E-grāmata: Richness of the History of Mathematics: A Tribute to Jeremy Gray

Part I: Practicing the History of Mathematic.
Chapter
1. A
problem-oriented multiple perspective way into history of mathematics what,
why and how illustrated by practice.- Chapter
2. Mathematics, history of
mathematics and Poncelet: the context of the Ecole Polytechnique.
Chapter
3.
Advice to a young mathematician wishing to enter the history of mathematics.-
Chapter
4. Why historical research needs mathematicians now more than
ever.- Chapter
5. Further thoughts on anachronism: A presentist reading of
Newtons Principia.- Part II: Practices of Mathematics.
Chapter
6. On Felix
Kleins Early Geometrical Works, 18691872.
Chapter
7. Poincar´e and
arithmetic revisited.
Chapter
8. Simplifying a proof of transcendence for
letter exchange between Adolf Hurwitz, David Hilbert and Paul Gordan.-
Chapter
9. Current and classical notions of function in real analysis.-
Chapter
10. No mother has ever produced an intuitive mathematician: the
question of mathematical heritability at the end of the nineteenth century).-
Chapter
11. Learning from the masters (and some of their pupils).- Part III:
Mathematics and Natural Sciences.
Chapter
12. Mathematical practice in
Chinese mathematical astronomy.
Chapter
13. On Spaceand Geometry in the
19th century.
Chapter
14. Gauging Potentials: Maxwell, Lorenz, Lorentz and
others on linking the electric-scalar and vector potentials.
Chapter
15.
Ronald Ross and Hilda Hudson: a collaboration on the mathematical theory of
epidemics.- Part IV: Modernism.
Chapter
16. How Useful is the term
modernism for understanding the history of early twentieth-century
mathematics?.
Chapter
17. What is the right way to be modern? Examples from
integration theory in the 20th century.
Chapter
18. On set theories and
modernism.
Chapter
19. Mathematical modernism, goal or problem? The opposing
views of Felix Hausdorff and Hermann Wey.- Part V: Mathematicians and
Philosophy.
Chapter
20. The direction-theory of parallels Geometry and
philosophy in the age of Kant.
Chapter
21. The geometers gaze: On H. G.
Zeuthens holistic epistemology of mathematics.
Chapter
22. Variations on
Enriques scientific philosophy.- Part VI: Philosophical Issues.
Chapter
23. Whos afraid of mathematical platonism? On the pre-history of
mathematical platonism.
Chapter
24. History of mathematics illuminates
philosophy of mathematics: Riemann, Weierstrass and mathematical
understanding.
Chapter
25. What we talk about when we talk about
mathematics.- Part VII: The Making of a Historian of Mathematics.
Chapter
26. History is a foreign country: a journey through the history of
mathematics.
Chapter
27. Reflections.- Appendices.

Karine Chemla is a French historian of mathematics and sinologist who works as a director of research at the Centre national de la recherche scientifique (CNRS), Research group SPHERE. She is also a senior fellow at the New York University Institute for the Study of the Ancient World. She was elected a Member of the American Philosophical Society in 2019 and received the Otto Neugebauer Prize from the European Mathematical Society in 2020.









José Ferreirós is a historian and philosopher of Mathematics, a Professor of Logic and Philosophy of Science at the University of Seville (Spain) and member of the Institute of Mathematics at Seville (IMUS). He is the author of Mathematical Knowledge and the Interplay of Practices (Princeton UP, 2016), and editor of The Architecture of Modern Mathematics (with J. Gray, Oxford UP, 2006). Ferreirós has served as president of the Association for the Philosophy of Mathematical Practice, and has also done research onthe physical sciences and the philosophy of experimental science.

Lizhen Ji is a mathematician interested in the history of mathematics. In the past few years, he has started to develop active interest in the history of mathematicshas. In mathematics, he has studied several topics in analysis, geometry, topology and group theory. In particular, he has studied symmetric spaces, locally symmetric spaces, arithmetic groups and related discrete groups from various points of view. SL(n, Z) is one of the most basic examples of arithmetic groups, and it acts on the symmetric space of positive definite matrices of determinant 1. The quotient of the symmetric space by SL(n, Z) is a locally symmetric space, which occurs naturally in many subjects from differential geometry, topology, geometry group theory to number theory. Though these spaces and groups have been studied extensively by many people over a long period of time, there are still many open problems. In the history of mathematics, he has been interested in the works of Poincaré and Galois.







Scholz studied mathematics at the University of Bonn and the University of Warwick from 1968 to 1975 with Diplom from the University of Bonn in 1975. In 1979, he completed his doctorate (Promotion) at the University of Bonn with thesis Entwicklung des Mannigfaltigkeitsbegriffs von Riemann bis Poincaré (Development of the concept of manifold from Riemann to Poincaré) under the supervision of Egbert Brieskorn and Henk J. M. Bos. In 1986, Scholtz habilitated at the University of Wuppertal. There he became in 1989 an associate professor of the history of mathematics and retired in 2012. He also works at the University of Wuppertal's Interdisziplinären Zentrum für Wissenschafts- und Technikforschung (IZWT, Interdisciplinary Center for Science and Technology Research), which he co-founded in 2004. In 1993, he was a visiting professor at the Institut für Wissenschaftsgeschichte (Institute for the History of Science) at the University of Göttingen.







Chang Wang, a professor of the history of mathematics in the Institute for Advanced Studies in History of Science, Northwest University, Xian, China. He has been studying the history of mathematics, especially the history of topology and Poincaré. He graduated from the Mathematical Department of Northwest University in 2012, and became a lecturer in the same year. In 2016, he became an associate professor of the history of mathematics in the Institute for Advanced Studies in History of Science, and was promoted to professorship in the year 2021. He was a council member of the Chinese Mathematical History Society. He has organized several international conferences in China. He serves as an expert reviewer for the Studies in the History of Natural Sciences and The Chinese Journal for The History of Science and Technology..