Mathematical physics has made enormous strides over the past few
decades, with the emergence of many new disciplines and with
revolutionary advances in old disciplines. One of the especially
interesting features is the link between developments in
mathematical physics and in pure mathematics. Many of the exciting
advances in mathematics owe their origin to mathematical physics --
superstring theory, for example, has led to remarkable progress in
geometry -- while very pure mathematics, such as number theory, has
found unexpected applications.
The beginning of a new millennium is an appropriate time to
survey the present state of the field and look forward to likely
advances in the future. In this book, leading experts give personal
views on their subjects and on the wider field of mathematical
physics. The topics covered range widely over the whole field, from
quantum field theory to turbulence, from the classical three-body
problem to non-equilibrium statistical mechanics.
General
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