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  3. Die Lineale Ausdehnungslehre ein neuer Zweig der Mathematik
  • Cited by 5
Publisher:
Cambridge University Press
Online publication date:
October 2013
Print publication year:
2012
First published in:
1844
Online ISBN:
9781139237352
DOI:
https://doi.org/10.1017/CBO9781139237352
Subjects:
Mathematics (general), Mathematics, History of Mathematical Texts, Algebra
Series:
Cambridge Library Collection - Mathematics
Information

Book description

The Prussian schoolmaster Hermann Grassmann (1809–77) taught a range of subjects including mathematics, science and Latin and wrote several secondary-school textbooks. Although he was never appointed to a university post, he devoted much energy to mathematical research and developed revolutionary new insights. Die lineale Ausdehnungslehre, published in 1844, is an astonishing work which was not understood by the mathematicians of its time but which anticipated developments that took a century to come to fruition - vector spaces, dimension, exterior products and many other ideas. Admired rather than read by the next generation, it was only fully appreciated by mathematicians such as Peano and Whitehead.

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