Between Tradition and Innovation: Gregorio a San Vicente and the Flemish Jesuit Mathematics School: Jesuit Studies, cartea 32
Autor Ad J. Meskensen Limba Engleză Hardback – 31 mar 2021
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Specificații
ISBN-13: 9789004414990
ISBN-10: 9004414991
Dimensiuni: 155 x 235 mm
Greutate: 0 kg
Editura: Brill
Colecția Brill
Seria Jesuit Studies
ISBN-10: 9004414991
Dimensiuni: 155 x 235 mm
Greutate: 0 kg
Editura: Brill
Colecția Brill
Seria Jesuit Studies
Cuprins
Preface
Abbreviations
Introduction: The Low Countries, Spain, and Europe
1 The Jesuits in the Netherlands
1 The College and Its School of Mathematics
1 Schools in Antwerp
2 Jesuit Educational Policy
3 Mathematics in the Jesuit Curriculum
4 The Academy of Mathematics at the Collegio Romano
5 The College of Leuven
6 The Antwerp College in the Sixteenth Century
7 The Antwerp College in the Seventeenth Century
8 The School of Mathematics
9 Michiel Coignet and the Jesuits
2 The Seventeenth Century: The Dawn of a New Era
1 Conic Sections
2 Squaring the Circle the Archimedean Way
3 The Humble Beginnings of Infinitesimal Calculus
4 Infinitesimals: The Keplerian Revolution
5 Cavalieri’s Indivisibles
6 The Jesuits and Indivisibles
3 Francisco de Aguilón and Mathematical Optics
1 Opticorum libri sex
2 Aguilón’s Catoptrica Manuscript
4 Gregorio a San Vicente: An Ignored Genius
1 A Tragic Life
2 Mathematical Oeuvre
3 The Mechanics Theses
5 The Creative Antwerp–Leuven Period
1 Trisection of an Angle
2 Mean Proportionals
3 Properties of Conic Sections
6 Exhaustion: The Road to Infinitesimals
1 Sequences and Series
2 The Exhaustion Method
3 San Vicente’s Use of Infinitesimals
4 The Cavalieri Dispute
7 Infinitesimal Calculus at Work
1 The Hyperbola
2 Calculation of the Volume of Ductus Figures
3 Lateral Area of the Ungula cylindrica and Relations between Ductus Figures
8 Rome and Prague, the Final Discoveries
1 The Missives to Rome
2 The Chartae Romanae
3 San Vicente’s Legacy
4 Conclusion
9 The Erroneous Circle Quadrature
10 Joannes della Faille and the Beginning of Projective Geometry
1 An Itinerant Life
2 Conic Sections
3 De centro gravitatis
11 The Antwerp Students
1 Philip Nuyts
2 Ignatius Derkennis
3 Other Students
12 The Leuven Students
1 Theodorus Moretus
2 Jan Ciermans
3 Willem Boelmans
4 Willem Hesius
5 Other Students
13 The Later Disciples
1 Andreas Tacquet
2 Gilles-François de Gottignies
3 Alphonse Antonius de Sarasa
14 The Jesuit Architects
1 Ad maiorem Dei gloria
2 Descensus ad inferos
15 The Influence of the School of Mathematics
Appendix 1: Chronology of San Vicente’s Manuscripts
Appendix 2: Students of the School of Mathematics after 1625
Bibliography
Index
Abbreviations
Introduction: The Low Countries, Spain, and Europe
1 The Jesuits in the Netherlands
1 The College and Its School of Mathematics
1 Schools in Antwerp
2 Jesuit Educational Policy
3 Mathematics in the Jesuit Curriculum
4 The Academy of Mathematics at the Collegio Romano
5 The College of Leuven
6 The Antwerp College in the Sixteenth Century
7 The Antwerp College in the Seventeenth Century
8 The School of Mathematics
9 Michiel Coignet and the Jesuits
2 The Seventeenth Century: The Dawn of a New Era
1 Conic Sections
2 Squaring the Circle the Archimedean Way
3 The Humble Beginnings of Infinitesimal Calculus
4 Infinitesimals: The Keplerian Revolution
5 Cavalieri’s Indivisibles
6 The Jesuits and Indivisibles
3 Francisco de Aguilón and Mathematical Optics
1 Opticorum libri sex
2 Aguilón’s Catoptrica Manuscript
4 Gregorio a San Vicente: An Ignored Genius
1 A Tragic Life
2 Mathematical Oeuvre
3 The Mechanics Theses
5 The Creative Antwerp–Leuven Period
1 Trisection of an Angle
2 Mean Proportionals
3 Properties of Conic Sections
6 Exhaustion: The Road to Infinitesimals
1 Sequences and Series
2 The Exhaustion Method
3 San Vicente’s Use of Infinitesimals
4 The Cavalieri Dispute
7 Infinitesimal Calculus at Work
1 The Hyperbola
2 Calculation of the Volume of Ductus Figures
3 Lateral Area of the Ungula cylindrica and Relations between Ductus Figures
8 Rome and Prague, the Final Discoveries
1 The Missives to Rome
2 The Chartae Romanae
3 San Vicente’s Legacy
4 Conclusion
9 The Erroneous Circle Quadrature
10 Joannes della Faille and the Beginning of Projective Geometry
1 An Itinerant Life
2 Conic Sections
3 De centro gravitatis
11 The Antwerp Students
1 Philip Nuyts
2 Ignatius Derkennis
3 Other Students
12 The Leuven Students
1 Theodorus Moretus
2 Jan Ciermans
3 Willem Boelmans
4 Willem Hesius
5 Other Students
13 The Later Disciples
1 Andreas Tacquet
2 Gilles-François de Gottignies
3 Alphonse Antonius de Sarasa
14 The Jesuit Architects
1 Ad maiorem Dei gloria
2 Descensus ad inferos
15 The Influence of the School of Mathematics
Appendix 1: Chronology of San Vicente’s Manuscripts
Appendix 2: Students of the School of Mathematics after 1625
Bibliography
Index
Notă biografică
Ad Meskens (1962), Ph.D., AP University College Antwerp, is a lecturer on the didactics of mathematics. He has published extensively on the history of mathematics in the Low Countries including Mathematics in a Commercial Metropolis (Springer, 2013). He is an active member of the Flemish Association of Mathematics Teachers.