Published under the Clarendon Press imprint, this book covers the 20th Century evolution of essential ideas in mathematical analysis, a field that since the times of Newton and Leibnitz has been one of the most important and presitigious in mathematics. Each chapter features a comprehensive first part on developments during the period 1900-1950, then provides outlooks on achievements during the last part of the century. Chapters include original quotations from outstanding mathematicians and the book includes a bibliography of almost 1000 entries.

This volume grew out of the preparation and achievements of the Symposium organized by the Luxembourg Mathematical Society in June 1992, at Chateau Bourglinster (Luxembourg). We express our best thanks to Monsieur Marc Fischbach, ministre de I 'Education nationale, Luxembourg Monsieur Rene Steichen, ministre delegue aux Affaires culturelles, Luxem- bourg, Academie des sciences, Paris, Academie roya1e des sciences, des lettres et des beaux-arts de Belgique, Section des sciences de l'Institut grand-ducal, Luxembourg, and all lecturers and participants. We hope that this contribution may ease a...