Hermann Grassmann
modernGerman Mathematical Philosophy1809 – 1877
Hermann Grassmann (1809-1877) was a German polymath best known for developing the foundations of linear and multilinear algebra through his Ausdehnungslehre (Theory of Extension). Though underappreciated in his lifetime, his work on vector spaces and exterior algebra became foundational to modern mathematics and physics, and he also made significant contributions to linguistics and Sanskrit studies.
Notable Achievements
1
Developed the Ausdehnungslehre (Theory of Extension), founding linear and multilinear algebra
2
Pioneered exterior algebra and the concept of vector spaces
3
Formulated Grassmann's law in phonology for Sanskrit and Greek
4
Produced an influential translation and dictionary of the Rigveda
5
Anticipated key structures later essential to differential geometry and relativity