Arithmétique

Arithmétique — marelibri

Christophe Clavius Cristoforo ClavioMareMagnum

Opera mathematica V tomis distributa. Ab auctore nunc denuo correcta, et plurimis locis aucta. 1–5

16115 voll. Folio. viii pp. (incl. frontespizio inciso) + 596 + 607–638; + 252 (ultima carta bianca); + 244 + 84 + 184 (ultima carta bianca); + viii + 340 (ultima carta bianca) + 348 + xx (ultima carta bianca); + viii + 552 + xii + 60 + 244; + xii + 624 (ultima carta bianca) + 124 (ultima carta bianca) + 60 + 20 + 24 pp. Numerosi legni e diagrammi nel testo. Legatura in pelle coeva, dorso dorato. Bruniture omogenee della carta. The evidence of the attempts to leave the Aristotelianism for the modern method and an important proof of the Galileian revolution.Clavius's work includes in addition to commentary on arithmetic and algebra one on Euclid, Teodosio and Sacrobosco; his contribution to the study of trigonometry and astronomy; his work on the calendar. Clavius has been for mathematics in Renaissence a real turning point: “Probably the man who did the most of all the German scholars of the 16th century to extend the knowledge of mathematics… was Cristopher Clavius, a Jesuit, who passed the later years of his life in Rome. He was an excellent teacher… His Algebra appeared in 1608 and was one of the best textbooks on the subject that had been written up to that time… (he was) engaged in the reform of the calendar…” (Smith). Opera Mathematica in his third volume contains the Sphaera in his last editorial, to which Clavius worked during 1610 and which was printed in 1611. Shortly thereafter, in February 1612, Clavius was dying after a period of illness. In March 1610 following his comments on the telescope, Galileo published in Sidereus Nuncius his latest astronomical discoveries. These findings, perhaps only for a lucky snap of dates, are among the topics covered in the review of Sphaera, where Clavius shows to recognize the meaning. Clavius and the Jesuits in those years had to go back to seriously consider the observations of Galileo, and had to acquire the telescope also to repeat the observations and then verify their accuracy. Clavius led directly the observations (especially on the phases of Venus and the moons of Jupiter, but also on the lunar spots) along with a group of young Jesuit mathematicians and astronomers, first of all Grienberger, thus removing, towards the end of his life and following a long friendship with Galileo, his skepticism about the Copernican theory. Galileo himself in a letter to Madame Christina of Lorraine in 1615 wrote that “altri matematici, i quali mossi da gli ultimi miei scoprimenti, hanno confessato essere necessario mutare la già concepita costituzione del mondo, non potendo in conto alcuno più sussistere”. Galilei continues that one of them was just Clavius, and the reference is certainly to the pitch of the Opera Mathematica Tomo III, p. 75, where as the result of the list of Galileo's discoveries, the Jesuit ends “Quae cum ita sint, videant Astronomi quo pacto orbes coelestes constituendi sint ut haec phaenomena possint salvari”. It 's an extraordinary moment in the history of cosmology and Church, which has marked the highlight of the heliocentric theory, which no major scientists, mathematicians and astronomers of the Society of Jesus, thought no more be able to object. As D'Elia notes (pp. 14-15): "The confirmation from him on the discoveries of the astronomer from Pisa and on the copernican interpretation he deduced, had definitive influence and perhaps even dominate, to ensure the discoveries the almost universal acceptance in the intellectual world, even if the disappearance of the old professor and that of several of his closest disciples could not prevent the ecclesiastical Authority’s precept of 1616 and the condemnation of 1633 ". Clavius had even got that Galileo was received at the Roman College, and was himself to "explain" to Cardinal Bellarmine scientific discoveries of Galilei. So while the academic and obviously ecclesiastical circles did not leave officially by the Aristotelian position, a scientist of them, for evidence and intellectual honesty, was preparing the way for the acceptance of Galileo's discoveries, and could do so given the authority of his position, achieved mainly thanks to its capital contribution asked by Gregory XIII to reform the Julian calendar, which led to the drafting of the Gregorian Calendar. Christoph Clavius (Bamberg 1538-1612) Jesuit and mathematician, astronomer, he entered the Jesuit College in Rome in '55 and then went to Coimbra, where he studied mathematics and science; back to Rome to study theology, he remained as a professor for fortyfive years. He became a pivotal figure for the general mathematical and scientific renewal that had in the Compagnia di Gesù a driving force, entering into the main controversies of the time, from the squaring of the circle to the comparison between the Ptolemaic and Copernican theories. He was the master, among other things, of Matteo Ricci, who with the help of his students, translated many works of Clavius in China, including the six books of Euclid's Elements (1574), which had several editions and updates; a work who had an enormous influence, providing a compendium of knowledge on geometry. His other important works were the Commentaries on Sphaera di Sacrobosco, a treatise on spheres’ geometry and astronomy, and work on the astrolabe. He determined the subsequent development of algebra. De Backer & Sommervogel, 2, cols. 1222–3 (with details of contents). DSB, 3, pp. 311–2. D’Elia, Pasquale, Galileo in Cina, Roma, Università Gregoriana, 1947. Jardine, Nicholas. "The Forging of Modern Realism: Clavius and Kepler against the Sceptics." Studies in History and Philosophy of Science 10 (1979): 141-73. Lattis, James M. Between Copernicus and Galileo: Christoph Clavius and the Collapse of Ptolemaic Cosmology. Chicago: University of Chicago Press, 1994 Proceedings of the Symposium on Christoph Clavius (1538–1612), July 21, 2005, University of Notre Dame, Edited by Dennis Snow. D. E. Mungello, Curious land. Jesuit accomodation and the Origins of Sinology, 1985, p. 26. Eberhard Knobloch, Christoph Clavius – Ein astronom zwischen Antike und Kopernikus”, in Cvortrage des ersten Symposions des Bamberger Arbeitskreises Antike Naturwissenschaft und ihre Rezeption, 113-40, Wiesbaden, 1990.

