# Maxime Bôcher

**Maxime Bôcher** (born August 28, 1867 in Boston , Massachusetts, † September 12, 1918 in Cambridge ) was an American mathematician who worked in the fields of differential equations , series and algebra .

## life and work

Bôcher, whose father was a French professor at Harvard University , studied at Harvard University from 1883 to 1888 (mathematics with Benjamin Peirce , but also numerous other subjects) and then at the University of Göttingen (with Felix Klein and Hermann Amandus Schwarz , Arthur Schoenflies ), where he received his doctorate from Klein in 1891 with his dissertation *on the series developments of potential theory* (published as a book in 1894). For his dissertation he received a prize from the University of Göttingen. He then returned to Harvard, where he became an assistant professor in 1894 and a professor in 1904. He was instrumental in the rise of mathematics in the USA in the early 20th century.

His textbook on algebra was also known ( *Introduction to Higher Algebra* , MacMillan 1907). In a 1906 paper in the Annals of Mathematics , he gave the first rigorous treatment of the Gibbs phenomenon in the theory of Fourier series . In 1917 his lectures appeared on the Sturm theory of differential equations, which he had given in Paris.

He was the first Colloquium Lecturer of the American Mathematical Society (AMS) and founder of the Transactions of the AMS . In 1899 he was elected to the American Academy of Arts and Sciences , and in 1909 he was accepted into the National Academy of Sciences . From 1909 to 1910 he was president of the AMS. In 1912 he was invited speaker (plenary lecture) at the International Congress of Mathematicians (ICM) in Cambridge ( Boundary problems in one dimension ). Since 1916 he was a member of the American Philosophical Society .

The Bôcher Memorial Prize , a high analysis prize, is named after him.

In 1891 he met Marie Niemann in Göttingen, whom he married in the same year and with whom he had three children.

## Web links

**Wikisource: Maxime Bôcher**- Sources and full texts

- John J. O'Connor, Edmund F. Robertson :
*Maxime Bôcher.*In:*MacTutor History of Mathematics archive .* - Bocher "Boundary Value Problems in Ordinary Differential Equations", Encyclopedia of Mathematical Sciences 1900
- Author profile in the database zbMATH

personal data | |
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SURNAME | Bôcher, Maxime |

BRIEF DESCRIPTION | American mathematician |

DATE OF BIRTH | August 28, 1867 |

PLACE OF BIRTH | Boston , Massachusetts |

DATE OF DEATH | September 12, 1918 |

Place of death | Cambridge |