EAN: 9783642418471

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Jean Leray (1906-1998) was one of the great French mathematicians of his century. His life's
work can be divided into 3 major areas  reflected in these 3 volumes. Volume I  to which an
Introduction has been contributed by A. Borel  covers Leray's seminal work in algebraic
topology  where he created sheaf theory and discovered the spectral sequences. Volume II  with
an introduction by P. Lax  covers fluid mechanics and partial differential equations. Leray
demonstrated the existence of the infinite-time extension of weak solutions of the
Navier-Stokes equations  60 years later this profound work has retained all its impact. Volume
III  on the theory of several complex variables  has a long introduction by G. Henkin. Leray's
work on the ramified Cauchy problem will stand for centuries alongside the Cauchy-Kovalevska
theorem for the unramified case. He was awarded the Malaxa Prize (1938)  the Grand Prix in
Mathematical Sciences (1940)  the Feltrinelli Prize (1971)  the Wolf Prize in Mathematics
(1979) and the Lomonosov Gold Medal (1988).

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