Johann peter gustav lejeune dirichlet biography sample

Sign Up. Sign In. This Biography consists of approximately 4 pages of information about the life of Johann Peter Gustav Lejeune Dirichlet. View the Study Pack. One of his failings is forgetting time, he pulls his watch out, finds it half past three, and runs out without even finishing the sentence. In addition to his work in mathematics, Dirichlet made some contributions to mathematical physics.

In particular, he studied potential theory and the mechanics of systems in equilibrium. He died in at age Cite this article Pick a style below, and copy the text for your bibliography. January 9, Retrieved January 09, from Encyclopedia. Then, copy and paste the text into your bibliography or works cited list. Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.

Johann Peter Gustave Lejeune Dirichlet gale. Learn more about citation styles Citation styles Encyclopedia. More From encyclopedia. Johann Nepomunk Franz Aloys Senefelder. Johann Ludwig Krapf. Johann Lucas von Hildebrandt. Johann Kunckel. Johann Juncker. Johann Joachim Becher. These investigations began in with papers which gave methods to evaluate multiple integrals and he applied this to the problem of the gravitational attraction of an ellipsoid on points both inside and outside.

He turned to Laplace 's problem of proving the stability of the solar system and produced an analysis which avoided the problem of using series expansion with quadratic and higher terms disregarded. This work led him to the Dirichlet problem concerning harmonic functions with given boundary conditions. Some work on mechanics later in his career is of quite outstanding importance.

In he studied the problem of a sphere placed in an incompressible fluid, in the course of this investigation becoming the first person to integrate the hydrodynamic equations exactly. Dirichlet is also well known for his papers on conditions for the convergence of trigonometric series and the use of the series to represent arbitrary functions. These series had been used previously by Fourier in solving differential equations.

Dirichlet's work is published in Crelle's Journal in Earlier work by Poisson on the convergence of Fourier series was shown to be non-rigorous by Cauchy. Cauchy 's work itself was shown to be in error by Dirichlet who wrote of Cauchy 's paper:- The author of this work himself admits that his proof is defective for certain functions for which the convergence is, however, incontestable.

Because of this work Dirichlet is considered the founder of the theory of Fourier series. Riemannwho was a student of Dirichlet, wrote in the introduction to his habilitation thesis on Fourier series that it was Dirichlet [ 11 ] In [ 1 ] Dirichlet's character and teaching qualities are summed up as follows:- He was an excellent teacher, always expressing himself with great clarity.

His manner was modest; in his later years he was shy and at times reserved. He seldom spoke at meetings and was reluctant to make public appearances. At age 45 Dirichlet was described by Thomas Hirst as follows:- He is a rather tall, lanky-looking man, with moustache and beard about to turn grey with a somewhat harsh voice and rather deaf.

He was unwashed, with his cup of coffee and cigar. One of his failings is forgetting time, he pulls his watch out, finds it past three, and runs out without even finishing the sentence. Koch, in [ 11 ]sums up Dirichlet's contribution writing that His proofs characteristically started with surprisingly simple observations, followed by extremely sharp analysis of the remaining problem.

With Dirichlet began the golden age of mathematics in Berlin. Back to Prussia, Breslau — [ edit ]. Marriage to Rebecka Mendelssohn [ edit ]. Berlin — [ edit ]. Mathematics research [ edit ]. Number theory [ edit ]. Analysis [ edit ]. Introduction of the modern concept of function [ edit ]. Other fields [ edit ]. Honors [ edit ]. Selected publications [ edit ].

References [ edit ]. Random House Webster's Unabridged Dictionary. ISBN Clay Mathematics Proceedings. Retrieved 25 December Remarkable Mathematicians: From Euler to von Neumann. Cambridge University Press. The shaping of arithmetic: after C. Gauss's Disquisitiones Arithmeticae.

Johann peter gustav lejeune dirichlet biography sample

Cambridge ISBN Larry Mendelssohn: A Life in Music. Oxford ISBN Vita mathematica: historical research and integration with teaching. The Princeton companion to mathematics. Princeton University Press. Number theoretic methods: future trends. A radical approach to real analysis. Proofs and refutations: the logic of mathematical discovery.

Stability and convergence of mechanical systems with unilateral constraints. Historia Mathematica. Elsevier: 39— Proceedings of the Royal Society of London.