Libreria Antonio Pettini · Italie12 000,00 €

JOHN EDWARD YARNELLEMareMagnum

INTRODUZIONE ALLA MATEMATICA DEL TRANSFINITO

1967DISPONIBILITÀ GARANTITA AL 99%; SPEDIZIONE ENTRO 12 ORE DALL'ORDINE. OTTIME CONDIZIONI, MAI SFOGLIATO, LIEVISSIMI SEGNI DEL TEMPO. RARO. Progresso tecnico editoriale è stata una casa editrice milanese, attiva negli anni sessanta e ai primordi dei settanta del Novecento, specializzata nella pubblicazione di monografie scientifiche, in formato paperback, nei settori della matematica, della fisica e della chimica, classificabili nel genere della divulgazione: per il contenuto e il formalismo utilizzato erano infatti destinate a studenti di livello universitario, anche se ambivano ad essere accessibili a un più vasto pubblico di fruitori, proponendosi, almeno nelle intenzioni dell'editore, come «strumento per qualunque lettore interessato che voglia approfondire le proprie conoscenze scolastiche [...] La casa editrice era un'appendice della Aldo Martello editore di Milano. La direzione delle collane matematiche, nei primi anni '60, fu affidata al logico Corrado Mangione. I libri pubblicati, introvabili sul mercato librario dopo la cessazione delle pubblicazioni, sono reperibili unicamente in biblioteca. Descrizione bibliografica Titolo: Introduzione alla matematica del transfinito Titolo originale: An introduction to transfinite mathematics Autore: John Edward Yarnelle Traduzione di: Giampiero Borella Editore: Milano: Progresso tecnico editoriale, 1967 Lunghezza: 83 pagine; 18 cm Collana: Parlando di matematica Soggetti: Scienze, Matematica, Libri Vintage, Rari, Numeri, Filosofia della scienza, Teorie, Infinito, Infiniti, Insiemi, Numeri cardinali, Prodotti, Somme, Intervalli, Operazioni aritmetiche, Continuo, Algebra, Aleph zero, Cardinalità, Thinking with mathematics, Hanover College, Georg Cantor, Paul Cohen, Science, Mathematics, Vintage Books, Rare, Philosophy of Science, Theories, Infinity, Cardinal numbers, Products, Sums, Intervals, Arithmetic operations, Continuous Parole e frasi comuni 1-1 correspondence addition and multiplication aleph answer assertion associative assume binary cardinal cardinality N0 Cartesian product cetera concept conclusion consider the set corre countable sets countably infinite number countably infinite set counting decimal expansion definition dence digit disjoint sets end points equivalent established a 1-1 examine example fact finite cardinal number finite sets follows half line Hanover College Hence indicated infinity larger largest cardinal number look match means nonterminating decimal notation notion number of elements factors rows one-to-one correspondence ordered pairs perhaps positive integers positive rational possible functions proper subset question reader real algebraic numbers real roots recall respect S U T pairs real set with cardinal subscripts Suppose symbol tegers theorem transfinite cardinal numbers transfinite numbers union values words Yarnelle zero

