La Storia Della Matematica Nella Universit Di Bologna
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La Storia Della Matematica Nella Universit Di Bologna
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Author : Ettore Bortolotti
language : it
Publisher:
Release Date : 1947
La Storia Della Matematica Nella Universit Di Bologna written by Ettore Bortolotti and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1947 with Mathematics categories.
La Storia Della Matematica Nella Universit Di Bologna
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Author : Ettore Bortolotti
language : it
Publisher: Youcanprint
Release Date : 2019-05-08
La Storia Della Matematica Nella Universit Di Bologna written by Ettore Bortolotti and has been published by Youcanprint this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-08 with Mathematics categories.
INDICE § I. Il rinascimento delle Arti come preludio alla rinascita della Scienza. § II. La cattedra di Astrologia. § III. Cenni biografici di alcuni fra i più reputati astrologi del nostro Studio. § IV. La cattedra «Ad Arithmeticam». § V. Luca Pacioli. § I. La risoluzione algebrica delle equazioni cubiche. 1. – PRODROMI DELLA REGOLA D’ALGEBRA. 2. – Scipione dal Ferro. 3. – NECESSARI COMPLEMENTI ALLE FORMULE DEL DAL FERRO. 4. – CONTRIBUTI DEL TARTAGLIA ALLA RISOLUZIONE DI EQUAZIONI CUBICHE29. 5. – LA RISOLVENTE QUADRATICA DELLA EQUAZIONE CUBICA. 6 – IN QUAL MODO CARDANO VENNE IN POSSESSO DELLA FORMULA DI SCIPIONE DAL FERRO33. § II. Il caso irreducibile e la pubblicazione della Ars Magna. 1. – IL CASO IRREDUCIBILE. 2. – UN PRIMO ACCENNO AI NUMERI IMMAGINARI E LE TRASFORMAZIONI RAZIONALI DELLE EQUAZIONI ALGEBRICHE. 3. – I CARTELLI DI MATEMATICA DISFIDA.38 4. – LA RISOLUZIONE DELLE EQUAZIONI DEL QUARTO GRADO. § III. L’Algebra di Raffaele Bombelli. 1. – LA VITA. 2. – L’OPERA. 3 – I LIBRI GEOMETRICI DELL’ALGEBRA DI R. BOMBELLI. § IV. Cenni biografici – Tartaglia, Cardano, Ferrari53. 1. – Nicolò Tartaglia. 2. – GEROLAMO CARDANO. 3. – LUDOVICO FERRARI. § I. I primi algoritmi infiniti. 1. – LE VARIE CORRENTI DEL PENSIERO SCIENTIFICO NEL RINASCIMENTO. 2. –UMANISTI. 3 – SVILUPPI IN SERIE DI IRRAZIONALI QUADRATICI. LE FRAZIONI CONTINUE DI PIETRO CATALDI. 4. – LA CONTINUITÀ NEL CAMPO NUMERICO. 5. – L’INFINITO ATTUALE E L’INFINITESIMO ATTUALE, NELLA MATEMATICA. 6. – KEPLERO E LA STEREOMETRIA DOLIORUM. 7. – SOMMA DI SERIE INFINITE. E. TORRICELLI. 8. – LE QUADRATURE ARITMETICHE DI Pietro Mengoli. § II. Primordi del Calcolo infinitesimale. 1. – LA GEOMETRIA DEGLI INDIVISIBILI DI BONAVENTURA CAVALIERI. 2. – LE ESERCITAZIONI GEOMETRICHE. § III. L’opera geometrica di Evangelista Torricelli. § IV. La Geometria speciosa e le integrazioni definite di P. Mengoli. Astronomi, idraulici, ecclettici del secolo XVII. 1. PIETRO MENGOLI (Bologna 1625-1686). Laureato in filosofia nel 1650, in leggi nel 1653. Dal 1660 parroco di S. Maria Maddalena in Bologna; poco dobbiamo aggiungere a ciò che di lui fu detto nel § I. 2. – STEFANO DEGLI ANGELI (Venezia 1623-Padova 1697). - Scolaro, seguace, confratello nell’ordine dei Gesuiti121, di Cavalieri. Dal 1662 professore nella Università di Padova. Si attenne strettamente alle idee, al metodo ed alla forma espositiva del suo maestro, nelle molte, interessanti opere da lui composte, nelle quali riprende le ricerche di Cavalieri e di Torricelli sulle Linee non più nuove ai tempi di lui. 3. GLI ASTRONOMI. 4. GLI IDRAULICI. 5. – GLI ECLETTICI. § I. L’Istituto marsigliano e l’Accademia. 2. – SINTOMI DI DECADENZA. 3. – LE ACCADEMIE SCIENTIFICHE. 4. – L. F. MARSIGLI. 5. – L’ISTITUTO MARSIGLIANO. 6. – OPPOSIZIONI DEGLI SCOLASTICI. 7. – MUTUI RAPPORTI FRA LO STUDIO E L’ISTITUTO. § II. L’opera geometrica di Gabriele Manfredi. 1. – IL LIBRO: DE CONSTRUCTIONE AEQUATIONUM DIFFERENTIALIUM. 2. – COORDINATE CURVILINEE. 3. – LE TRAIETTORIE. 4. – LE EQUAZIONI DIFFERENZIALI OMOGENEE. § III. L’astronomia in Bologna nel secolo XVIII I segretari dell’Istituto – Cenni biografici. 2. – I RIFORMATORI DELLE LETTERATURE ITALIANE. 