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285:) in 1892. De la Vallée Poussin was awarded with Gilbert's chair when Gilbert died. While he was a professor there, de la Vallée Poussin carried out research in mathematical analysis and the theory of numbers, and in 1905 was awarded the Decennial Prize for Pure Mathematics 1894–1903. He was awarded this prize a second time in 1924 for his work during 1914–23.
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The second edition (1909-1912) is remarkable for its introduction of the
Lebesgue integral. It was in 1912, "the only textbook on analysis containing both Lebesgue integral and its application to Fourier series, and a general theory of approximation of functions by polynomials".
326:
After the war was over, de la Vallée
Poussin returned to Belgium, The International Union of Mathematicians was created, and he was invited to become its President. Between 1918 and 1925, de la Vallée Poussin traveled extensively, lecturing in
339:. and then in the United States where he gave lectures at the Universities of Chicago, California, Pennsylvania, and Brown University, Yale University, Princeton University, Columbia University, and the Rice Institute of Houston.
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for 1916. De la Vallée
Poussin was given the titles of Doctor Honoris Causa of the Universities of Paris, Toronto, Strasbourg, and Oslo, an Associate of the Institute of France, and a Member of the
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The further editions were much more conservative, returning essentially to the first edition. Starting from the eighth edition, Fernand
Simonart took over the revision and the publication of the
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1364:, Annales de la Societe Scientifique de Bruxelles vol. 20 B, 1896, pp. 183–256, 281–362, 363–397, vol. 21 B, pp. 351–368 (prime number theorem)
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1483:(19 September 2014). "The Cours d'Analyse Infinitésimale of Charles-Jean de La Vallée Poussin: From Innovation to Tradition".
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The textbooks of his mathematical analysis course have been a reference for a long time and had some international influence.
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In 1961, de la Vallée
Poussin fractured his shoulder, and this accident and its complications led to his death in
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292:, and he became a Member of the Academy in 1908. In 1923, he became the President of the Division of Sciences.
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311:. He accepted this invitation. In 1918, de la Vallée Poussin returned to Europe to accept professorships in
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In August 1914, de la Vallée
Poussin escaped from Leuven at the time of its destruction by the invading
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Although his first mathematical interests were in analysis, he became suddenly famous as he proved the
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1313:, 2 vols., 1903, 1906 (7th edition 1938), Reprint of the 2nd edition 1912, 1914 by Jacques Gabay,
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Sur la fonction Zeta de
Riemann et le nombre des nombres premiers inferieur a une limite donnée
1307:, vol. 1 (Biography and number theory), 2000 (eds. Mawhin, Butzer, Vetro), vols. 2 to 4 planned
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De la Vallée
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Finally, the de la Vallée
Poussin sums can be evaluated in terms of the so-called
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1370:, Mémoires couronnés de l Academie de Belgique, vol.59, 1899, pp. 1–74
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661:{\displaystyle S_{n}={\frac {1}{2}}c_{0}(f)+\sum _{i=1}^{n}c_{i}(f)T_{i}}
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In 1898, de la Vallée
Poussin was appointed as the correspondent to the
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The third edition (1914) introduced the now classical definition of
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Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences
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and mathematics, and in 1891, at the age of just 25, he became an
262:. De la Vallée Poussin was encouraged to study for a doctorate in
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542:{\displaystyle V_{n}={\frac {S_{n}+S_{n+1}+\cdots +S_{2n-1}}{n}}}
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under his uncle Louis-Philippe Gilbert, after he had earned his
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Charles-Jean Étienne Gustave Nicolas, baron de la Vallée Poussin
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Charles-Jean Étienne Gustave Nicolas, baron de la Vallée Poussin
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Le potentiel logarithmique, balayage et representation conforme
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Leçons sur l'approximation des fonctions d'une variable réelle
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Leçons sur l'approximation des fonctions d'une variable réelle
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Integrals de Lebesgue, Fonctions d'Ensemble, Classes de Baire
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Integrals de Lebesgue, fonctions d´ensemble, classes de Baire
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1281:. The second volume of this third edition was burnt in the
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Recherches analytiques de la théorie des nombres premiers
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Foreign associates of the National Academy of Sciences
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Harvard University Department of Mathematics faculty
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Jahresbericht der Deutschen Mathematiker-Vereinigung
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209:[ʃaʁlʒɑ̃etjɛnɡystavnikɔlabaʁɔ̃dəlavalepusɛ̃]
226:The King of Belgium ennobled him with the title of
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1345:, 2nd edition 1934, Reprint by Jacques Gabay,
