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Thus, by the year 1877, or seven years from the time he began, he published the treatise, since famous, entitled
Foundations for the Theory of Functions of Real Variables (Fondamenti per la teoria delle funzioni di variabili reali). Much of what Dini here sets forth concerning such topics as
293:
continuous and discontinuous functions, the derivative and the conditions for its existence, series, definite integrals, the properties of the incremental ratio, etc., was entirely original with himself and has since come to be regarded everywhere as basal in the real variable theory.
641:" (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
311:
Nell'analisi del XX secolo ha avuto innanzitutto ampio sviluppo la teoria delle funzioni di variabili reali (inaugurata nel 1878 da un libro del Dini) in relazione alle operazioni classiche del calcolo.
328:
Dini worked in the field of mathematical analysis during a time when it was begun to be based on rigorous foundations. In addition to his books, he wrote about sixty papers.
544:
In 20th-century analysis, the theory of function of real variables (inaugurated in 1878 by a book written by Dini), has been widely developed in relation to the
696:(English translation of the title) is a short survey on the development of mathematics in its various branches during the first half of the 20th century.
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597:"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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His work on the theory of real functions was also important in the development of the concept of the
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107:
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Riemann's conditions for integrability and their influence on the birth of the concept of measure
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781:(January 1920), "A brief account of the life and work of the late professor Ulisse Dini",
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Serie di
Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale
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516:"Rettore" is the Italian title for the chief executive, i.e. the
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213:, and published several papers. In 1866, he was appointed to the
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30:
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is known in Italy as Dini's theorem, not to be confused with
202:
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Fondamenti per la teorica delle funzioni di variabili reali
175:
Fondamenti per la teorica delle funzioni di variabili reali
166:
51:
189:
Enrico Betti, teacher and academic advisor of Ulisse Dini
197:
in order to become a teacher. One of his professors was
683:
Scientia: rivista internazionale di sintesi scientifica
529:
See the official list of honorary members redacted by
828:
694:Mathematics in the first half of the 20th century
861:
428:Lezioni di analisi infinitesimale.vol. 2 part 2
422:Lezioni di analisi infinitesimale.vol. 2 part 1
225:. In 1871, he succeeded Betti as professor for
678:"La matematica nella prima metĂ del secolo XX"
201:. In 1865, a scholarship enabled him to visit
784:Bulletin of the American Mathematical Society
154:(14 November 1845 – 28 October 1918) was an
180:
796:
416:Lezioni di analisi infinitesimale. vol. 1
905:Academic staff of the University of Pisa
368:
277:
184:
840:MacTutor History of Mathematics Archive
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266:He has been elected honorary member of
169:. He is known for his contributions to
862:
752:
717:Annali di Matematica Pura ed Applicata
672:
530:
504:
320:
753:Fisher, Elizabeth (9 November 2012),
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576:
250:: in 1871 he was voted into the Pisa
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563:
500:
391:
302:
286:
16:Italian mathematician and politician
885:20th-century Italian mathematicians
880:19th-century Italian mathematicians
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254:and in 1880 became a member of the
243:from 1908 until his death in 1918.
237:of the Pisa University, and of the
13:
700:
430:(Pisa, T. Nistri, 1907–1915)
424:(Pisa, T. Nistri, 1907–1915)
418:(Pisa, T. Nistri, 1907–1915)
14:
916:
822:
663:Paul David Gustav du Bois-Reymond
374:Lezioni di analisi infinitesimale
233:. From 1888 until 1890, Dini was
890:20th-century Italian politicians
173:, partly collected in his book "
29:
798:10.1090/S0002-9904-1920-03281-7
282:Monument to Ulisse Dini in Pisa
569:
556:
536:
523:
510:
493:
1:
895:Italian mathematical analysts
855:Mathematics Genealogy Project
756:Full list of Honorary Members
585:
7:
764:London Mathematical Society
440:
268:London Mathematical Society
10:
921:
720:, Serie III (in Italian),
382:implicit function theorem
261:
205:, where he studied under
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133:
123:
116:
108:Implicit function theorem
96:
86:
78:
62:
37:
28:
21:
845:University of St Andrews
667:Carl Gustav Axel Harnack
655:Henry John Stephen Smith
487:
482:Dini–Lipschitz criterion
396:One of his students was
246:He was also active as a
240:Scuola Normale Superiore
195:Scuola Normale Superiore
181:Life and academic career
91:Scuola Normale Superiore
436:(Pisa, T. Nistri, 1878)
412:(Pisa, T. Nistri, 1880)
273:
542:(English translation)
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283:
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56:Grand Duchy of Tuscany
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349:differential geometry
343:and investigated the
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128:Mathematical analysis
831:Robertson, Edmund F.
