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Hermann Hankel

Hermann Hankel German mathematician

German mathematician
The basics
Quick Facts
Intro German mathematician
Known for Hankel matrix, Hankel function
A.K.A. 汉开尔, 赫尔曼·汉开尔
Was Mathematician Historian Historian of mathematics
From Germany
Type Academia Mathematics Social science
Gender male
Birth 14 February 1839, Halle (Saale), Germany
Death 29 August 1873, Schramberg, Germany (aged 34 years)
Star sign AquariusAquarius
Family
Spouse: Marie Hankel
The details
Biography

Hermann Hankel (14 February 1839 – 29 August 1873) was a German mathematician who was born in Halle, Germany and died in Schramberg (Black Forest), Imperial Germany.

He studied and worked with, among others, Möbius, Riemann, Weierstrass and Kronecker.

His 1867 exposition on complex numbers and quaternions is particularly memorable. For example, Fischbein notes that he solved the problem of products of negative numbers by proving the following theorem: "The only multiplication in R which may be considered as an extension of the usual multiplication in R by respecting the law of distributivity to the left and the right is that which conforms to the rule of signs." Furthermore, Hankel draws attention to the linear algebra that Hermann Grassmann had developed in his Extension Theory in two publications. This was the first of many references later made to Grassmann's early insights on the nature of space.

Selected publications

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Reference sources
References
https://archive.org/details/dieeulerschenin00hankgoog
https://books.google.com/books?id=754KAAAAYAAJ&printsec=frontcover&dq=%22hermann+Hankel%22&lr=&cd=15#v=onepage&q=&f=false
https://books.google.com/books?id=TE3kAAAAMAAJ&printsec=frontcover&dq=%22hermann+Hankel%22&lr=&cd=13#v=onepage&q=&f=false
http://visualiseur.bnf.fr/ark:/12148/bpt6k995758
http://visualiseur.bnf.fr/ark:/12148/bpt6k82883t
https://books.google.com/books?id=QnQLAAAAYAAJ&printsec=frontcover&dq=%22hermann+Hankel%22&cd=10#v=onepage&q=&f=false
https://books.google.com/books?id=qqGWlEwWj5UC&printsec=frontcover&hl=it#v=onepage&q&f=true
//www.ams.org/mathscinet-getitem?mr=0921434
https://web.archive.org/web/20140228144250/http://media.accademiaxl.it/memorie/Serie5_V18_P1.pdf
//www.ams.org/mathscinet-getitem?mr=1327463
//zbmath.org/?format=complete&q=an:0852.28001
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