Die Lineale Ausdehnungslehre ein neuer Zweig der Mathematik

This astonishing 1844 publication by the Prussian schoolmaster Hermann Grassmann (1809–77) was not understood by the mathematicians of his day, and was ignored for many years. However, it anticipated twentieth-century developments such as vector spaces, dimension, and exterior products, and is now regarded as a foundational work.

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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.