Between Tradition and Innovation

Gregorio a San Vicente and the Flemish Jesuit Mathematics School

Inbunden, Engelska, 2021

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In Between Tradition and Innovation, Ad Meskens traces the profound influence of a group of Flemish Jesuits on the course of mathematics in the seventeenth century. Using manuscript evidence, this book argues that one of the Flemish mathematics school’s professors, Gregorio a San Vicente (1584–1667), had developed a logically sound integration method more than a decade before the Italian mathematician Bonaventura Cavalieri. Although San Vincente’s superiors refused to grant him permission to publish his results, his methods went on to influence numerous other mathematicians through his students, many of whom became famous mathematicians in their own right. By carefully tracing their careers and outlining their biographies, Meskens convincingly shows that they made a number of ground-breaking contributions to fields ranging from mathematics and mechanics to optics and architecture.

Produktinformation

Utgivningsdatum2021-04-01
Mått155 x 235 x 25 mm
Vikt640 g
FormatInbunden
SpråkEngelska
SerieJesuit Studies
Antal sidor294
FörlagBrill
ISBN9789004414990

Tillhör följande kategorier

Historia inom Historia och arkeologi
Matematikens historia inom Naturvetenskap och teknik
Pedagogik inom Psykologi och pedagogik
Matematikens grunder inom Naturvetenskap och teknik

PrefaceAbbreviationsIntroduction: The Low Countries, Spain, and Europe1 The Jesuits in the Netherlands1 The College and Its School of Mathematics1 Schools in Antwerp2 Jesuit Educational Policy3 Mathematics in the Jesuit Curriculum4 The Academy of Mathematics at the Collegio Romano5 The College of Leuven6 The Antwerp College in the Sixteenth Century7 The Antwerp College in the Seventeenth Century8 The School of Mathematics9 Michiel Coignet and the Jesuits2 The Seventeenth Century: The Dawn of a New Era1 Conic Sections2 Squaring the Circle the Archimedean Way3 The Humble Beginnings of Infinitesimal Calculus4 Infinitesimals: The Keplerian Revolution5 Cavalieri’s Indivisibles6 The Jesuits and Indivisibles3 Francisco de Aguilón and Mathematical Optics1 Opticorum libri sex2 Aguilón’s Catoptrica Manuscript4 Gregorio a San Vicente: An Ignored Genius1 A Tragic Life2 Mathematical Oeuvre3 The Mechanics Theses5 The Creative Antwerp–Leuven Period1 Trisection of an Angle2 Mean Proportionals3 Properties of Conic Sections6 Exhaustion: The Road to Infinitesimals1 Sequences and Series2 The Exhaustion Method3 San Vicente’s Use of Infinitesimals4 The Cavalieri Dispute7 Infinitesimal Calculus at Work1 The Hyperbola2 Calculation of the Volume of Ductus Figures3 Lateral Area of the Ungula cylindrica and Relations between Ductus Figures8 Rome and Prague, the Final Discoveries1 The Missives to Rome2 The Chartae Romanae3 San Vicente’s Legacy4 Conclusion9 The Erroneous Circle Quadrature10 Joannes della Faille and the Beginning of Projective Geometry1 An Itinerant Life2 Conic Sections3 De centro gravitatis11 The Antwerp Students1 Philip Nuyts2 Ignatius Derkennis3 Other Students12 The Leuven Students1 Theodorus Moretus2 Jan Ciermans3 Willem Boelmans4 Willem Hesius5 Other Students13 The Later Disciples1 Andreas Tacquet2 Gilles-François de Gottignies3 Alphonse Antonius de Sarasa14 The Jesuit Architects1 Ad maiorem Dei gloria2 Descensus ad inferos15 The Influence of the School of MathematicsAppendix 1: Chronology of San Vicente’s ManuscriptsAppendix 2: Students of the School of Mathematics after 1625BibliographyIndex