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Hermann Grassmann
Sign in to saveAlso known as Hermann Günther Grassmann
German polymath, linguist and mathematician (1809–1877)
Person · Open Library
- Born
- 1809
- Died
- 1877
- Works
- 21
Top works
- Lehrbuch der Arithmetik für höhere Lehranstalten
- Wörterbuch zum Rig-Veda
- Schraubenrechnung und Nullsystem
- Geometrische analyse geknüpft an die von Leibniz erfundene geometrische Charakteristik
- A flaw in the foundation of geometry
via Open Library + Wikidata
Recent publications · Crossref
5 total works indexed
- Global burden of 369 diseases and injuries in 204 countries and territories, 1990–2019: a systematic analysis for the Global Burden of Disease Study 2019
· 2020 · cited 15,393x
- Global, regional, and national incidence, prevalence, and years lived with disability for 354 diseases and injuries for 195 countries and territories, 1990–2017: a systematic analysis for the Global Burden of Disease Study 2017
· 2018 · cited 10,815x
- Global Burden of Cardiovascular Diseases and Risk Factors, 1990–2019
· 2020 · cited 9,767x
- Tricine-sodium dodecyl sulfate-polyacrylamide gel electrophoresis for the separation of proteins in the range from 1 to 100 kDa
· 1987 · cited 9,404x
- 2018 ESC/ESH Guidelines for the management of arterial hypertension
· 2018 · cited 8,156x
via Crossref · CC0
Quotes
- “From the imputation of confounding axioms with assumed concepts Euclid himself, however, is free. Euclid incorporated the former among his postulates while he separated the latter as common concepts—a proceeding which even on the part of his commentators was no longer understood, and likewise with modern mathematicians, unfortunately for science, has met with little imitation. As a matter of fact, the abstract methods of mathematical science know no axioms at all.”
- “Geometry can in no way be viewed... as a branch of mathematics; instead, geometry relates to something already given in nature, namely, space. I... realized that there must be a branch of mathematics which yields in a purely abstract way laws similar to geometry.”
- “It is clear... that the concept of space can in no wise be generated by thought. ...Whoever maintains the contrary must undertake to derive the dimensions of space from the pure laws of thought—a problem which is at once seen to be impossible of solution.”
- “A work on tidal theory... led me to Lagrange's Mécanique analytique and thereby I returned to those ideas of analysis. All the developments in that work were transformed through the principles of the new analysis in such a simple way that the calculations often came out more than ten times shorter than in Lagrange's work.”
- “The concept of rotation led to geometrical exponential magnitudes, to the analysis of angles and of trigonometric functions, etc. I was delighted how thorough the analysis thus formed and extended, not only the often very complex and unsymmetric formulae which are fundamental in tidal theory, but also the technique of development parallels the concept.”
- “I feel entitled to hope that I have found in this new analysis the only natural method according to which mathematics should be applied to nature, and according to which geometry may also be treated, whenever it leads to general and to fruitful results.”
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Key facts
- Born
- ( 1809-04-15 ) 15 April 1809, Stettin , Province of Pomerania , Kingdom of Prussia , (present-day Szczecin, Poland)
- Died
- 26 September 1877 (1877-09-26) (aged 68), Stettin, Province of Pomerania , Kingdom of Prussia, German Empire
- Alma mater
- University of Berlin
- Known for
- Bivector Color space Grassmannian Grassmann algebra Grassmann number Grassmann's law Grassmann's laws
- Awards
- PhD (Hon) :, University of Tübingen (1876)
- Institutions
- Stettin Gymnasium
via Wikipedia infobox
Wikidata facts
- Image
- Hermann Graßmann.jpg
- Number of children
- 11
Show 5 more facts
- date of birth
- 1809-04-15
- date of death
- 1877-09-26
- Commons category
- Hermann Grassmann
- name in native language
- Hermann Günther Graßmann
- birth name
- Hermann Günther Graßmann
via Wikidata · CC0
~19 min read
Article
1878 copy of Grassmann's "Die lineale Ausdehnungslehre" First page of "Die lineale Ausdehnungslehre" Hermann Günther Grassmann (German: Graßmann, pronounced [ˈhɛʁman ˈɡʏntɐ ˈɡʁasman]; 15 April 1809 – 26 September 1877) was a German polymath known in his day as a linguist and now also as a mathematician. He was also a physicist, general scholar, and publisher. His mathematical work was little noted until he was in his sixties. His work preceded and exceeded the concept which is now known as a vector space. He introduced the Grassmannian, the space which parameterizes all k-dimensional linear subspaces of an n-dimensional vector space V. In linguistics he helped free language history and structure from each other.
Biography