Changing Images in Mathematics: From the French Revolution to the New Millennium

ISBN-13: 9780415271189 / Angielski / Twarda / 2001 / 320 str.

Umberto Bottazzini; Amy Dahan Dalmedico; U. Bottazzini

Opis

This book focuses on some of the major developments in the history of contemporary (19th and 20th century) mathematics as seen in the broader context of the development of science and culture. Avoiding technicalities, it displays the breadth of contrasting images of mathematics favoured by different countries, schools and historical movements, showing how the conception and practice of mathematics changed over time depending on the cultural and national context. Thus it provides an original perspective for embracing the richness and variety inherent in the development of mathematics. Attention is paid to the interaction of mathematics with themes whose proper treatment have been neglected by the traditional historiography of the discipline, such as the relationship between mathematics, statistics and medicine.

Spis treści

The Ecole Polytechnique and Mathematics in Nineteenth Century France From Paris to Berlin: Contrasted Images of Nineteenth Century Mathematics Images of Applied Mathematics in the German Mathematical Community Felix Klein as Wissenschaftspolitiker The German and French Editions of the Klein-Molk Encyclopedia: Contrasted Images Mathematics and Natural Science in the Nineteenth Century: The Classical Approaches to Poncaré, Volterra and Hadamard Developments in Statistical Thinking and their links with Mathematics Mathematical Structures from Hilbert to Bourbaki: The Evolution of an Image of Mathematics The Creation and Persistence of National Schools: The Case of Italian Algebraic Geometry Definability as a Mathematical Concept Before and After Gödel An Image Conflict in Mathematics After 1945 From Catastrophe to Chaos: The Modelling Practices of Applied Topologists Beyond One Case Statistics: Mathematics, Medicine and the Management of Health and Disease in the Post-war Era

O autorze

Umberto Bottazini, Amy Dahan Dalmedico