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Book Description

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.

Table of Contents

  1. Cover
  2. Half Title
  3. Full Title
  4. Copyright
  5. Contents
  6. List of Contributors
  7. Introduction
  8. 1. The École Polytechnique and Mathematics in Nineteenth-Century France
  9. 2. From Paris to Berlin: Contrasted Images of Nineteenth-Century Mathematics
  10. 3. Images of Applied Mathematics in the German Mathematical Community
  11. 4. Felix Klein as Wissenschaftspolitiker
  12. 5. The German and French Editions of the Klein-Molk Encyclopedia: Contrasted Images
  13. 6. Mathematics and Natural Science in the Nineteenth-Century: The Classical Approaches of Poincaré, Volterra and Hadamard
  14. 7. Developments in Statistical Thinking and their Links with Mathematics
  15. 8. Mathematical Structures from Hilbert to Bourbaki: The Evolution of an Image of Mathematics
  16. 9. The Creation and Persistence of National Schools: The Case of Italian Algebraic Geometry
  17. 10. Definability as a Mathematical Concept Before and After Gödel
  18. 11. An Image Conflict in Mathematics after 1945
  19. 12. From Catastrophy to Chaos: The Modeling Practices of Applied Topologists
  20. 13. Beyond One-Case Statistics: Mathematics, Medicine and the Management of Health and Disease in the Post-War Era
  21. Index
3.15.147.215