This is a fastidious study documenting the evolution of mathematics during the first half of the twentieth century. It has grown out of a colloquium organized by the Luxembourg Mathematical Society which was held at Ch�teau de Bourglinster in June 1992.
An exacting chronology ("Guidelines 1900-1950") marks key events in the development of mathematics, and a rich range of topics are addressed by some of the century's most eminent mathematicians. Contributors include J.L. Doob,
G. Fichera, M. Guillaume, W. Hayman, C. Houzel, J.-P. Kahane, A. Lichnerowicz,
J. Mawhin, L. Nirenberg, J.-P. Pier, W. Schwarz, and an extensive article by the late J. Dieudonn� sets down an excellent history of topology.
The copious list of primary sources and of important secondary publications adds to the book's value as a reference volume.

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