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Abstract: Here we
will come to understand the
"personality" of real numbers. Along the way we will encounter some
beautiful ideas from number theory and develop an appreciation for an
area known as "diophantine approximation". Results of both the ancient
and recent variety will be
offered. No number theory background is required beyond a desire to
explore the alluring notion of number.
Biography: Edward Burger is Professor of Mathematics at Williams
College. His research interests are in number theory, and he is the
author of over 30 research articles and 12 books including "The Heart
of Mathematics: An invitation to effective thinking" (winner of a 2001
Robert W. Hamilton Book Award). Burger was awarded the 2000
Northeastern Section of the MAA Award for Distinguished Teaching and
2001 MAA Deborah and Franklin Tepper Haimo National Award for
Distinguished Teaching of Mathematics. The MAA named him the 2001-2003
Polya Lecturer. In 2002-2003 he was the Ulam Visiting Professor at the
University of Colorado at Boulder, where he was awarded the 2003
Residence Life Teaching Award. In 2004 he was awarded Mathematical
Association of America's Chauvenet Prize and in 2006 he was a recipient
of the Lester R. Ford Prize. Burger is an associate editor of the
American Mathematical Monthly and a trustee of the Educational
Advancement Foundation. In 2006, Reader's Digest listed Burger in their
annual "100 Best of American" as America's Best Math Teacher.
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