
possibility of real systems to behave unpredictably and this book
is intended to encourage the spread of such an awareness.
The laws of thermodynamics are amongst the most assured and
wide-ranging of all scientific laws. They do not pretend to explain
any observation in molecular terms but, by showing the necessary
relationships between different physical properties, they reduce
otherwise disconnected results to compact order, and predict new
effects. This classic title, first published in 1957, is a
systematic exposition of principles, with examples of applications,
especially to changes of places and the conditions for stability.
In all this entropy is a key concept.
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