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The Scientific Legacy of Poincare (Hardcover)
Loot Price: R3,097
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The Scientific Legacy of Poincare (Hardcover)
Series: History of Mathematics
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Henri Poincare (1854-1912) was one of the greatest scientists of
his time, perhaps the last one to have mastered and expanded almost
all areas in mathematics and theoretical physics. He created new
mathematical branches, such as algebraic topology, dynamical
systems, and automorphic functions, and he opened the way to
complex analysis with several variables and to the modern approach
to asymptotic expansions. He revolutionized celestial mechanics,
discovering deterministic chaos. In physics, he is one of the
fathers of special relativity, and his work in the philosophy of
sciences is illuminating. For this book, about twenty world experts
were asked to present one part of Poincare's extraordinary work.
Each chapter treats one theme, presenting Poincare's approach, and
achievements, along with examples of recent applications and some
current prospects. Their contributions emphasize the power and
modernity of the work of Poincare, an inexhaustible source of
inspiration for researchers, as illustrated by the Fields Medal
awarded in 2006 to Grigori perelman for his proof of the Poincare
conjecture stated a century before. This book can be read by anyone
with a master's (even a bachelor's) degree in mathematics, or
physics, or more generally by anyone who likes mathematical and
physical ideas. Rather than presenting detailed proofs, the main
ideas are explained, and a bibliography is provided for those who
wish to understand the technical details.
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