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Topic: Enrico Betti

	Enrico Betti Summary
		Enrico Betti, an Italian mathematician, was born near Pistoia, Italy on October 21, 1823.
		Betti was also the first to show that the quintic function—a function in which a variable is raised to the fifth power—can be solved using integrals of elliptic functions.
		Enrico Betti (21 October 1823 - 11 August 1892) was an Italian mathematician, now remembered mostly for his 1871 paper on topology that led to the later naming after him of the Betti numbers.
	www.bookrags.com /Enrico_Betti (785 words)

	Betti
		Betti studied at the University of Pisa, later was to become a professor (1857) and rector there and director of its teacher's college.
		Betti extended and gave proofs relating to the algebraic concepts of Evariste Galois.
		Betti thus made an important contribution to the transition from classical to modern algebra.
	members.tripod.com /sfabel/mathematik/database/Betti.html (243 words)

	Betti biography
		Enrico Betti's father died when he was very young and his mother had to bring him up and educate him on her own.
		Betti studied mathematics and physics at the University of Pisa and while there he was taught by Mossotti.
		Betti graduated with a degree in mathematics in 1846 and, following this, he was appointed as an assistant at the university.
	www-history.mcs.st-and.ac.uk /history/Biographies/Betti.html (1197 words)

	Reference.com/Encyclopedia/Betti number
		In algebraic topology, the Betti number of a topological space is, in intuitive terms, a way of counting the maximum number of cuts that can be made without dividing the space into two pieces.
		The connection of p-torsion and the Betti number for characteristic p, for p a prime number, is given in detail by the universal coefficient theorem (based on Tor functors, but in a simple case).
		The Betti number sequence for a three-torus is 1, 3, 3, 1, 0, 0, 0,...
	www.reference.com /browse/wiki/Betti_number (700 words)

	Antologia critica - Premi
		Il premio Ugo Betti della Città di Camerino è stato assegnato alla poetessa toscana Maura Del Serra e all'attrice Francesca Benedetti interprete di Il vento notturno e La regina degli insorti.
		Il Premio Ugo Betti per la drammaturgia è stato assegnato a Maura Del Serra per Guerra di sogni, pièce sulla crisi di valori della fine di questo secolo di fronte all'egemonia della civiltà dei computer.
		Il premio Betti per l'interpretazione è andato a Francesca Benedetti, sottile e raffinata interprete de Il vento notturno e La regina degli insorti, messi in scena da due maestri della regia come Orazio Costa e Krzysztof Zanussi.
	www.nuovorinascimento.org /delserra/premi.htm (2663 words)

	Foundations of Algebraic Topology
		Enrico Betti (1823-1892) was an Italian mathematician who combined research in pure mathematics with his career as a university professor and administrator and later as a politician.
		In 1871 he published a treatise in which he attempted to identify the topology of figures with a set of numbers which were determined by the homotopy groups of the figure.
		It turned out that the Betti numbers were not adequate to properly characterize the topology of a figure.
	www.sjsu.edu /faculty/watkins/algtop.htm (1283 words)

	Wikinfo \| Betti number (Site not responding. Last check: 2007-10-13)
		Each Betti number is a natural number, or infinity.
		In the case that X is a simplicial complex, assumed built up from a finite number of simplices, the sequence of Betti numbers is 0 from some points onwards, and consists of natural numbers.
		The Betti numbers do not take into account any torsion in the homology groups, but they are very useful basic topological invariants.
	www.wikinfo.org /wiki.php?title=Betti_number (527 words)

	October 21 - Today in Science History (Site not responding. Last check: 2007-10-13)
		Betti extended and gave proofs relating to the algebraic concepts of Galois, published in several works from 1851.
		Betti also wrote a pioneering memoir on topology, the study of surfaces and space.
		Betti did important work in theoretical physics, in particular in potential theory and elasticity.`
	www.todayinsci.com /10/10_21.htm (2327 words)

	Betti number
		The Betti number is the maximum number of cuts that can be made without dividing the surface into two separate pieces.
		The Betti number of a square is 0 because it is impossible to crosscut without leaving two pieces.
		A torus, or donut shape, has a Betti number of 2.
	www.daviddarling.info /encyclopedia/B/Betti_number.html (218 words)

	Casa Editrice Hevelius - ENRICO BETTI: TEORIA DELL'ELASTICITA'
		Casa Editrice Hevelius - ENRICO BETTI: TEORIA DELL'ELASTICITA'
		Il testo Teoria della elasticità pubblicato da Enrico Betti nel biennio 1872–73, marca una tappa importante nello sviluppo della teoria dell’elasticità e della scienza delle costruzioni; per questo motivo abbiamo ritenuto utile ripresentarlo in un’edizione critica, anche perché non è semplice da reperire.
		La parte antologica, oltre al testo di Betti, riporta anche la riscrittura di alcune lezioni del corso tenuto da Betti a Pisa, nell’anno accademico 1866-1867.
	www.hevelius.it /betti.html (205 words)

