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This volume looks afresh at the life and works of Lord Kelvin
including his standing and relationships with Charles Darwin, T. S
Huxley and the X-club, thereby throwing new light on the
nineteenth-century conflict between the British energy and biology
specialists. It focuses on two principal issues. Firstly, there is
the contribution made by Kelvin to the formulation of the Laws of
Thermodynamics, both personal and in the content of the scientific
communications exchanged with other workers, such as Joule and
Clausius. Secondly, there is Kelvin's impact on the wider field of
science such as thermoelectricity and geology (determination of the
age of the earth). Of late a number of studies and initiatives,
including the Centenary celebrations of Kelvin's death and exhibits
such as that of the 'Revolutionary Scientist' in the Hunterian
Museum, Glasgow, have been undertaken aiding the redefinition of
Kelvin's greatness and achievements. The book also raises awareness
to 'improve our approach to the teaching of elementary
thermodynamics by attempting to empathise with Kelvin's
perspective'.It is completed by a full biography, overviews of
various monuments to his memory, and short 'Stories in Pictures' on
the Atlantic cable, Maxwell's Demon, the universities associated
with the development of thermodynamics and the Royal Society of
Edinburgh. Scientists and engineers with an interest in
thermodynamics and anyone interested in the work of Lord Kelvin
will find benefit in Kelvin, Thermodynamics and the Natural World.
The theory of Dirichlet forms has witnessed recently some very
important developments both in theoretical foundations and in
applications (stochasticprocesses, quantum field theory, composite
materials, ...). It was therefore felt timely to have on this
subject a CIME school, in which leading experts in the field would
present both the basic foundations of the theory and some of the
recent applications. The six courses covered the basic theory and
applications to: - Stochastic processes and potential theory (M.
Fukushima and M. Roeckner) - Regularity problems for solutions to
elliptic equations in general domains (E. Fabes and C. Kenig) -
Hypercontractivity of semigroups, logarithmic Sobolev inequalities
and relation to statistical mechanics (L. Gross and D. Stroock).
The School had a constant and active participation of young
researchers, both from Italy and abroad.
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