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Homage to Evangelista Torricelli’s Opera Geometrica 1644–2024 - Raffaele Pisano, Jean Dhombres, Patricia Radelet de Grave, Paolo Bussotti

Homage to Evangelista Torricelli’s Opera Geometrica 1644–2024

Text, Transcription, Commentaries and Selected Essays as New Historical Insights
Buch | Hardcover
XVI, 1113 Seiten
2024 | 2024
Springer International Publishing (Verlag)
978-3-031-06962-8 (ISBN)
CHF 269,60 inkl. MwSt
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Evangelista Torricelli exemplifies the use the moderns made of the ancients' mathematical methods. Celebrating Evangelista Torricelli's monumental Opera geometrica, this book marks 380 years since its publication (1644-2024). This homage to Torricelli introduces the magnificent major work in Mechanics and Mathematics of a brilliant Archimedean-and-Galilean scientist to modern readers.

Opera geometrica deals with Motion & Mechanics and Geometry & Infinitesimals. In quibus Archimedis doctrina Torricelli also presents his mechanical principle of equilibrium - the foundation of the modern Principle of Virtual Work/Static.

This outstanding source and research book spotlights the relevance and originality of Torricelli's Mechanics, and is the first and most profound analysis of the Opera geometrica to date. The historical study is achieved in extensive Introduction, 5 Essays and an accurate Transcription of Opera geometrica with parallel side-by-side text, including substantive explicative notes. The book is an accessible avenue to understanding this work by leading authorities who offer much-needed insights into the relationship Physics-Mathematics, Mechanics and Fundamentals. It appeals to historians, epistemologists and scientists.

Introduction.- Part I: The Papers.- Chapter 1. A new Cycloid Narrative centered on Torricelli and Roberval to Understand the Diverse Ways of the Mathematical Revolution (Jean Dhombres).- Chapter 2. Historical and Methodological Details on the De motu gravium naturaliter descendentium in Torricelli's Opera Gometrica (1644) (Raffaele Pisano and Paolo Bussotti).- Chapter 3. Torricelli's proof of Galileo's Assumption on the Velocity Acquired at the End of a Free Fall (Patricia Radelet-de Grave).- Chapter 4. Why Publish a Book of Geometry in Seventeenth-Century Europe? Science, Status, and Print Culture in Evangelista Torricelli's Opera Geometrica (1644) (John B. Shank).- Chapter 5. Encounters with the Infinite: From Torricelli to Gödel (Martin Davis).- Part II:  A Critical Transcription & Translation of The Opera Geometrica, 1644.- Chapter 6. Introduction to a Critical Transcription.- Chapter 7. Image-Text & Transcription.- Part III: Epilogue.- Chapter 8. Epilogue [by............] Chapter 9. Torricelli: Historical Source Introductory.- Index.
 

 


Erscheinungsdatum
Reihe/Serie Logic, Epistemology, and the Unity of Science
Zusatzinfo XVI, 1113 p. 553 illus., 507 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 210 x 279 mm
Themenwelt Geisteswissenschaften Geschichte
Geisteswissenschaften Philosophie Erkenntnistheorie / Wissenschaftstheorie
Mathematik / Informatik Mathematik Geschichte der Mathematik
Naturwissenschaften
Schlagworte Ancient Geometry / Ad absurdum proofs • Centre of Gravity / Archimedean Approach • Cultural and Methodological Heritages • Cycloid Narrative of Mathematical Revolution • De motu gravium naturaliter descendentium • Evangelista Torricelli's Opera Geometrica • Evangelista Torricelli’s Opera Geometrica • Galileo's Assumption on Velocity Acquired End of a Free Fall • Galileo’s Assumption on Velocity Acquired End of a Free Fall • Geometry in Seventeenth-Century Europe • Infinitesimal Geometry / Indivisibles • Infinite Torricelli and Gödel • Mechanics / Early Statics • Opera Geometrica • Principle of Virtual Works(-Displacements) • Principle of Virtual Works(–Displacements) • Proofs' Methods • Relationship Physics-Mathematics Unity • Torricelli • Transcription of the Opera Geometrica • Translation of The Opera Geometrica
ISBN-10 3-031-06962-5 / 3031069625
ISBN-13 978-3-031-06962-8 / 9783031069628
Zustand Neuware
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