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What's Next? - The Mathematical Legacy of William P. Thurston (AMS-205) (Paperback)
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What's Next? - The Mathematical Legacy of William P. Thurston (AMS-205) (Paperback)
Series: Annals of Mathematics Studies
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William Thurston (1946-2012) was one of the great mathematicians of
the twentieth century. He was a visionary whose extraordinary ideas
revolutionized a broad range of areas of mathematics, from
foliations, contact structures, and Teichmuller theory to
automorphisms of surfaces, hyperbolic geometry, geometrization of
3-manifolds, geometric group theory, and rational maps. In
addition, he discovered connections between disciplines that led to
astonishing breakthroughs in mathematical understanding as well as
the creation of entirely new fields. His far-reaching questions and
conjectures led to enormous progress by other researchers. In
What's Next?, many of today's leading mathematicians describe
recent advances and future directions inspired by Thurston's
transformative ideas. This book brings together papers delivered by
his colleagues and former students at "What's Next? The
Mathematical Legacy of Bill Thurston," a conference held in June
2014 at Cornell University. It discusses Thurston's fundamental
contributions to topology, geometry, and dynamical systems and
includes many deep and original contributions to the field.
Incisive and wide-ranging, the book explores how he introduced new
ways of thinking about and doing mathematics-innovations that have
had a profound and lasting impact on the mathematical community as
a whole-and also features two papers based on Thurston's unfinished
work in dynamics.
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