	Dini (Site not responding. Last check: 2007-10-13)
		It was certainly not a wealthy family but Dini's parents were able to educate him in his native city of Pisa.
		Betti's chair of analysis and higher geometry in 1871.
		This was not due to Betti's retiral, but rather because Betti's interests had moved more towards mathematical physics.
	www.educ.fc.ul.pt /icm/icm2003/icm14/Dini.htm (944 words)

	Betti number - Wikipedia, the free encyclopedia
		If the homology groups are torsion-free, the Betti numbers are independent of F.
		The Betti number sequence for a circle is 1, 1, 0, 0, 0,...;
		This requires also the use of some of the results of Hodge theory, about the Hodge Laplacian.
	en.wikipedia.org /wiki/Betti_number (698 words)

	Ricerca Italiana - PRIN - Università degli Studi di FIRENZE
		In particular, Ulivi will continue her exploration of the State Archives in Florence, looking for documents concerning the abacus schools and the masters.Renaissance mathematics: We shall continue the electronic edition of the works of Francesco Maurolico, within a project involving an international team of researches.
		Enrico Giusti is responsible for the edition of Maurolico's Archimedes.
		Among the themes in project, we mention researches on the biography and the scientific achievements of Gabriele Manfredi, as well as the correspondence between the mathematicians of Bologna and their contemporaries.
	www.ricercaitaliana.it /prin/unita_op_en-2004010322_001.htm (506 words)

	Betti (Site not responding. Last check: 2007-10-13)
		However, we should not give the impression that Betti was the first to clarify all the difficulties in
		Galois' theorems rigorously, the fact is that Betti's work contains substantial obscurities and errors.
		Poincaré who was inspired to study topology through Betti's work on the subject.
	www.educ.fc.ul.pt /icm/icm2003/icm14/Betti.htm (1030 words)

	[No title]
		He attended the Scuola Normale Superiore in Pisa which was a teacher's college, under the leadership of Enrico Betti, attached to the University of Pisa.
		There was widespread unrest in Italy due to dissatisfaction with the government and it was far from clear that the newly unified country would not split apart again.
		Dini progressed quickly in his career at the University of Pisa, being appointed to Betti's chair of analysis and higher geometry in 1871.
	digilander.libero.it /liceodini/ulisse.html (979 words)

	Enrico Betti Berutto (Site not responding. Last check: 2007-10-13)
		Francesco, giullare di Dio (1950) (second assistant camera) (as Enrico Betti)
		Strangolatore di Vienna, Lo (1971) (as Enrico Betti)
		Discuss this name with other users on IMDb message board for Enrico Betti Berutto
	imdb.com /name/nm0079331 (249 words)

	Enrico Betti - Wikipedia
		Enrico Betti studierte an der Universität Pisa Mathematik und Physik.
		Betti begeisterte sich, nicht zuletzt durch den Einfluss seines Mentors Ottaviano Fabrizio Mossotti (1791-1863), neben der akademischen Arbeit auch für Italiens Unabhängigkeitskampf gegen Österreich.
		Er schloss sich Mossottis Bataillon an und kämpfte an dessen Seite in den Schlachten von Curtatone und Montanara.
	de.wikipedia.org /wiki/Enrico_Betti (150 words)

	Dipartimento di Matematica - Home Page
		It was the first Italian school of mathematics and has long remained the true source of mathematical research in Italy.
		Its birth was favored by the presence of the Scuola Normale Superiore and also by the close scientific contacts which Bernhard Riemann, during his long stays in Pisa (between 1863 and 1865), established with Enrico Betti and Eugenio Beltrami.
		It began with his bringing to Pisa Federico Cafiero, a student of Renato Cacciopoli, and reached its peak in the 1960's with the arrival of Aldo Andreotti, Jacopo Barsotti, Enrico Bombieri, Sergio Campanato, Gianfranco Capriz, Ennio De Giorgi, Giovanni Prodi, Guido Stampacchia, and Edoardo Vesentini.
	www.dm.unipi.it /www2_en/modules.php?name=dipmat (330 words)

	[No title]
		Jordan proved that the number of circuits in a complete independent set is a topological invariant of the surface.
		In 1871, Enrico Betti (1823-92) published a memoir on topology which included what are now labeled "Betti numbers", so named by Henri Poincaré (x-y), who was inspired to work in topology by Betti's work.
		For each dimension of possible simplexes in a complex, P. defined the number of independent cycles of that dimension as the Betti number of that dimension.
	members.fortunecity.com /jonhays/tophistory.htm (1270 words)

	Names in mechanics.
		Please, feel free to explore the life and work of people who will never be forgotten.
		Aristotelles, Archimedes, Bernoulli, Betti, Cauchy, Clapeyron, Coulomb, Cremona, d'Alembert, Descartes, Duhamel, Euler, Fourier, Gallileo, Gauss, Hooke, Kepler, Laplace, Leibniz, Maxwell, Navier, Newton, Pascal, Poisson, Pythagoras, Saint-Venant
		Click here to learn more about Enrico Betti.
	www.ncsu.edu /ncsu/ncsu/forest_resources/wps441001/names.html (6006 words)

	enrico bertolazzi - ResearchIndex document query (Site not responding. Last check: 2007-10-13)
		In honor of Enrico Betti, Poincar'e defined the nth Betti number of
		Determinants in the Study of Thue's Method and Curves with..
		Gabriella Olmo, Cristiano Cucco, Marco Grangetto, Enrico Magli
	citeseer.ist.psu.edu /cis?q=Enrico+Bertolazzi (478 words)

