Teiji Takagi (高木 貞治 Takagi Teiji, April 21, 1875 - February 28, 1960) was a Japanese mathematician, best known for proving the Takagi existence theorem in class field theory. April 21 is the 111th day of the year in the Gregorian calendar (112th in leap years). ... 1875 was a common year starting on Friday (see link for calendar). ... February 28 is the 59th day of the year in the Gregorian calendar. ... 1960 was a leap year starting on Friday (link will take you to calendar). ... A mathematician is a person whose area of study and research is mathematics. ... In class field theory, the Takagi existence theorem states in part that if K is a number field with class group G, there exists a unique abelian extension L/K with Galois group G, such that every ideal in K becomes principal in L, and that L is characterized by... Class field theory is a branch of algebraic number theory, including most of the major results that were proved in the period about 1900-1950. ...

He was born in the mountainous and rural region of Gifu, Japan. He began learning mathematics in middle school, reading texts in English since none were available in Japanese. After attending a high school for gifted students, he went on to the University of Tokyo, at that time the only university in Japan. There he learned mathematics from such European classic texts as Salmon's Algebra and Weber's Lehrbuch der Algeba. Aided by Hilbert, he then studied at Göttingen. Aside from his work in algebraic number theory he was notable for the quantity of textbooks he wrote in Japanese. Gifu is the name of several places: Gifu Prefecture, (Japan) Gifu City, (Japan) This is a disambiguation page — a navigational aid which lists other pages that might otherwise share the same title. ... The University of Tokyo (東京大学; Tōkyō Daigaku, abbreviated as 東大 Tōdai) is generally ranked as Japans most prestigious university. ... George Salmon (September 25, 1819 - January 22, 1904) was an Irish mathematician. ... David Hilbert David Hilbert (January 23, 1862 – February 14, 1943) was a German mathematician born in Wehlau, near Königsberg, Prussia (now Znamensk, near Kaliningrad, Russia) who is recognized as one of the most influential mathematicians of the 19th and early 20th centuries. ... Map of Germany showing Göttingen 1 External links Coat of Arms University of Göttingen Top: The old Auditorium Maximum (1862-65) Bottom: New library building Göttingen is a city in Lower Saxony, Germany. ... In mathematics, an algebraic number field (or simply number field) is a finite field extension of the rational numbers Q. That is, it is a field which contains Q and has finite dimension when considered as a vector space over Q. The study of algebraic number fields, and these days...