| Date 12/12/03 No 231/03
An international conference at the University of New England is
discussing how to describe, mathematically, the true complexity
of the world.
Examples of that complexity being examined at the conference range
from the movement of liquids along tubes to the geometric structure
of black holes. The field of mathematics that studies such complex
changes and interactions is known as "partial differential
equations".
Twenty-five leading mathematicians from around the world are spending
all this week [8-12 December] at the conference, titled "Non-linear
Partial Differential Equations and their Applications". They
have come to UNE from China Japan, France, Romania and the United
States, as well as from within Australia, all of them invited to
participate because of their outstanding expertise in partial differential
equations.
The equations under investigation are called "non-linear"
because they describe complex interactions rather than simple (or
"linear") sequences of events. "They're the mathematics
of the real world," said the conference's convener, Associate
Professor Chris Radford of UNE. "They can describe cumulative
events like the much-discussed 'butterfly effect', where the fluttering
of a butterfly's wing in Boston results in a tornado in Texas."
Associate Professor Radford, the Head of UNE's School of Mathematics,
Statistics and Computer Science, said such equations could be applied
to a multitude of complex events, for example in industry or in
economics, explaining that such techniques had been used in medical
imaging and laser technology. Their application in describing complex
interactions of plants and animals in the science of ecology was
one of ever-increasing importance, he said.
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"However," he added, "mathematics is also one of
the human race's oldest cultural pursuits. The beauty and elegance
of mathematical constructs enriches the human spirit in much the
same way as a piece of music by Mozart or Miles Davis."
The conference at UNE is part of a research symposium program being
funded by the Australian Mathematical Sciences Institute. It is
the first conference in the program to be held outside a capital
city.
The participants include three internationally-acclaimed mathematicians
with strong links to UNE. Professor Neil Trudinger (who became a
Fellow of the Royal Society in 1997) and Professor Alan McIntosh
are both UNE graduates, and are both now at the Centre for Mathematics
and its Applications in the Institute of Advanced Studies at the
Australian National University. Professor McIntosh is the Centre's
Head. Professor Norman Dancer was Professor of Mathematics at UNE
until he took up an appointment at the University of Sydney. He
is one of Australia's most frequently-cited scientists, according
to the International Science Citations Index.
Media contact: Associate Professor Chris Radford, School of Mathematics,
Statistics and Computer Science, UNE, Armidale (02) 6773 3231 or
Lydia Clifford, Public Relations Manager, UNE, Armidale (02) 6773
2779.
A photograph showing (L-R) Professor Alan McIntosh, Professor Norman
Dancer, Professor Robert Bartnik, Professor Neil Trudinger and Associate
Professor Chris Radford is available for download.
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