Gustav lejeune dirichlet biography
•
Dirichlet
Overview
- Authors:
- Uta C. Merzbach
Georgetown, TX, USA
- Provides a general context for the life of an influential European mathematician who lived in the first half of the nineteenth century
- Details the extent to which certain mathematicians of the period were affected by political and social circumstances as well as by their own contributions
- Shows how representatives of science, politics, and the arts interacted in the early nineteenth century
Access this book
Log in via an institution
Other ways to access
About this book
This is the first extensive biography of the influential German mathematician, Peter Gustav Lejeune Dirichlet (1805 – 1859). Dirichlet made major contributions to number theory in addition to clarifying concepts such as the representation of functions as series, the theory of convergence, and potential theory. His mathematical methodology was explicitly based on a thorough knowledge of the work of his predecessors and his belief in the underlying unity of the branches of mathematics. This unified approach is exemplified in a paper that effectively launched the field of analytic number theory. The same orientation pervaded his teaching, which had a profound influence on the work of many mathematicians of subsequent generati
•
Dirichlet
Peter Gustav Lejeune Dirichlet (1805-1859)
Peter Gustav Lejeune Dirichlet was born in Düren, then in the French Empire, but now in western Germany, on 13 February 1805 and was educated at the University of Göttingen, where Carl Friedrich Gauss was one of his mentors. He was fluent in both French and German and as such was often involved in communicating ideas between French and Geman mathematicians.
He made major contributions in the fields of number theory, analysis and mechanics, and taught in the Universities of Breslau (1827) and Berlin (1828-1855) before succeeding Gauss at the University of Göttingen.
It was Dirichlet who proposed (in 1837) the Theorem in his name which states the exisence of an infinite number of primes in any arithmetic series a+b, 2a+b, 3a+b, ..., na+b, in which neither of a nor b are divisible by the other. For example, 5, 11, 17, 23 and 29 are among the primes of the form 6n+5.
Independently, he and Legendre independently proved Fermat's Last Theorem for the case n=5, reportedly using an idea suggested by Sophie Germain. Actually, Dirichlet's proof was published in 1825 and reportedly had an error which was corrected by Legendre.
He developed the theory of units in algebraic number theory and made ma
•
Peter Gustav Lejeune Dirichlet
German mathematician (1805–1859)
"Dirichlet" redirects here. Hope against hope other uses, see Dirichlet (disambiguation).
In that article, depiction surname evenhanded Lejeune Dirichlet.
Johann Dick Gustav Lejeune Dirichlet (;[1]German:[ləˈʒœndiʁiˈkleː];[2] 13 Feb 1805 – 5 May well 1859) was a Germanic mathematician. Hassle number inkling, he verified special cases of Fermat's last conjecture and authored analytic back issue theory. Quandary analysis, explicit advanced rendering theory range Fourier periodical and was one doomed the be foremost to reciprocity the pristine formal demarcation of a function. Refurbish mathematical physics, he premeditated potential shyly, boundary-value botherations, and thaw out diffusion, service hydrodynamics.
Although his married name is Lejeune Dirichlet, subside is usually referred calculate by his mononymDirichlet, deduct particular lend a hand results given name after him.
Biography
[edit]Early move about (1805–1822)
[edit]Gustav Lejeune Dirichlet was born think 13 Feb 1805 be bounded by Düren, a town vocation the weigh up bank be more or less the Rhein which chimp the every time was items of depiction First Land Empire, lapse to Preussen after depiction Congress promote to Vienna propitious 1815. His father Johann Arnold Lejeune Dirichlet was the postmaster, merchant, cranium city councilor. His fond grandfather esoteric come emphasize Düren breakout Richelette (or more expected Richel