Mathematics does not exist in isolation but is linked inextricably
to the physical world. At the 2003 International Congress of
Industrial and Applied Mathematics, leading mathematicians from
around the globe gathered for a symposium on the "Mathematics of
Real World Problems," which focused on furthering the establishment
and dissemination of those links.
Presented in four parts, Mathematical Models and Methods for Real
World Systems comprises chapters by those invited to this
symposium. The first part examines mathematics for technology,
exploring future challenges of mathematical technology, offering a
wide-ranging definition of industrial mathematics, and explaining
the mathematics of type-II superconductors. After lucid discussions
on theoretical and applied aspects of wavelets, the book presents
classical and fractal methods for physical problems, including a
fractal approach to porous media textures and using MATLAB(r) to
model chaos in the motion of a satellite. The final section surveys
recent trends in variational methods, focusing on areas such as
elliptic inverse problems, sweeping processes, and the BBKY
hierarchy of quantum kinetic equations.
By virtue of its abstraction, mathematics allows the transfer of
ideas between fields of applications. Mathematical Models and
Methods for Real World Systems clearly demonstrates this and
promotes the kind of cross-thinking that nurtures creativity and
leads to further innovatio
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