Born in 1921 in Le Havre, France, Roger Godement studied
at the prestigious Ecole normale superieure in Paris, from 1940
to 1943. His Ph.D., awarded in 1946, was supervised by Henri
Cartan. His fIrst professorial appointment was to the University
of Nancy (1946-1955), after which he returned to Paris and to a
chair at the University where he remained until his retirement
in 1990. He was Visiting Professor at the universities of Illinois
(Urbana) and Berkeley, and the Institute for Advanced Study
during various periods.
Godement is the author of several books: Theorie des Faisceaux
(1957), Cours d'algebre (1963) (English edition 1968), Zeta functions of simple algebras (1972, with Herve Jacquet), Notes on
Jacquet-Langlands Theory (lAS, Princeton), Introduction a la
theorie des groupes de Lie (U. of Paris, 1982, and Springer, 2003).
Besides these, Godement, as a 2nd generation member of the
author-collective Bourbaki, penned parts of the multi-volume
treatise Elements de Mathematique of N. Bourbaki.
Analysis I and II
Functions in Rand C, including the theory of Fourier series, Fourier
integrals and part of that of holomorphic functions, form the focal topic
of these two volumes. Based on a course given by the author to large
audiences at Paris VII University for many years, the exposition
proceeds somewhat nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate
the variety of possible approaches to the main results, in order to
initiate the reader to methods, the underlying reasoning, and fundamental ideas. It is suitable for both teaching and self-study. In his familiar,
personal style, the author emphasizes ideas over calculations and, avoiding the condensed style frequently found in textbooks, explains these
ideas without parsimony of words. The French edition in four volumes,
published from 1998, has met with resounding success: the first two
volumes are now available in English.
ISBN 3-540-05923-7
I I III
9 783540 059233
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