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Mathematician

Ferdinand Georg Frobenius

Modern

Ferdinand Georg Frobenius was a German mathematician, born on 26 October 1849 and died on 3 August 1917, best known for his contributions to the theory of elliptic functions, differential equations, number theory and group theory. He is known for the determinantal identities called the Frobenius-Stickelberger formulae and for developing the theory of biquadratic forms. He was the first to introduce rational approximations of functions, now known as Pade approximants, and gave the first full proof of the Cayley-Hamilton theorem. Frobenius manifolds in mathematical physics also carry his name.

Facts
Birth Year
1849 1
Death Year
1917 1
Biography
Gender
Male 1
Connections

In Branch

Differential Equations, Branches of Mathematics
Source Ferdinand Georg Frobenius (Wikipedia)
Group Theory, Branches of Mathematics
Source Ferdinand Georg Frobenius (Wikipedia)
Number Theory, Branches of Mathematics
Source Ferdinand Georg Frobenius (Wikipedia)

Mentored

Issai Schur, Mathematicians
Source Issai Schur (Wikipedia)

Mentored By

Karl Weierstrass, Mathematicians
Source Ferdinand Georg Frobenius (Wikipedia)

Proofs Credited

Frobenius Reciprocity Theorem, Theorems
Source Frobenius reciprocity, Wikipedia
In the Other Atlases
  • Also in Geography Atlas: Germany, nationality there.
Sources
1. Ferdinand Georg Frobenius (Wikipedia)
  • Lead paragraph
    his contributions to the theory of elliptic functions, different
  • Lead paragraph [nationality-culture]
    was a German mathematician
  • In Branch: Group Theory, Lead paragraph [in-branch]
    group theory
  • In Branch: Number Theory, Lead paragraph [in-branch 2]
    number theory
  • In Branch: Differential Equations, Lead paragraph [in-branch 3]
    differential equations
  • Mentored By: Karl Weierstrass, Infobox, doctoral advisor or academic advisors
View the Source
Frobenius reciprocity, Wikipedia
Proofs Credited: Frobenius Reciprocity Theorem, Lead paragraph
Quote, Proofs Credited: Frobenius Reciprocity Theorem, Lead paragraph
In mathematics, and in particular representation theory, Frobenius reciprocity is a theorem expressing a duality between the process of restricting and inducing. It can be used to leverage
View the Source
Issai Schur (Wikipedia)
Mentored: Issai Schur, Infobox, doctoral advisor or academic advisors
Quote, Mentored: Issai Schur, Infobox, doctoral advisor or academic advisors
As a student of Ferdinand Georg Frobenius, he worked on group representations (the subject with which he is most closely associated), but also in combinatorics and number theory and even theoretical physics.
View the Source

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