Jean Leray (1906-1998) was one of the great French
mathematicians of his century. His life's workcan be dividedinto 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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