Ferdinand Minding: Difference between revisions
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'''Ferdinand Minding''' ({{lang-ru|Фердинанд Готлибович Миндинг}}; {{OldStyleDateDY|January 11|1806|December 30|1805}} - {{OldStyleDate|May 13|1885|May 1}}) was a German–Russian [[mathematician]] known for his contributions to [[differential geometry]]. He continued the work of [[Gauss]] |
'''Ferdinand Minding''' ({{lang-ru|Фердинанд Готлибович Миндинг}}; {{OldStyleDateDY|January 11|1806|December 30|1805}} - {{OldStyleDate|May 13|1885|May 1}}) was a German–Russian [[mathematician]] known for his contributions to [[differential geometry]]. He continued the work of [[Gauss]] concerning [[differential geometry of surfaces]], especially its intrinsic aspects. Minding considered questions of bending of surfaces and proved the invariance of [[geodesic curvature]]. He studied [[ruled surface]]s, [[developable surface]]s and [[surface of revolution|surfaces of revolution]] and determined geodesics on the [[pseudosphere]]. Minding's results on the geometry of geodesic triangles on a surface of constant curvature (1840) anticipated [[Eugenio Beltrami|Beltrami]]'s approach to the foundations of [[non-Euclidean geometry]] (1868). |
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Minding was largely self-taught in mathematics. He attended lectures in the [[University of Halle]] and eventually graduated with a thesis "De valore intergralium duplicium quam proxime inveniendo" (1829). |
Minding was largely self-taught in mathematics. He attended lectures in the [[University of Halle]] and eventually graduated with a thesis "De valore intergralium duplicium quam proxime inveniendo" (1829). |
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Minding worked as a teacher in Elberfeld and as a university lecturer in Berlin. His work on [[statics]] drew attention of [[Alexander von Humboldt]]. However, his 1842 bid for election to [[Berlin Academy]], supported by [[Dirichlet]], failed and |
Minding worked as a teacher in Elberfeld and as a university lecturer in Berlin. His work on [[statics]] drew attention of [[Alexander von Humboldt]]. However, his 1842 bid for election to [[Berlin Academy]], supported by [[Dirichlet]], failed and during 1843 he relocated to the [[University of Dorpat]], where he had a post of a professor of mathematics for the next 40 years. In Dorpat he taught [[Karl Peterson]] and supervised his doctoral thesis that established the [[Gauss–Bonnet theorem]] and derived [[Gauss–Codazzi equations]]. Minding also worked on [[differential equation]]s (Demidov prize of the St Petersburg Academy during 1861), [[algebraic function]]s, [[continued fraction]]s and [[analytical mechanics]]. His list of publications consists of some 60 titles, including several books. Many of his scientific accomplishments were only recognized properly after his death. |
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== References == |
== References == |
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Revision as of 17:13, 17 January 2010
Ferdinand Minding | |
|---|---|
 | |
| Born | Dec 30, 1805/Jan 11, 1806 |
| Died | May 1, 1885/May 13, 1885 |
| Citizenship | Russian |
| Alma mater | University of Halle |
| Known for | invariance of geodesic curvature, geodesics on pseudosphere, bending of surfaces |
| Awards | Demidov Prize of St Peterburg Academy of Sciences (1861) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of Berlin, University of Dorpat |
| Notes | |
Birth and death dates are given according to Neue Deutsche Biographie (in Julian and Gregorian calendar) | |
Ferdinand Minding (Russian: Фердинанд Готлибович Миндинг; January 11 1806 [O.S. December 30] - May 13 [O.S. May 1] 1885) was a German–Russian mathematician known for his contributions to differential geometry. He continued the work of Gauss concerning differential geometry of surfaces, especially its intrinsic aspects. Minding considered questions of bending of surfaces and proved the invariance of geodesic curvature. He studied ruled surfaces, developable surfaces and surfaces of revolution and determined geodesics on the pseudosphere. Minding's results on the geometry of geodesic triangles on a surface of constant curvature (1840) anticipated Beltrami's approach to the foundations of non-Euclidean geometry (1868).
Minding was largely self-taught in mathematics. He attended lectures in the University of Halle and eventually graduated with a thesis "De valore intergralium duplicium quam proxime inveniendo" (1829). Minding worked as a teacher in Elberfeld and as a university lecturer in Berlin. His work on statics drew attention of Alexander von Humboldt. However, his 1842 bid for election to Berlin Academy, supported by Dirichlet, failed and during 1843 he relocated to the University of Dorpat, where he had a post of a professor of mathematics for the next 40 years. In Dorpat he taught Karl Peterson and supervised his doctoral thesis that established the Gauss–Bonnet theorem and derived Gauss–Codazzi equations. Minding also worked on differential equations (Demidov prize of the St Petersburg Academy during 1861), algebraic functions, continued fractions and analytical mechanics. His list of publications consists of some 60 titles, including several books. Many of his scientific accomplishments were only recognized properly after his death.
References
- Gottlob Kirschmer (1994), "Minding, Ferdinand", Neue Deutsche Biographie (in German), vol. 17, Berlin: Duncker & Humblot, pp. 536–537