	The Mathematics Genealogy Project - Enrico Betti
		Click here to see the students listed in chronological order.
		According to our current on-line database, Enrico Betti has 5 students and 545 descendants.
		If you have additional information or corrections regarding this mathematician, please use the update form.
	www.genealogy.ams.org /html/id.phtml?id=26323 (78 words)

	Centro di Ricerca Matematica Ennio De Giorgi
		Indeed, the names of Leonardo Pisano, called Fibonacci, and Galileo Galilei link it to the very origins of modern science.
		In the years following the foundation of the Italian state, there emerged in Pisa a school of mathematics that reached the highest level of achievement with exponents such as Enrico Betti, Ulisse Dini, Luigi Bianchi, Enrico Bertini, Eugenio Elia Levi and Leonida Tonelli.
		With these beginnings the University and the Scuola Normale Superiore have progressively established Pisa as a true crossroad of international mathematical research.
	www.crm.sns.it /national_context.html (379 words)

	Betti Andrews - Moviefone
		Betti Andrews - Filmography - Movies - New York Times
		Pat Russell - Pat Stuart Tony Craig - John Stevens Frank McCarthy - Frank Mesina Betti Andrews - Mrs.Stuart...
		Betti Andrews - Filmography, Biography, News, Photos, Birth date, Relationships, Betti Andrews Film Clips, and Fun Facts on Moviefone.
	movies.aol.com /celebrity/betti-andrews/1703/main (75 words)

	The Genius of Verdi, the Statesmanship of Cavour
		In 1858 Brioschi, together with physicists Enrico Betti from Pisa and Felice Casorati from Pavia, travelled to Göttingen, Germany, to meet the famous mathematician Bernhard Riemann, who had freed science from the formal limitations of Euclidean geometry.
		In 1883, thanks to the impulse given by Politecnico director Giuseppe Colomo, Italy was the first European nation with an hydroelectrical power station.
		Two years later, Galileo Ferraris, a student of Betti, invented the electric engine based on a rotating field.
	www.schillerinstitute.org /music/verdi_eir_ccc.html (9408 words)

	Amazon.com: "Jules Henri": Key Phrase page (Site not responding. Last check: 2007-10-13)
		See all pages with references to Jules Henri.
		BETTI Enrico Other pioneers in topology were Bernhard Riemann, Enrico (1823 - 1892) Betti, Camille Jordan, and Jules Henri Poincar - "the last JORDAN Camille mathematical universalist", who in Analysis situs (1895) (1838-1922) launched the foundations for the development...
		Key Phrases in this book: Leonhard Euler, Gottfried Wilhelm, Old English, Joseph Louis, Carl Friedrich Gauss, Historical Notes, positional numeration system, identical truth values, twin cube, peripheral angle, tetrahedral numbers, basic integration formulas (See more)
	www.amazon.com /phrase/Jules-Henri (461 words)

	AUGURI
		07/04: Clara Agnelli, Ettore Albertoni, Massimo Caprara, Maria Luisa Cassanmagnago, Enrico Cerrai, Francesco Ferrarotti, Francis Ford Coppola, Russell Crowe, Marco Delvecchio, Gianluca Grignani, Ezio Greggio, Kledi Kadiu, Roberta Lanfranchi, Marco Luci, Roberta Maltagliati, Edoardo Mangiarotti, Gian Paolo Patta, Giancarlo Perna, Lorenzo Piccioni, Marco Piovanelli, Daniela Santanchè, Alfonso Signorini, Fiorenza Vallino, Andrea Zagami.
		11/04: Barbara Alberti, Aleandro Baldi, Emilio Colombo, Enrico Deaglio, Vincent Gallo, Marcello Lippi, Carlo Pellegatti, Jesse Stone.
		18/04: Roberto Calderoli, Benedetta Corbi, Arturo Di Napoli, Luigi Grillo, Oreste Lionello, Massimiliano Pani, Enrico Preziosi, Eric Roberts, Claudio Sabelli Fioretti, Natasha Stefanenko, Ira Von-Furstenberg, Vincenzo Zeno Zencovich, James Woods.
	www.lamescolanza.com /AUGURI.htm (910 words)

	THE MAD BUTCHER (MEAT IS MEAT)
		Starring Victor Buono, Brad Harris, Karin Field, Franca Polcelli, Carl Stearns / Music by Alessandro Alessandroni / Cinematography by Enrico Betti
		Though not your traditional leading man, the rotund and compellingly odd Victor Buono had earned enough of a reputation for his grotesque turns as the mama's boy songwriter in What Ever Happened to Baby Jane?
		The last five minutes will leave most viewers, particularly the devout, numb with disbelief.
	www.mondo-digital.com /madbutcher.html (580 words)

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