This volume explores the profound impact of Felix Klein on the evolution of mathematics beyond Germany, particularly in number theory, algebra, geometry, analysis, and the application of mathematics in scientific and technical fields, as well as mathematics education. The various essays in it highlight the often-overlooked contributions of mathematicians from diverse backgrounds, including Czech, Greek, Hungarian, Japanese, Polish, Russian, and Ukrainian scholars who studied under Klein. By examining the protocols of Klein's seminars from 1872 to 1912, this book uncovers how his teachings shaped their careers. Additionally, it explores Klein's collaborative efforts with David Hilbert and their influence on international mathematical communication.
This volume is essential reading for historians of mathematics and researchers interested in the development of science and mathematics at the turn of the 20th century.
Chapter
1. Felix Kleins Vision: A School for Mathematical
Productivity Regardless of Nationality, Gender, and Area of Research.-
Chapter
2. About Polish students of Felix Klein.
Chapter
3. Mathematicians
from the Czech lands and Felix Klein.
Chapter
4. I have to tell you about
England!: Felix Kleins influence on the research of young British
mathematicians.
Chapter
5. Foreign inspiration and domestic tradition: the
Göttingen-speaking mathematicians in Turin.
Chapter
6. Mellen Woodman
Haskell in Leipzig and Göttingen.
Chapter
7. From Naples to Pavia, passing
from Göttingen. The scientific trajectory of Ernesto Pascal and his
relationship with Felix Klein.
Chapter
8. Wilhelm Wirtinger and his
publications on Abelian functions, in particular theta functions.
Chapter
9.
Felix Klein and his relations with Greek mathematicians as they appear in
their letters.
Chapter
10. Felix Kleins first female doctoral student Grace
Emily Chisholm Young A livelong connection concerning mathematical
research and more.
Chapter
11. From St Petersburg to Göttingen. About Helena
Bortkiewicz and Aleksandra Stebnicka.
Chapter
12. Bridging Göttingen and
Tokyo: Oral Culture and the Dynamics of Mathematical Knowledge.
Chapter
13.
Felix Kleins mature distance student, Encyklopädie contributor and
self-declared heir: the Austrian Richard von Mises.
Chapter
14. The presence
of Felix Klein in the process of modernization and internationalization of
mathematical culture in Spain and Argentina.
Chapter
15. Kleins Seminars on
Probability.
Chapter
16. Foreign Students in Felix Kleins Seminars.
Danuta Ciesielska is a historian of mathematics and science at the L. & A. Birkenmajer Institute for the History of Science of the Polish Academy of Sciences. She has published over 60 articles and five books, focusing on the history of mathematics, mathematical education, and women in science.
Henning Heller is a postdoctoral researcher in Mathematics Education at the University of Bonn. He focuses on integrating the history, philosophy, and education of mathematics, with a particular interest in Felix Klein.
Renate Tobies is a historian of mathematics and science at Friedrich Schiller University in Jena. She has published over ten books and hundreds of articles, focusing on the history of mathematics and its applications, as well as women in science and technology.
Joanna Zwierzyska is a PhD candidate at the L. & A. Birkenmajer Institute for the History of Science, Polish Academy of Sciences. Her research focuses on the history of mathematics, particularly Polish mathematics, and she has co-authored and edited several notable works in the field.