Die Ausdehnungslehre : vollständig und in strenger Form
著者
書誌事項
Die Ausdehnungslehre : vollständig und in strenger Form
（Cambridge library collection, . Mathematics）
Cambridge University Press, 2013
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注記
"This digitally printed version 2013"--T.p. verso
Reprint. Originally published: Berlin : Th. Chr. Enslin., 1862
Includes index
内容説明・目次
内容説明
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 Elie Cartan, and it is now recognised for the brilliant achievement that it was in the history of mathematics.
目次
- I. Die einfachen Verknupfungen extensiver Groessen: 1. Addition, Subtraktion, Vielfachung und Theilung extensiver Groessen
- 2. Die Produktbildung im Allgemeinen
- 3. Kombinatorisches Produkt
- 4. Inneres Produkt
- 5. Anwendung auf die Geometrie
- II. Funktionslehre: 1. Funktionen im Allgemeinen
- 2. Differenzialrechnung
- 3. Unendliche Reihen
- 4. Integralrechnung.
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