Underground mathematics : craft culture and knowledge production in early modern Europe / Thomas Morel
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Cover -- Half-title page -- Title page -- Copyright page -- Dedication -- Contents -- List of Figures -- Acknowledgements -- Introduction -- Underground Mathematics -- Numeracy, Trust, and the Circulation of Knowledge -- Tools of Visualization and Control -- A Sinuous Path -- 1 Of Scholars and Miners -- Mining and Geometry in the Middle Ages -- Georgius Agricola and the Humanist Tradition in the Ore Mountains -- The Scope of Geometry in the De re metallica -- Similar Pictures of Similar Triangles -- Geometria Theoretica, Practica, and Subterranea -- Courtly Instruments and Scholarly Methods -- 2 A Mathematical Culture: The Art of Setting Limits -- Geometry and the Rules of Law -- Claiming a Concession -- The Ubiquity of Measurements -- The Birth of a Profession -- 'A Trustworthy Geometer on the Mountain of Our Lord' -- Obeying the Laws of God and Geometry -- 3 The Mines and the Court -- The Rise of Mining Cities -- An Elector's Geometry of Power -- Engineering the Mining States -- Charting Kingdoms -- Courtly Instruments in a Practical Context -- Diverging Paths -- 4 Writing It Down: Innovation, Secrecy, and Print -- An Elusive Tradition -- Actions, Words, and Numbers -- Learning the Geometria subterranea -- Manuscripts, Secrecy, and Knowledge Circulation -- How to Print a Vade Mecum? -- Authority, Authorship, and Practices -- 5 'So Fair a Subterraneous City': Mapping the Underground -- The Mine as Subterranean City -- 'For No One Can See through Stone…' -- The Freiberga subterranea -- A Technical and Political Work -- Maps and Books as Reform Tools -- Administrating Data -- 6 How to Teach It? Finding the Right Direction -- The Mining Universitas and Its Limits -- Lost in Transition: Johann Andreas Scheidhauer -- Mathematics at the Mining Academy -- The Challenges of Teaching Higher Mathematics -- The Engineers and the Professor.
7 'One of Geometry's Nicest Applications': Crafting the Deep-George Tunnel (1771-1799) -- Thinking on Paper -- Fine-Tuning the Tunnel -- Jean-André Deluc Enters the 'Subterraneous Labyrinths' -- A Deep Connection -- Travelling to the Harz -- Conclusion -- Bibliography -- Index.
History of the development of practical mathematics in early modern Europe through the practice of mining.
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