“Joseph Ludwig Raabe”的意思、由来-开放百科全书

词条

Joseph Ludwig Raabe

释义

Life
Publications
References

Joseph Ludwig Raabe (15 May 1801 in Brody, Galicia – 22 January 1859 in Zürich, Switzerland) was a Swiss mathematician.^[1]

Life

As his parents were quite poor, Raabe was forced to earn his living from a very early age by giving private lessons. He began to study mathematics in 1820 at the Polytechnicum in Vienna, Austria. In the autumn of 1831, he moved to Zürich, where he became professor of mathematics in 1833. In 1855, he became professor at the newly founded Swiss Polytechnicum.^[1]

He is best known for Raabe's ratio test, an extension of d'Alembert's ratio test. Raabe's test serves to determine the convergence or divergence of an infinite series, in some cases.^[1] He is also known for the Raabe integral of the gamma function:^[2]

Publications

Differential- und Integralrechnung (3 volumes) (Zürich, 1839-1847)
Mathematische Mitteilungen (2 volumes) (1857-1858)

References

1. ^¹²{{MacTutor Biography|id=Raabe}}
2. ^{{citation|title=Elements of Mathematics Functions of a Real Variable|first=N.|last=Bourbaki|authorlink=Nicolas Bourbaki|publisher=Springer|year=2004|isbn=9783642593154|page=318|url=https://books.google.com/books?id=N-glBQAAQBAJ&pg=PA318}}.

4 : 1801 births|1859 deaths|People from Brody|Swiss mathematicians

随便看

开放百科全书收录14589846条英语、德语、日语等多语种百科知识，基本涵盖了大多数领域的百科知识，是一部内容自由、开放的电子版国际百科全书。