"Mathematics: The New Golden Age" offers a glimpse of the
extraordinary vistas and bizarre universes opened up by
contemporary mathematicians: Hilbert's tenth problem and the
four-color theorem, Gaussian integers, chaotic dynamics and the
Mandelbrot set, infinite numbers, and strange number systems. Why a
"new golden age"? According to Keith Devlin, we are currently
witnessing an astronomical amount of mathematical research.
Charting the most significant developments that have taken place in
mathematics since 1960, Devlin expertly describes these advances
for the interested layperson and adroitly summarizes their
significance as he leads the reader into the heart of the most
interesting mathematical perplexities -- from the biggest known
prime number to the Shimura-Taniyama conjecture for Fermat's Last
Theorem.
Revised and updated to take into account dramatic developments
of the 1980s and 1990s, "Mathematics: The New Golden Age" includes,
in addition to Fermat's Last Theorem, major new sections on knots
and topology, and the mathematics of the physical universe.
Devlin portrays mathematics not as a collection of procedures
for solving problems, but as a unified part of human culture, as
part of mankind's eternal quest to understand ourselves and the
world in which we live. Though a genuine science, mathematics has
strong artistic elements as well; this creativity is in evidence
here as Devlin shows what mathematicians do -- and reveals that it
has little to do with numbers and arithmetic. This book brilliantly
captures the fascinating new age of mathematics.
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