"Grassmann's first publication of his new system was made in 1844 in a book entitled "Die Lineale Ausdehnungslehre Ein Neuer Zweig der Mathematik." His novel and fruitful ideas were however presented in a somewhat abstruse and unusual form, with the result, as the author himself states in the preface to the second edition issued in 1878, that scarcely any notice was taken of the book by Mathematicians. He was finally convinced that it would be necessary to treat the subject in an entirely different manner in order to gain the attention of the mathematical world. Accordingly in 1862 he published "Die Ausdehnungslehre vollständig und in strenger Form bearbeitet," in which the treatment is algebraic... Since that time his great work has been more fully appreciated, but not even yet, in the opinion of the writer, at its real value."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
PolymathsMathematicians from GermanyPhysicists from GermanyEducators from GermanyLinguists from Germany
Original Language: English
Available Languages (1)
Sources
Edward Wyllys Hyde, Grassman's Space Analysis (1896)
https://en.wikiquote.org/wiki/Hermann_Grassmann
Revision History
No revisions have been submitted for this quote.
Categories
Hermann Grassmann
Hermann Günther Grassmann (April 15, 1809 – September 26, 1877) was a German polymath, best known as a mathematician and linguist. His mathematical work was little noted until he was in his sixties. He was also a physicist, neohumanist, general scholar, and publisher.
19 quotes on TrueQuotesView all quotes by Hermann Grassmann →
Related Quotes
"As I was reading the extract from your paper in the geometric sum and difference... I was struck by the marvelous sim…"
"From the imputation of confounding axioms with assumed concepts Euclid himself, however, is free. Euclid incorporated…"
"Geometry can in no way be viewed... as a branch of mathematics; instead, geometry relates to something already given …"
"It is clear... that the concept of space can in no wise be generated by thought. ...Whoever maintains the contrary mu…"
"The first impulse came from the consideration of negatives in geometry; I was accustomed to viewing the distances AB …"
"While I was pursuing the concept of geometrical product, as this idea was established by my father... I concluded tha…"
"A work on tidal theory... led me to Lagrange's Mécanique analytique and thereby I returned to those ideas of analysis…"
"The concept of rotation led to geometrical exponential magnitudes, to the analysis of angles and of trigonometric fun…"
"I feel entitled to hope that I have found in this new analysis the only natural method according to which mathematics…"
"The concept of centroid as sum led me to examine Möbius' Barycentrische Calcul, a work of which until then I knew onl…"