Mathematician:Ernst Eduard Kummer

Mathematician

German mathematician mostly active in the field of applied mathematics.

Also worked in abstract algebra and field theory.

Proved in $1850$ that Fermat's Last Theorem holds for all exponents $p$ such that $p$ is a regular prime.

Noted for his creation in $1845$ of the theory of ideals.

Related by marriage to Dirichlet.

Nationality

German

History

• Born: 29 Jan 1810, Sorau, Brandenburg, Prussia (now Germany)
• Died: 14 May 1893, Berlin, Germany

Theorems and Definitions

• Kummer's Confluent Hypergeometric Function
• Kummer Extension
• Kummer's Function
• Kummer Ring
• Kummer Series
• Kummer Surface
• Kummer Theory

• Kummer's Equation
• Kummer's Hypergeometric Theorem
• Kummer's Quadratic Transformation
• Kummer Sum
• Kummer's Theorem

Results named for Ernst Eduard Kummer can be found here.

Definitions of concepts named for Ernst Eduard Kummer can be found here.

Publications

• 1852: Über die Ergänzungssätze zu den allgemeinen Reciprocitätsgesetzen (J. reine angew. Math. Vol. 44: pp. 93 – 146) (in which Kummer's Theorem is presented)

Sources

• John J. O'Connor and Edmund F. Robertson: "Ernst Eduard Kummer": MacTutor History of Mathematics archive

• 1937: Eric Temple Bell: Men of Mathematics: Chapter $\text{XXVII}$
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Kummer, Ernst Eduard (1810-93)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Kummer, Ernst Eduard (1810-93)