Mathematician:Jacob Lüroth

Mathematician

German mathematician who proved Lüroth's Theorem and introduced Lüroth quartics.

Discovered what is now known as Student t-distribution before Gosset.

Nationality

German

History

• Born: 18 February 1844, Mannheim, Baden, Germany.
• Died: 14 September 1910, Munich, Germany.

Theorems and Definitions

• Lüroth's Theorem
• Lüroth Quartic

Results named for Jacob Lüroth can be found here.

Definitions of concepts named for Jacob Lüroth can be found here.

Publications

• 1862: Elemente der Melete ("Calculations of [the asteroid] Melete") (with Carl Rapp)
• 1862: Ephemeride der Calypso ("Ephemerides for Calypso [an asteroid]")
• 1862: Drei Ringmikrometer-Beobachtungen der Urania am 5-füssigen Fraunhofer ("Three ring micrometer observations of Urania [an asteroid] on a 5-foot Fraunhofer [telescope]")
• 1863: Fünf ebensolche Beobachtungen der Asträa ("Five just such observations of Astraea [an asteroid]")
• 1865: Zur Theorie des Pascalschen Sechsecks ("Theory of Pascal's Hexagon")
• 1867: Zur Theorie der windschiefen Flächen ("On the theory of wind-swept surfaces")

• 1869: Einige Eigenschaften einer gewissen Gattung von Curven vierter Ordnung ("Some properties of a certain class of fourth-order curves") (Math. Ann. Vol. 1: pp. 37 – 53)

• 1873: Über das Rechnen mit Würfen
• 1875: Das Imaginäre in der Geometrie und das Rechnen mit Würfen. Darstellung und Erweiterung der v. Staudt'schen Theorie
• 1876: Beweis eines Satzes über rationale Kurven
• 1876: Vergleichung von zwei Werten des wahrscheinlichen Fehlers ("Comparison of two values of the probable error")
• 1881: Grundriss der Mechanik ("A plan of mechanics")
• 1900: Vorlesungen über numerisches Rechnen ("Lectures on numerical computing")

• 1892: Translation into German of Ulisse Dini's Fondamenti per la teoria delle funzioni di variabili reali of $1878$, as Grundlagen für eine Theorie der Funktionen einer veränderlichen reellen Grösse ("Foundations for the Theory of Functions of a Real Variable") (with Adolf Schepp)

Also known as

His name is sometimes written Lueroth, following the common printing convention for umlauted characters.

Similarly, his first name can also be seen rendered as Jakob.

Sources

• John J. O'Connor and Edmund F. Robertson: "Jacob Lüroth": MacTutor History of Mathematics archive