Ferdinand von Lindemann

Short description: German mathematician (1852–1939)

Ferdinand von Lindemann

Carl Louis Ferdinand von Lindemann

Born| (1852-04-12)12 April 1852

Hannover, German Confederation

Died| 6 March 1939(1939-03-06) (aged 86)

Munich, Germany

Nationality| Germany
Alma mater| Friedrich-Alexander-Universität Erlangen-Nürnberg
Known for| Proving π to be a transcendental number
Lindemann–Weierstrass theorem
Scientific career
Fields| Mathematics
Institutions| University of Munich, University of Freiburg
Doctoral advisor| C. Felix Klein[1]
Doctoral students|

* Emil Hilb
* David Hilbert
* Martin Kutta
* Alfred Loewy
* Hermann Minkowski
* Oskar Perron
* Arthur Rosenthal
* Arnold Sommerfeld
* Heinrich Wieleitner

Carl Louis Ferdinand von Lindemann (12 April 1852 - 6 March 1939) was a German mathematician, noted for his proof, published in 1882, that π (pi) is a transcendental number, meaning it is not a root of any polynomial with rational coefficients.

## Contents

* 1 Life and education
* 2 Transcendence proof
* 3 References
* 4 External links

## Life and education

Lindemann was born in Hanover, the capital of the Kingdom of Hanover. His father, Ferdinand Lindemann, taught modern languages at a Gymnasium in Hanover. His mother, Emilie Crusius, was the daughter of the Gymnasium's headmaster. The family later moved to Schwerin, where young Ferdinand attended school.

He studied mathematics at Göttingen, Erlangen, and Munich. At Erlangen he received a doctorate, supervised by Felix Klein,[1] on non-Euclidean geometry. Lindemann subsequently taught in Würzburg and at the University of Freiburg. During his time in Freiburg, Lindemann devised his proof that π is a transcendental number (see Lindemann–Weierstrass theorem). After his time in Freiburg, Lindemann transferred to the University of Königsberg. While a professor in Königsberg, Lindemann acted as supervisor for the doctoral theses of the mathematicians David Hilbert, Hermann Minkowski, and Arnold Sommerfeld.[2]

## Transcendence proof

In 1882, Lindemann published the result for which he is best known, the transcendence of π. His methods were similar to those used nine years earlier by Charles Hermite to show that e, the base of natural logarithms, is transcendental. Before the publication of Lindemann's proof, it was known that π was irrational, as Johann Heinrich Lambert proved π was irrational in the 1760s.

## References

1. ↑ 1.0 1.1 Ferdinand von Lindemann at the Mathematics Genealogy Project
2. ↑ "Ferdinand von Lindemann - Biography" (in en). https://mathshistory.st-andrews.ac.uk/Biographies/Lindemann/.

## External links

* O'Connor, John J.; Robertson, Edmund F., "Ferdinand von Lindemann", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Lindemann.html .
* Ferdinand von Lindemann at the Mathematics Genealogy Project
* Lindemann, F. "Über die Zahl π", Mathematische Annalen 20 (1882): pp. 213-225.

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