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3 kirjaa tekijältä William David McComb

Dynamics and Relativity

Dynamics and Relativity

William David McComb

Oxford University Press
1999
nidottu
Special relativity suffers from the myth that it is difficult. In order to overcome this barrier Dynamics and relativity presents an integrated treatment of classical mechanics and special relativity, by treating classical mechanics as Galilean relativity. This gives students the freedom to formulate a particular problem in one frame of reference and solve it in another, where it takes a simpler form. This strategy, which is central to special relativity, is applied to problems in classical mechanics, thus preparing the tools and thought patterns for a treatment of special relativity.
Renormalization Methods

Renormalization Methods

William David McComb

Oxford University Press
2003
sidottu
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.
Renormalization Methods

Renormalization Methods

William David McComb

Oxford University Press
2007
nidottu
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.