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in Berlin. He received his doctorate in 1862 at
Leipzig University. Receiving his teaching qualifications a year after, he was promoted to an associate professor at Leipzig University in 1867. At the same year, he received his full professorship in
597:" (English translation of title) is an article on the history of measure theory, analyzing deeply and comprehensively every early contribution to the field, starting from Riemann's work and going to the works of Hermann Hankel,
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by proving the following theorem: "The only multiplication in R which may be considered as an extension of the usual multiplication in R by
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in two publications. This was the first of many references later made to
Grassmann's early insights on the nature of
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to the left and the right is that which conforms to the rule of signs." Furthermore, Hankel draws attention to the
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555:"Le condizioni di Riemann per l'integrabilitĂ e il loro influsso sulla nascita del concetto di misura"
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Rendiconti della
Accademia Nazionale delle Scienze Detta dei XL, Memorie di Matematica e Applicazioni
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is particularly memorable. For example, Fischbein notes that he solved the problem of products of
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Riemann's conditions for integrability and their influence on the birth of the concept of measure
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290:. Following the publication of an award winning article, he proceeded to study under
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Untersuchungen ĂĽber die unendlich oft oscillirenden und unstetigen
Functionen
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Vorlesungen ĂĽber die complexen zahlen und ihre functionen ...: in zwei teilen
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Untersuchungen ĂĽber die unendlich oft oscillirenden und unstetigen functionen
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Die Euler'schen
Integrale bei unbeschränkter Variabilität des Argumentes
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Die
Elemente der projectivischen Geometrie in synthetischer Behandlung
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Intuition in
Science and Mathematics: An Educational Approach
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Die
Entwickelung der Mathematik in den letzten Jahrhunderten
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Zur
Geschichte der Mathematik in Alterthum und Mittelalter
266:, was a physicist. Hankel studied at Nicolai Gymnasium in
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during his career, he is best known for introducing the
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Academic staff of the University of Erlangen-Nuremberg
326:. His works on the theory of functions include 1870's
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230:(14 February 1839 – 29 August 1873) was a German
282:and his father. In 1860, he started studying at
691:This article about a German mathematician is a
344:, which were later known as Hankel functions.
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807:Academic staff of the University of TĂĽbingen
812:Mathematicians from the Kingdom of Prussia
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659:MacTutor History of Mathematics Archive
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254:Hankel was born on 14 February 1839 in
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330:and his 1871 article “Grenze” for the
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797:Academic staff of Leipzig University
787:Humboldt University of Berlin alumni
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361:respecting the law of distributivity
320:Theorie der Complexen Zahlensysteme
311:, near TĂĽbingen. He was married to
777:People from the Province of Saxony
752:19th-century German mathematicians
695:. You can help Knowledge (XXG) by
342:Bessel functions of the third kind
340:has highlighted the importance of
14:
619:Paul David Gustav du Bois-Reymond
522:, Mathematics Education Library,
303:and spent his last four years in
757:German historians of mathematics
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301:University of Erlangen–Nuremberg
192:University of Erlangen–Nuremberg
307:. He died on 29 August 1873 in
274:in 1857, where he studied with
782:University of Göttingen alumni
1:
674:Mathematics Genealogy Project
762:German mathematical analysts
833:
817:German mathematician stubs
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528:Kluwer Academic Publishers
516:Fischbein, Efraim (1987),
110:Generalized Stokes theorem
792:Leipzig University alumni
772:People from Halle (Saale)
332:Ersch-Gruber Encyklopädie
221:
153:
28:
664:University of St Andrews
623:Carl Gustav Axel Harnack
607:Henry John Stephen Smith
553:Letta, Giorgio (1994) ,
398:Hankel, Hermann (1867).
347:His 1867 exposition on
284:University of Göttingen
280:August Ferdinand Möbius
264:Wilhelm Gottlieb Hankel
435:Hermann Hankel (1875)
426:Hermann Hankel (1874)
417:Hermann Hankel (1870)
408:Hermann Hankel (1869)
388:Hermann Hankel (1863)
318:In 1867, he published
305:University of TĂĽbingen
197:University of TĂĽbingen
383:Selected publications
371:had developed in his
337:Mathematische Annalen
236:mathematical analysis
168:Mathematical analysis
135:Hankel singular value
650:Robertson, Edmund F.
644:at Wikimedia Commons
530:, pp. xiv+225,
16:German mathematician
648:O'Connor, John J.;
441:, Teubner, Leipzig.
432:, Teubner, Leipzig.
234:. Having worked on
462:Crowe, Michael J.
404:(in German). Voss.
272:Leipzig University
188:Leipzig University
97:Leipzig University
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703:
640:Media related to
464:"Hankel, Hermann"
423:, Fues, TĂĽbingen.
414:, Fues, TĂĽbingen.
369:Hermann Grassmann
296:Leopold Kronecker
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173:Special functions
155:Scientific career
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767:Complex analysts
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654:"Hermann Hankel"
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584:, archived from
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472:Encyclopedia.com
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394:, Voss, Leipzig.
373:Extension Theory
357:negative numbers
324:complex analysis
322:, a treatise on
292:Karl Weierstrass
288:Bernhard Riemann
270:before entering
240:Hankel transform
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130:Hankel transform
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48:14 February 1839
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630:External links
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599:Gaston Darboux
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564:(in Italian),
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262:. His father,
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103:Known for
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70:(aged 34)
66:29 August 1873
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591:on 2014-02-28
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125:Hankel matrix
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697:expanding it
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586:the original
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500:Hankel (1867
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313:Marie Hankel
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227:
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211:
182:Institutions
154:
148:Marie Hankel
68:(1873-08-29)
747:1873 deaths
742:1839 births
611:Ulisse Dini
353:quaternions
85:Nationality
736:Categories
582:0852.28001
510:References
309:Schramberg
74:Schramberg
44:1839-02-14
524:Dordercht
250:Biography
242:and the
672:at the
574:1327463
546:0921434
268:Leipzig
260:Germany
56:Germany
580:
572:
544:
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216:(1861)
214:
207:Thesis
161:Fields
144:Spouse
88:German
589:(PDF)
566:XVIII
558:(PDF)
485:See (
467:(PDF)
446:Notes
377:space
367:that
256:Halle
52:Halle
693:stub
621:and
532:ISBN
498:See
351:and
294:and
63:Died
38:Born
593:. "
578:Zbl
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662:,
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570:MR
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549:.
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46:)
42:(
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