13. – CENNI BIOGRAFICI DI ALCUNI ALTRI MATEMATICI BOLOGNESI DI QUEL PERIODO. § I. L’Accademia delle scienze di Bologna durante l’epoca napoleonica e la restaurazione pontificia. 3. ISTITUTO NAZIONALE CISALPINO. 4. ISTITUTO NAZIONALE ITALIANO. 5. – LA SEZIONE BOLOGNESE DELL’ISTITUTO ITALIANO DI SCIENZE E LETTERE, E L’ATENEO. 6. LA RIFORMA DELLA ACCADEMIA BENEDETTINA. 8. I VOLUMI DEGLI ATTI DELL’ISTITUTO NAZIONALE. § II. Le cattedre universitarie. § III. Cenni biografici di alcuni fra i matematici della Scuola di Bologna che ebbero maggior nome in questo Periodo. § I. Gli instauratori della nuova scienza. § II. La costituzione della scuola matematica.
Di Alcuni Materiali Per La Storia Della Facolt Matematica Nell Antica Universit Di Bologna
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Author : Silvestro Gherardi
language : it
Publisher:
Release Date : 1846
Di Alcuni Materiali Per La Storia Della Facolt Matematica Nell Antica Universit Di Bologna written by Silvestro Gherardi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1846 with categories.
The Secret Formula
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Author : Fabio Toscano
language : en
Publisher: Princeton University Press
Release Date : 2024-12-03
The Secret Formula written by Fabio Toscano and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-03 with History categories.
The legendary Renaissance math duel that ushered in the modern age of algebra The Secret Formula tells the story of two Renaissance mathematicians whose jealousies, intrigues, and contentious debates led to the discovery of a formula for the solution of the cubic equation. Niccolò Tartaglia was a talented and ambitious teacher who possessed a secret formula—the key to unlocking a seemingly unsolvable, two-thousand-year-old mathematical problem. He wrote it down in the form of a poem to prevent other mathematicians from stealing it. Gerolamo Cardano was a physician, gifted scholar, and notorious gambler who would not hesitate to use flattery and even trickery to learn Tartaglia's secret. Set against the backdrop of sixteenth-century Italy, The Secret Formula provides new and compelling insights into the peculiarities of Renaissance mathematics while bringing a turbulent and culturally vibrant age to life. It was an era when mathematicians challenged each other in intellectual duels held outdoors before enthusiastic crowds. Success not only enhanced the winner's reputation, but could result in prize money and professional acclaim. After hearing of Tartaglia's spectacular victory in one such contest in Venice, Cardano invited him to Milan, determined to obtain his secret by whatever means necessary. Cardano's intrigues paid off. In 1545, he was the first to publish a general solution of the cubic equation. Tartaglia, eager to take his revenge by establishing his superiority as the most brilliant mathematician of the age, challenged Cardano to the ultimate mathematical duel. A lively account of genius, betrayal, and all-too-human failings, The Secret Formula reveals the epic rivalry behind one of the fundamental ideas of modern algebra.
Mathematicians In Bologna 1861 1960
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Author : Salvatore COEN
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-05-11
Mathematicians In Bologna 1861 1960 written by Salvatore COEN and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-11 with Mathematics categories.
The scientific personalities of Luigi Cremona, Eugenio Beltrami, Salvatore Pincherle, Federigo Enriques, Beppo Levi, Giuseppe Vitali, Beniamino Segre and of several other mathematicians who worked in Bologna in the century 1861–1960 are examined by different authors, in some cases providing different view points. Most contributions in the volume are historical; they are reproductions of original documents or studies on an original work and its impact on later research. The achievements of other mathematicians are investigated for their present-day importance.