798:{\displaystyle (T_{0}/2,T_{1},\ldots ,T_{n}).}
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935:{\displaystyle F(\theta )=f(\cos \theta ).\,}
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1047:{\displaystyle V_{n}=2F_{2n-1}-F_{n-1}.\,}
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118:Catholic University of Leuven (1834–1968)
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1721:MacTutor History of Mathematics Archive
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1333:Cours d'analyse infinitésimale, Tome II
212:; 14 August 1866 – 2 March 1962) was a
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1568:Cours d'Analyse Infinitésimale, Tome I
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1244:He also published a counterexample to
1452:"Charles-Joseph de la Vallée Poussin"
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1757:20th-century Belgian mathematicians
1752:19th-century Belgian mathematicians
1716:"Charles Jean de la Vallée Poussin"
1378:Paris, Gauthier-Villars, 1919, 1952
219:. He is best known for proving the
27:Belgian mathematician (1866 - 1962)
24:
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275:Charles Louis de la Vallée Poussin
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1694:Charles Jean de la Vallée Poussin
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1570:, by Ch. J. de la Vallée Poussin"
1532:, by Ch.-J. de la Vallée Poussin"
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401:Afterwards, he found interest in
303:, and he was invited to teach at
290:Royal Belgian Academy of Sciences
238:De la Vallée Poussin was born in
39:Charles Jean de la Vallée Poussin
18:Charles Jean de la Vallée-Poussin
1676:10.1090/S0002-9904-1922-03513-6
1633:10.1090/s0002-9904-1918-03091-7
1590:10.1090/s0002-9904-1925-04009-4
1551:10.1090/s0002-9904-1915-02725-4
374:, was the first to propose the
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1698:Mathematics Genealogy Project
1656:, by C. de la Vallée Poussin"
1613:, by C. de la Vallée Poussin"
1530:Cours d'Analyse Infinitésmale
354:King Albert I of the Belgians
252:Catholic University of Leuven
394:independently of his coeval
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1702:Biographie Universelle, by
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1126:{\displaystyle f*V_{n}=f\,}
1083:{\displaystyle V_{n}\leq 3}
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704:{\displaystyle c_{i}(f)\,}
270:in mathematical analysis.
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378:of the formation of the
1450:Burkill, J. C. (1964).
1057:The kernel is bounded (
714:are the vectors of the
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1792:Scientists from Leuven
1564:Porter, M. B. (1925).
1526:Porter, M. B. (1915).
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1663:Bull. Amer. Math. Soc
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1539:Bull. Amer. Math. Soc
1299:Selected publications
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969:{\displaystyle F_{n}}
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855:{\displaystyle 2\pi }
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1712:Robertson, Edmund F.
1222:Later, he worked on
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392:prime number theorem
221:prime number theorem
139:Prime number theorem
1710:O'Connor, John J.;
1358:, Paris, Löwen 1949
407:continuous function
361:Watermael-Boitsfort
342:He was awarded the
268:assistant professor
131:Poussin summability
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305:Harvard University
1605:Carmichael, R. D.
1399:La Vallée-Poussin
1275:differentiability
878:{\displaystyle F}
864:periodic function
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365:Brussels, Belgium
317:Collège de France
256:bachelor's degree
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16:(Redirected from
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309:United States
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59:
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1669:(1): 59–61.
1666:
1662:
1653:
1642:
1623:
1619:
1610:
1599:
1580:
1576:
1567:
1559:
1545:(2): 77–85.
1542:
1538:
1529:
1521:
1488:
1484:
1481:Mawhin, Jean
1455:
1445:
1431:
1422:
1413:
1374:
1367:
1361:
1355:
1341:
1332:
1325:
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1272:
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1265:
1260:
1246:Alfred Kempe
1243:
1221:
1056:
944:
807:
726:(defined as
713:
670:
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389:
369:
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344:
341:
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321:the Sorbonne
294:
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200:
199:
175:Institutions
158:
91:(1962-03-02)
89:2 March 1962
29:
1747:1962 deaths
1742:1866 births
1458:: 165–175.
1285:during the
450:, the sums
301:World War I
297:German Army
260:engineering
248:mathematics
169:Mathematics
105:Citizenship
1736:Categories
1279:Otto Stolz
949:sums (say
885:such that
835:being the
716:dual basis
333:Strasbourg
279:mineralogy
67:1866-08-14
1652:"Review:
1609:"Review:
1583:(1): 83.
1566:"Review:
1528:"Review:
1513:119983767
1505:0012-0456
1167:−
1157:∑
1104:∗
1075:≤
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920:
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850:π
839:sum of a
774:…
610:∑
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426:−
398:in 1896.
356:in 1928.
234:Biography
1650:(1922).
1607:(1918).
1383:See also
414:interval
380:Universe
1696:at the
1277:due to
837:Fourier
363:, near
319:and at
315:at the
307:in the
283:geology
264:physics
250:at the
244:Belgium
214:Belgian
109:Belgium
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1252:. The
553:where
337:Madrid
335:, and
329:Geneva
240:Leuven
165:Fields
152:(1916)
145:Awards
75:Leuven
1704:Didot
1659:(PDF)
1616:(PDF)
1573:(PDF)
1535:(PDF)
1509:S2CID
1405:Notes
1133:, if
947:Fejér
720:basis
313:Paris
228:baron
36:Baron
1501:ISSN
1347:ISBN
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1226:and
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281:and
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471:=
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