# Klein, Hilbert, and the Gottingen Mathematical Tradition

@article{Rowe1989KleinHA, title={Klein, Hilbert, and the Gottingen Mathematical Tradition}, author={David E. Rowe}, journal={Osiris}, year={1989}, volume={5}, pages={186 - 213} }

T HE WILHELMIAN ERA witnessed an enormous transformation in German mathematics, one that manifested itself not only in new research developments in pure mathematics but also in the emergence of a growing concern for areas where mathematics could potentially be applied. Research in pure mathematics moved away from traditional subjects like elliptic and Abelian functions, algebraic geometry, and invariant theory, fields in which a premium was placed on computational techniques and algorithmic…

## 89 Citations

Branch Points of Algebraic Functions and the Beginnings of Modern Knot Theory

- Mathematics
- 1995

Many of the key ideas which formed modern topology grew out of “normal research” in one of the mainstream fields of 19th-century mathematical thinking, the theory of complex algebraic functions.…

Mathematics Made in Germany: On the Background to Hilbert’s Paris Lecture

- Mathematics
- 2013

Submissions should be uploaded to http://tmin.edmgr.com or to be sent directly to David E. Rowe, rowe@mathematik.uni-mainz.de M uch has been written about the famous lecture on ‘‘Mathematical…

Knot Invariants in Vienna and Princeton during the 1920s: Epistemic Configurations of Mathematical Research

- SociologyScience in Context
- 2004

In 1926 and 1927, James W. Alexander and Kurt Reidemeister claimed to have made “the same” crucial breakthrough in a branch of modern topology which soon thereafter was called knot theory. A detailed…

On the Background to Hilbert’s Paris Lecture “Mathematical Problems”

- History
- 2018

Much has been written about the famous lecture on “Mathematical Problems” (Hilbert 1901) that David Hilbert delivered at the Second International Congress of Mathematicians, which took place in Paris…

Abstract relations: bibliography and the infra-structures of modern mathematics

- Computer ScienceSynthese
- 2020

This essay examines the historical, institutional, embodied, and conceptual bases of mathematical abstracting and abstraction in the mid-twentieth century, placing them in historical context within the first half of the twentieth century and then examining their consequences and legacies for the second half of that century and beyond.

Epilogue: Forging New Relationships, 1870–1914

- Mathematics
- 1999

By 1870 both physics and mathematics had become distinct academic specialties within universities across Europe and, in these forms, spread to the United States, Japan and elsewhere. The research…

Hilbert's Foundation of Physics: From a Theory of Everything to a Constituent of General Relativity

- Physics
- 2007

Remarkably, Einstein was not the first to discover the correct form of the law of warpage [of space-time, i.e. the gravitational field equations], the form that obeys his relativity principle.…

The Calm Before the Storm: Hilbert’s Early Views on Foundations

- Mathematics
- 2000

In recent years there has been a growing interest among historians and philosophers of mathematics in the history of logic, set theory, and foundations.1 This trend has led to a major reassessment of…

Berlin Roots – Zionist Incarnation: The Ethos of Pure Mathematics and the Beginnings of the Einstein Institute of Mathematics at the Hebrew University of Jerusalem

- Biology, MathematicsScience in Context
- 2004

Why and how the Einstein Institute of Mathematics succeeded in rejecting applied mathematics from its court is shown and the controversial issue of center and periphery in the development of science is explored.

Frobenius, Schur, and the Berlin Algebraic Tradition

- Mathematics
- 1998

Ferdinand Georg Frobenius (1849-1917) and Issai Schur (1875-1941) ranked among the most distinguished representatives of what may be called the Berlin algebraic tradition. The tradition originated…

## References

SHOWING 1-2 OF 2 REFERENCES

Über die Grundlagen der Logik und der Arithmetik

- Philosophy
- 1905

Der Autor ist der Meinung, dass man durch die im Folgenden kurz dargestellte axiomatische Methode zu einer strengen und vollig befriedigenden Begrundung des Zahlbegriffes gelangen kann.