Changing Images in Mathematics: From the French Revolution to the New Millennium / Edition 1

Changing Images in Mathematics: From the French Revolution to the New Millennium / Edition 1

by Umberto Bottazini, Amy Dahan Dalmedico
     
 

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

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Overview

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.

Product Details

ISBN-13:
9780415271189
Publisher:
Taylor & Francis
Publication date:
08/08/2001
Series:
Routledge Studies in the History of Science, Technology and Medicine Series, #13
Pages:
320
Product dimensions:
6.14(w) x 9.21(h) x 0.75(d)

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Meet the Author

Table of Contents

List of Contributors
Introduction1
1The Ecole Polytechnique and Mathematics in Nineteenth-Century France15
2From Paris to Berlin: Contrasted Images of Nineteenth-Century Mathematics31
3Images of Applied Mathematics in the German Mathematical Community49
4Felix Klein as Wissenschaftspolitiker69
5The German and French Editions of the Klein-Molk Encyclopedia: Contrasted Images93
6Mathematics and Natural Science in the Nineteenth-Century: The Classical Approaches of Poincare, Volterra and Hadamard113
7Developments in Statistical Thinking and their Links with Mathematics137
8Mathematical Structures from Hilbert to Bourbaki: The Evolution of an Image of Mathematics167
9The Creation and Persistence of National Schools: The Case of Italian Algebraic Geometry187
10Definability as a Mathematical Concept Before and After Godel207
11An Image Conflict in Mathematics after 1945223
12From Catastrophy to Chaos: The Modeling Practices of Applied Topologists255
13Beyond One-Case Statistics: Mathematics, Medicine and the Management of Health and Disease in the Post-War Era281
Index297

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