579:, pp. 157–161).
503:, p. 174) and (
829:O'Connor, John J.;
355:, based on work by
730:10.1007/BF02419715
546:classical calculus
520:, of a university.
507:, pp. 23–24).
378:
299:Walter Burton Ford
284:
256:Italian parliament
217:, where he taught
215:University of Pisa
193:Dini attended the
191:
710:(December 1919),
674:Severi, Francesco
392:Teaching activity
287:Research activity
149:
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118:Scientific career
912:
900:People from Pisa
847:
817:
800:
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761:
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628:, archived from
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514:
508:
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404:Books by U. Dini
364:measure on a set
357:Eugenio Beltrami
345:potential theory
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317:Francesco Severi
306:
135:Doctoral advisor
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48:14 November 1845
47:
45:
33:
19:
18:
920:
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910:
909:
860:
859:
825:
779:Ford, Walter B.
768:
766:
759:
703:
701:Further reading
657:, Ulisse Dini,
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599:
588:
583:
574:
570:
566:, p. 177).
561:
557:
541:
537:
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524:
515:
511:
498:
494:
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457:Dini derivative
447:Dini continuity
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406:
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325:
315:
307:
305:, p. 174).
297:
289:
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211:Joseph Bertrand
207:Charles Hermite
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87:Alma mater
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66:28 October 1918
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823:External links
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791:(4): 173–177,
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708:Bianchi, Luigi
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698:
697:
686:(in Italian),
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647:Gaston Darboux
643:Hermann Hankel
612:(1): 143–169,
608:(in Italian),
593:Letta, Giorgio
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477:Dini's surface
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472:Dini's theorem
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386:Dini's theorem
341:Fourier series
333:Dini criterion
331:He proved the
323:, p. 23).
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103:Dini criterion
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70:(aged 72)
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712:"Ulisse Dini"
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659:Vito Volterra
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651:Giulio Ascoli
648:
644:
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635:on 2014-02-28
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562:According to
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838:
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767:, retrieved
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721:
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681:
638:
630:the original
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252:city council
245:
238:
234:
199:Enrico Betti
192:
174:
151:
150:
140:Enrico Betti
117:
68:(1918-10-28)
875:1918 deaths
870:1845 births
851:Ulisse Dini
577:Letta (1994
505:Severi 1957
462:Dini series
337:convergence
321:Severi 1957
209:as well as
152:Ulisse Dini
79:Nationality
73:Pisa, Italy
23:Ulisse Dini
864:Categories
807:47.0869.01
738:46.0018.08
626:0852.28001
586:References
564:Ford (1920
549:operations
248:politician
165:, born in
163:politician
44:1845-11-14
746:186242653
595:(1994) ,
501:Ford 1920
467:Dini test
303:Ford 1920
724:: V–VI,
676:(1957),
441:See also
353:surfaces
335:for the
314:—
296:—
231:geometry
227:analysis
853:at the
815:1560284
769:14 July
690:: 20–26
618:1327463
235:rettore
223:geodesy
219:algebra
156:Italian
82:Italian
813:
805:
744:
736:
624:
616:
518:rector
376:, 1878
262:Honors
124:Fields
760:(PDF)
742:S2CID
633:(PDF)
610:XVIII
600:(PDF)
499:See (
488:Notes
203:Paris
771:2013
665:and
575:See
380:The
347:and
274:Work
229:and
221:and
167:Pisa
161:and
63:Died
52:Pisa
38:Born
803:JFM
793:doi
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726:doi
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
