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  3. Die Ausdehnungslehre
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  • Publisher:
    Cambridge University Press
    Publication date:
    October 2014
    October 2013
    ISBN:
    9781107325081
    9781108065610
    DOI:
    https://doi.org/10.1017/CBO9781107325081
    Dimensions:
    Weight & Pages:
    Dimensions:
    (216 x 140 mm)
    Weight & Pages:
    0.51kg, 406 Pages
    • Subjects:
    Mathematics (general), Mathematics, History of Mathematical Texts, Algebra
    Series:
    Cambridge Library Collection - Mathematics
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    Subjects:
    Mathematics (general), Mathematics, History of Mathematical Texts, Algebra
    Series:
    Cambridge Library Collection - Mathematics
    Information

    Book description

    In 1844, the Prussian schoolmaster Hermann Grassmann (1809–77) published Die Lineale Ausdehnungslehre (also reissued in the Cambridge Library Collection). This revolutionary work anticipated the modern theory of vector spaces and exterior algebras. It was little understood at the time and the few sympathetic mathematicians, rather than trying harder to comprehend it, urged Grassmann to write an extended version of his theories. The present work is that version, first published in 1862. However, this also proved too far ahead of its time and Grassmann turned to historical linguistics, in which field his contributions are still remembered. His mathematical work eventually found champions such as Hankel, Peano, Whitehead and Élie Cartan, and it is now recognised for the brilliant achievement that it was in the history of mathematics.

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