Studio bibliografico Maglione Maria Luisa · Italie39,99 €

FLAVIO G. NUVOLONEMareMagnum

IL NUMERO E LA CROCE: L'HOMO NOVUS DA AURILLAC. PROSPETTIVE DI SCRITTI GERBERTIANI

2012RIMANENZA DI MAGAZZINO PARI AL NUOVO: LIEVISSIMI SEGNI DEL TEMPO ALLA COPERTINA. Un libro che, con la Prefazione di Pierre Riché (Università di Parigi X), introduce il lettore alle tradizioni scientifiche, dottrinali e manoscritte del centrale Medioevo attraverso la storia di un personaggio straordinario, Gerberto d'Aurillac, nelle vicende politiche e culturali del suo tempo. La formazione in Catalogna, l'arco delle amicizie e gli scambi intellettuali raccontano la nascita delle cifre, le tecniche e le predilezioni della simbologia numerologica. Letture ed abitudini monastiche e didattiche si saldano nel profilo di questo sapiente, talvolta ambizioso, talora contraddittorio, che ebbe ampia fama e sollevò grandi gelosie di dotti e potenti nella monarchia e nell'ecclesiologia dei franchi come nell'entourage imperiale dell'età degli ottoni che lo aiutarono a diventare papa Silvestro II. Informazioni bibliografiche Titolo: Il numero e la croce: l'Homo Novus da Aurillac. Prospettive da scritti gerbertiani. Autore: Flavio G. Nuvolone Prefazione di: Pierre Riché Editore: Napoli: Liguori, 2012 Collana: Volume 87 di Nuovo Medioevo. Biblioteca Lunghezza: 672 pagine; 23 cm ISBN: 8820754223 EAN: 9788820754228 Asin: 8820754223 Peso: 2.92 kg Soggetti: Storia medievale, Medioevo, Saggi Storici, Gerberto, Papa Silvestro II, Chiesa cattolica, Aritmetica, Astronomia, Matematica, Ottone III, Magia, Scuola Cattedrale, Cambrai, Abate, Biografie storiche, Abbazia, De geometria, Cesare Baronio, Ravenna, Cultura, Spagna, Catalogna, Echternach, epitaffi e numerologia, Adalberone di Reims, Musica, Cifre Indo-arabe nel Carmen figurato, Impero ottoniano, Bobbio, Ademaro di Chabannes, Ugo Capeto, Arnolfo, Sergio IV, Iscrizione di Elna, Monogrammi, Numerologia, Astrolabio, Abaco, ERMETICITÀ, Medieval History, Middle Ages, Historical Essays, Gerbert, Pope Sylvester II, Catholic Church, Arithmetic, Astronomy, Mathematics, Brass III, Magic, Cathedral School, Cambrai, Abbot, Historical Biographies, Abbey, Culture, Spain, Catalonia, Echternach, Epitaphs and numerology, Adalberone of Reims, Music, Indo-Arabic figures in the figured Carmen, Ottonian Empire, Bobbio, Ademaro of Chabannes, Elna's inscription, Monograms, Numerology, Astrolabe, ERMETICITY

Studio bibliografico Maglione Maria Luisa · Italie34,99 €

Arithmétique

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