Homage To Evangelista Torricelli S Opera Geometrica 1644 2024
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Author : Raffaele Pisano
language : en
Publisher: Springer Nature
Release Date :
Homage To Evangelista Torricelli S Opera Geometrica 1644 2024 written by Raffaele Pisano and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Mathematics And Logic In History And In Contemporary Thought
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Author : Ettore Carruccio
language : en
Publisher: Routledge
Release Date : 2017-09-29
Mathematics And Logic In History And In Contemporary Thought written by Ettore Carruccio and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-29 with Mathematics categories.
This book is not a conventional history of mathematics as such, a museum of documents and scientific curiosities. Instead, it identifies this vital science with the thought of those who constructed it and in its relation to the changing cultural context in which it evolved. Particular emphasis is placed on the philosophic and logical systems, from Aristotle onward, that provide the basis for the fusion of mathematics and logic in contemporary thought.
The Universities Of The Italian Renaissance
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Author : Paul F. Grendler
language : en
Publisher: JHU Press
Release Date : 2004-09-29
The Universities Of The Italian Renaissance written by Paul F. Grendler and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-29 with Education categories.
Winner of the Howard R. Marraro Prize for Italian History from the American Historical AssociationSelected by Choice Magazine as an Outstanding Academic Title for 2003 Italian Renaissance universities were Europe's intellectual leaders in humanistic studies, law, medicine, philosophy, and science. Employing some of the foremost scholars of the time—including Pietro Pomponazzi, Andreas Vesalius, and Galileo Galilei—the Italian Renaissance university was the prototype of today's research university. This is the first book in any language to offer a comprehensive study of this most influential institution. In this magisterial study, noted scholar Paul F. Grendler offers a detailed and authoritative account of the universities of Renaissance Italy. Beginning with brief narratives of the origins and development of each university, Grendler explores such topics as the number of professors and their distribution by discipline, student enrollment (some estimates are the first attempted), famous faculty members, budget and salaries, and relations with civil authority. He discusses the timetable of lectures, student living, foreign students, the road to the doctorate, and the impact of the Counter Reformation. He shows in detail how humanism changed research and teaching, producing the medical Renaissance of anatomy and medical botany, new approaches to Aristotle, and mathematical innovation. Universities responded by creating new professorships and suppressing older ones. The book concludes with the decline of Italian universities, as internal abuses and external threats—including increased student violence and competition from religious schools—ended Italy's educational leadership in the seventeenth century.
Mathematics Unbound The Evolution Of An International Mathematical Research Community 1800 1945
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Author : Karen Hunger Parshall
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Mathematics Unbound The Evolution Of An International Mathematical Research Community 1800 1945 written by Karen Hunger Parshall and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Although today's mathematical research community takes its international character very much for granted, this ``global nature'' is relatively recent, having evolved over a period of roughly 150 years-from the beginning of the nineteenth century to the middle of the twentieth century. During this time, the practice of mathematics changed from being centered on a collection of disparate national communities to being characterized by an international group of scholars for whom thegoal of mathematical research and cooperation transcended national boundaries. Yet, the development of an international community was far from smooth and involved obstacles such as war, political upheaval, and national rivalries. Until now, this evolution has been largely overlooked by historians andmathematicians alike. This book addresses the issue by bringing together essays by twenty experts in the history of mathematics who have investigated the genesis of today's international mathematical community. This includes not only developments within component national mathematical communities, such as the growth of societies and journals, but also more wide-ranging political, philosophical, linguistic, and pedagogical issues. The resulting volume is essential reading for anyone interestedin the history of modern mathematics. It will be of interest to mathematicians, historians of mathematics, and historians of science in general.
Geometry And Complex Variables
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Author : S. Coen
language : en
Publisher: Routledge
Release Date : 2017-11-22
Geometry And Complex Variables written by S. Coen and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.
This reference presents the proceedings of an international meeting on the occasion of theUniversity of Bologna's ninth centennial-highlighting the latest developments in the field ofgeometry and complex variables and new results in the areas of algebraic geometry,differential geometry, and analytic functions of one or several complex variables.Building upon the rich tradition of the University of Bologna's great mathematics teachers, thisvolume contains new studies on the history of mathematics, including the algebraic geometrywork of F. Enriques, B. Levi, and B. Segre ... complex function theory ideas of L. Fantappie,B. Levi, S. Pincherle, and G. Vitali ... series theory and logarithm theory contributions of P.Mengoli and S. Pincherle ... and much more. Additionally, the book lists all the University ofBologna's mathematics professors-from 1860 to 1940-with precise indications of eachcourse year by year.Including survey papers on combinatorics, complex analysis, and complex algebraic geometryinspired by Bologna's mathematicians and current advances, Geometry and ComplexVariables illustrates the classic works and ideas in the field and their influence on today'sresearch.