Lazarus Fuchs facts for kids
Quick facts for kids
Lazarus Fuchs
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Lazarus Immanuel Fuchs (1833–1902)
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| Born | 5 May 1833 Moschin, Prussia
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| Died | 26 April 1902 (aged 68) |
| Nationality | German |
| Alma mater | University of Berlin |
| Known for | Fuchs relation Fuchs' theorem Fuchsian groups Fuchsian model Fuchsian theory Picard–Fuchs equation |
| Scientific career | |
| Institutions | University of Greifswald University of Heidelberg University of Berlin University of Göttingen |
| Doctoral advisor | Karl Weierstraß |
| Doctoral students | Gerhard Hessenberg Edmund Landau Hermann Schapira Ludwig Schlesinger Issai Schur Theodor Vahlen Ernst Zermelo |
| Influences | Ernst Kummer |
| Influenced | Jules Henri Poincaré Camille Jordan Felix Christian Klein |
Lazarus Immanuel Fuchs (born May 5, 1833 – died April 26, 1902) was a German mathematician. He made important discoveries in the field of linear differential equations. These are special types of equations that describe how things change.
Fuchs was born in a town called Moschin (now Mosina) in what was then Prussia. He passed away in Berlin, Germany. His grave is in St. Matthew's Cemetery in Schöneberg, Berlin, and is considered an honored grave.
What He is Known For
Lazarus Fuchs is famous for several mathematical ideas named after him. These include Fuchsian groups and functions. He also contributed to the Picard–Fuchs equation.
One of his key ideas was about "singular points" in equations. Imagine a point where an equation behaves strangely. Fuchs studied these points. He found ways to tell if a singular point was "regular" or not. This helped mathematicians understand how to find solutions to these complex equations.
He also developed "Fuchs's conditions." These conditions help figure out if certain non-linear equations have predictable solutions. This means the solutions don't suddenly change in unexpected ways.
His Teaching Style
Fuchs was also known for his unique way of teaching. When he taught at the Heidelberg University, he didn't prepare his lectures beforehand. He knew mathematics so deeply that he would simply think out loud during class. This allowed his students to see how a brilliant mathematician solved problems. It was like watching a master artist create a painting right in front of you!
Lazarus Fuchs had a son named Richard Fuchs. Richard also became a mathematician.
His Books and Papers
Here are some of the important works Lazarus Fuchs published:
- Über Funktionen zweier Variabeln, welche durch Umkehrung der Integrale zweier gegebener Funktionen entstehen (About functions of two variables, which arise from inverting the integrals of two given functions), Göttingen 1881.
- Zur Theorie der linearen Differentialgleichungen (On the theory of linear differential equations), Berlin 1901.
- Gesammelte Werke (Collected Works), edited by Richard Fuchs and Ludwig Schlesinger. 3 volumes. Berlin 1904–1909.
See also
In Spanish: Lazarus Fuchs para niños
