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This book is unique in occupying a gap between standard
undergraduate texts and more advanced texts on quantum field
theory. It covers a range of renormalization methods with a clear
physical interpretation (and motivation), including meanfield
theories and high-temperature and low-density
expansions. It then proceeds by easy steps to the famous
epsilon-expansion, ending up with the first-order corrections to
critical exponents beyond mean-field theory. Nowadays, there is
widespread interest in applications of renormalization methods to
various topics ranging over soft condensed
matter, engineering dynamics, traffic queueing and fluctuations in
the stock market. Hence macroscopic systems are also included, with
particular emphasis on the archetypal problem of fluid turbulence.
The book is also unique in making this material accessible to
readers other than theoretical
physicists, as it requires only the basic physics and mathematics
which should be known to most scientists, engineers and
mathematicians.
Relativity is the study of motion at speeds approaching the speed of light. At these extremely high speeds particles behave in non-intuitive fashion, and hence the subject suffers from the myth that it is difficult. In order to overcome this barrier Dynamics and relativity approaches the subject from the point of view of more 'standard', classical mechanics, and demonstrates that the theory of relativity is only a natural extension of the more familiar equations. The book gives a full and clear account of the theory of special relativity, with numerous worked examples and exercises, and provides the student with enough knowledge to understand the theory of black holes.
This book is unique in occupying a gap between standard
undergraduate texts and more advanced texts on quantum field
theory. It covers a range of renormalization methods with a clear
physical interpretation (and motivation), including mean-field
theories and high-temperature and low-density expansions. It then
proceeds by easy steps to the famous epsilon-expansion, ending up
with the first-order corrections to critical exponents beyond
mean-field theory. Nowadays there is widespread interest in
applications of renormalization methods to various topics ranging
over soft condensed matter, engineering dynamics, traffic queueing
and fluctuations in the stock market. Hence macroscopic systems are
also included, with particular emphasis on the archetypal problem
of fluid turbulence. The book is also unique in making this
material accessible to readers other than theoretical physicists,
as it requires only the basic physics and mathematics which should
be known to most scientists, engineers and mathematicians.
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