The Encyclopedia Britannica
11th Edition
published in 29 Volumnes, 1910 - 1911
Cambridge, England
at the University Press
New York, 120 West 32nd Street
1910
Ferdinand
Gotthold Max Eisenstein was a German mathematician. He specialized in
number theory and analysis, and proved several results that eluded even
Gauss. Like Galois and Abel before him, Eisenstein died before the age
of 30. He was born and died in Berlin, Prussia.
Gotthold Eisenstein
| Gotthold Eisenstein | |
|---|---|
Gotthold Eisenstein
|
|
| Born | 16 April 1823 Berlin, Prussia |
| Died | 11 October 1852 (aged 29) Berlin, Prussia |
| Nationality | German |
| Alma mater | University of Berlin |
| Scientific career | |
| Fields | Mathematics |
| Doctoral advisor | Ernst Eduard Kummer Nikolaus Wolfgang Fischer |
Contents
Early life
His parents, Johan Konstantin Eisenstein and Helene Pollack, were of Jewish descent and converted to Protestantism prior to his birth.[1] From an early age, he demonstrated talent in mathematics and music. As a young child he learned to play piano, and he continued to play and compose for piano throughout his life.He suffered various health problems throughout his life, including meningitis as an infant, a disease that took the lives of all five of his brothers and sisters. In 1837, at the age of 14, he enrolled at Friedrich Wilhelm Gymnasium, and soon thereafter at Friedrich Werder Gymnasium in Berlin. His teachers recognized his talents in mathematics, but by 15 years of age he had already learned all the material taught at the school. He then began to study differential calculus from the works of Leonhard Euler and Joseph-Louis Lagrange.
At 17, still a student, Eisenstein began to attend classes given by Peter Gustav Lejeune Dirichlet and others at the University of Berlin. In 1842, before taking his final exams, he traveled with his mother to England, to search for his father. In 1843 he met William Rowan Hamilton in Dublin, who gave him a copy of his book on Niels Henrik Abel's proof of the impossibility of solving fifth-degree polynomials, a work that would stimulate Eisenstein's interest in mathematical research.
Five remarkable years
In 1843 Eisenstein returned to Berlin, where he passed his graduation exams and enrolled in the University the following autumn. In January 1844 he had already presented his first work to the Berlin Academy, on cubic forms in two variables. The same year he met for the first time with Alexander von Humboldt, who would later become Eisenstein's patron. Humboldt managed to find grants from the King, the government of Prussia, and the Berlin academy to compensate for Eisenstein's extreme poverty.[2] The monies, always late and grudgingly given, were earned in full measure by Eisenstein: in 1844 alone he published over 23 papers and two problems in Crelle's Journal, including two proofs of the law of quadratic reciprocity, and the analogous laws of cubic reciprocity and quartic reciprocity.In June 1844 Eisenstein visited Carl Friedrich Gauss in Göttingen. In 1845, Kummer saw to it that he received an honorary doctorate at the University of Breslau. Jacobi also encouraged the distinction, but later relations between Jacobi and Eisenstein were always rocky, due primarily to a disagreement over the order of discoveries made in 1846. In 1847 Eisenstein habilitated at the University of Berlin, and he began to teach there. Bernhard Riemann attended his classes on elliptic functions.
Imprisonment and death
In 1848 Eisenstein was imprisoned briefly by the Prussian army for his revolutionary activities in Berlin. Eisenstein always had republican sympathies, and while he did not actively participate in the revolution of 1848, he was arrested on 19 March of that year. Although he was released just one day later, the harsh treatment he suffered damaged his already delicate health. But his association with the Republican cause led to his official stipends being revoked, despite Humboldt tenaciously coming to his defense.Despite his health, Eisenstein continued writing papers on quadratic partitions of prime numbers and the reciprocity laws. In 1851, at the instigation of Gauss, he was elected to the Academy of Göttingen; one year later, this time at the recommendation of Dirichlet, he was also elected to the Academy of Berlin.
He died of tuberculosis at the age of 29. Humboldt, then 83, accompanied his remains to the cemetery. He had recently obtained, too late, as it turned out, the funding necessary to send Eisenstein on holiday to Sicily.
Purported Gauss quote
Seit 1847 war er Privatdocent an der Universität zu Breslau, seit
dem 24. April 1852 ordentliches Mitglied der dortigen Akademie der
Wissenschaften, als welcher er am 1. Juli seine Antrittsrede hielt, ein
Vierteljahr später starb der geniale Mathematiker, den ein Gauß so sehr
seiner Freundschaft gewürdigt hatte, daß er eine Sammlung
Eisenstein’scher Aufsätze, welche 1848, also noch während des Lebens des
Verfassers, in Berlin erschien, mit einer Vorrede einleitete, und sich
gesprächsweise einmal äußerte, es habe nur drei epochebildende Mathematiker gegeben: Archimed, Newton, Eisenstein. Gauss ... in conversation once remarked that, there had been only three epoch-making mathematicians: Archimedes, Newton, and Eisenstein.
Although it is doubtful that Gauss really put Eisenstein in the same league as Newton, his writings show that Gauss thought very highly of Eisenstein. For example, a letter from Gauss to Humboldt, dated the 14th of April in 1846, says that Eisenstein's talent is one that nature bestows only a few times a century ("welche die Natur in jedem Jahrhundert nur wenigen erteilt").
Publications
- Eisenstein, Gotthold (1847), Mathematische Abhandlungen. Besonders aus dem Gebiete der höheren Arithmetik und der elliptischen Funktionen (in German), Reimer, Berlin
- Eisenstein, Gotthold (1975), Mathematische Werke (in German), New York: AMS Chelsea Publishing, ISBN 978-0-8284-1280-3, MR 0427029 Weil's review
See also
- Eisenstein's criterion
- Eisenstein ideal
- Eisenstein integer
- Eisenstein prime
- Eisenstein reciprocity
- Eisenstein sum
- Eisenstein series
- Eisenstein's theorem
- Eisenstein–Kronecker number
- Elliptic Gauss sum
- Real analytic Eisenstein series
-
https://www.massey.ac.nz/massey/fms/Colleges/College of Sciences...The life of Gotthold Ferdinand Eisenstein M.SCHMITZ Institute of Information & Mathematical Sciences ... Eisenstein just wanted to pursue mathematics, but
Available online at http://iims .massey.ac.nz/research/letters/
The life of Gotthold Ferdinand Eisenstein
M.SCHMITZ
Institute of Information & Mathematical Sciences
Massey University at Albany, Auckland, New Zealand
mariosemail@web.de
Gotthold Ferdinand Eisenstein (1823-1852) was one of the brilliant mathematicians of the
nineteenth century. The main goal of this article is to give a translation – from German into
English – of a Curriculum Vita that he wrote at age twenty, as part of his application for the
Examination of General Maturity for University Entrance (Abitur). This has often been
referred to as his autobiography. Some additional biographical information is also given,
with the aim of providing some further insights into his life and character in general.
_____________________________________________________________________________
1 Introduction
Gotthold Ferdinand Eisenstein was born on April 16, 1823 and died on October 11, 1852, aged 29. He was, until his death, the only surviving child of Johann Konstantin (1791-1875) and his wife Helene (1799-1876). He lost five siblings to meningitis, the disease which became . . . read more at https://www.massey.ac.nz/massey/fms/Colleges/College%20of%20Sciences/IIMS/RLIMS/Volume06/The_life_of_Gotthold_Ferdinand_Eisenstein.pdf
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