# Marcel Grossmann

Marcel Grossmann | |
---|---|

| |

Born |
Budapest, Austria-Hungary | April 9, 1878

Died |
September 7, 1936 58) Zurich, Switzerland | (aged

Alma mater | Federal Polytechnic School |

Awards |
honorary member (1935) of the Swiss Mathematical Society^{[1]} |

Scientific career | |

Fields | Mathematics |

Doctoral advisor | Wilhelm Fiedler |

**Marcel Grossmann** (Hungarian: *Grossmann Marcell*, April 9, 1878 – September 7, 1936) was a mathematician and a friend and classmate of Albert Einstein. Grossmann was a member of an old Swiss family from Zurich. His father managed a textile factory. He became a Professor of Mathematics at the Federal Polytechnic School in Zurich, today the ETH Zurich, specializing in descriptive geometry.

## Career

In 1900 Grossmann graduated from the Federal Polytechnic School (ETH) and became an assistant to the geometer Wilhelm Fiedler. He continued to do research on non-Euclidean geometry and taught in high schools for the next seven years. In 1902, he earned his doctorate from the ETH with the thesis *On the Metrical Properties of Collinear Structures* with Fiedler as advisor. In 1907, he was appointed full professor of descriptive geometry at the Federal Polytechnic School.

As a professor of geometry, Grossmann organized summer courses for high school teachers. In 1910, he became one of the founders of the Swiss Mathematical Society. He was an Invited Speaker of the ICM in 1912 at Cambridge UK^{[2]} and in 1920 at Strasbourg.

### Collaborations with Albert Einstein

Albert Einstein's friendship with Grossmann began with their school days in Zurich. Grossmann's careful and complete lecture notes at the Federal Polytechnic School proved to be a salvation for Einstein, who missed many lectures.^{[3]} Grossmann's father helped Einstein get his job at the Swiss Patent Office in Bern,^{[4]} and it was Grossmann who helped to conduct the negotiations to bring Einstein back as a professor of physics at the Zurich Polytechnic. Grossmann was an expert in differential geometry and tensor calculus; just the mathematical tools Einstein discovered were needed for his work on gravity. Thus, it was natural that Einstein would enter into a scientific collaboration with Grossmann.^{[5]}

It was Grossmann who emphasized the importance of a non-Euclidean geometry called Riemannian geometry (also elliptic geometry) to Einstein, which was a necessary step in the development of Einstein's general theory of relativity. Abraham Pais's book^{[6]} on Einstein suggests that Grossmann mentored Einstein in tensor theory as well. Grossmann introduced Einstein to the absolute differential calculus, started by Christoffel^{[7]} and fully developed by Ricci-Curbastro and Levi-Civita.^{[8]} Grossmann facilitated Einstein's unique synthesis of mathematical and theoretical physics in what is still today considered the most elegant and powerful theory of gravity: the general theory of relativity. The collaboration of Einstein and Grossmann led to a ground-breaking paper: "Outline of a Generalized Theory of Relativity and of a Theory of Gravitation", which was published in 1913 and was one of the two fundamental papers which established Einstein's theory of gravity.^{[9]}

## Death

Grossmann died of multiple sclerosis in 1936. The community of relativists celebrates Grossmann's contributions to physics by organizing Marcel Grossmann meetings every three years.

## See also

*Genius*, a television series depicting Einstein's life- History of general relativity

## Notes

- ↑ "Honorary Members of the SMS".
- ↑ Grossmann, Marcel. "Die Zentralprojektion in der absoluten Geometrie" (PDF). In:
*Proceedings of the Fifth International Congress of Mathematicians (Cambridge, 22–28 August 1912)*. vol. 2. pp. 66–69. Archived from the original (PDF) on 3 December 2017. - ↑ Alice Calaprice, Daniel Kennefick, Robert Schulmann,
*An Einstein Encyclopedia*, Princeton University Press, 2015, p. 70. - ↑ Janssen, Michel; Renn, Jürgen (2015-11-19). "History: Einstein was no lone genius".
*Nature*.**527**(7578): 298–300. Bibcode:2015Natur.527..298J. doi:10.1038/527298a. - ↑ J. Earman and C. Glymour, Lost in the Tensors: Einstein's Struggles with Covariance Principles, 1912-1916, footnote page 255; Carnegie Mellon University Research Showcase (accessed February 12, 2016)
- ↑ Pais, Abraham (1982).
*Subtle is the lord: the science and life of Albert Einstein*. - ↑ Christoffel, E.B. (1869), "Ueber die Transformation der homogenen Differentialausdrücke zweiten Grades",
*Journal für die reine und angewandte Mathematik*, B. 70: 46–70 - ↑ Ricci, Gregorio; Levi-Civita, Tullio (March 1900), "Méthodes de calcul différentiel absolu et leurs applications" (PDF),
*Mathematische Annalen*, Springer,**54**(1–2): 125–201, doi:10.1007/BF01454201 - ↑ Einstein, A.; Grossmann, M. (1913). "Entwurf einer verallgemeinerten Relativitätstheorie und einer Theorie der Gravitation": 225–261.

## References

- Pais, Abraham (1982).
*Subtle is the Lord: the science and life of Albert Einstein*. Oxford: Oxford University Press. ISBN 0-19-853907-X. - Einstein, A.; Grossmann, M. (1913). "Entwurf einer verallgemeinerten Relativitätstheorie und einer Theorie der Gravitation" [Outline of a Generalized Theory of Relativity and of a Theory of Gravitation].
*Zeitschrift für Mathematik und Physik*.**62**: 225–261. English translate - Einstein, A.; Grossmann, M. (1914). "Kovarianzeigenschaften der Feldgleichungen der auf die verallgemeinerte Relativitätstheorie gegründeten Gravitationstheorie" [Covariance Properties of the Field Equations of the Theory of Gravitation Based on the Generalized Theory of Relativity].
*Zeitschrift für Mathematik und Physik*.**63**: 215–225. Bibcode:1914ZMP....63..215E. - Graf-Grossmann, Claudia, with T. Sauer,
*Marcel Grossmann: Aus Liebe zur Mathematik*, Römerhof-Verlag, Zürich, 2015, ISBN 978-3-905894-32-5 - T. Sauer, ''Marcel Grossmann's contribution to the general theory of relativity'', in: ''Proceedings of the 13th Marcel Grossmann meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories'', July 2012. Edited by Robert T. Jantzen, Kjell Rosquist, Remo Ruffini. World Scientific, 2015, pp. 456–503.(http://arxiv.org/abs/1312.4068)
- Graf-Grossmann, Claudia, with T. Sauer, English translation by William D. Brewer, ´´Marcel Grossmann: For the Love of Mathematics´´, Springer Biographies, 2018, ISBN-10: 3319900765, ISBN-13: 978-3319900766