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About the Editors and Authors; List of Figures; 1 Introduction: Practical Mathematics, Practical Mathematicians, and the Case for Transforming the Studyof Nature; 1.1 E.G.R. Taylor and Mathematical Practitioners; 1.2 Taylor's Category Continues; 1.3 Framing the Argument; 1.4 Structure of the Volume; 1.5 Conclusion; Part I Framing the Argument: Theories of Connection; 2 Handwork and Brainwork: Beyond the Zilsel Thesis; 2.1 Introduction; 2.2 Handwork and Brainwork; 2.3 Hessen and Zilsel; 2.4 Utility and Ben-David's Scientistic Society.

2.5 The `Scientific Revolution' and Mathematical Practitioners2.6 The Case of English Geography; 2.7 Conclusion; 3 Consuming and Appropriating Practical Mathematics and the Mixed Mathematical Fields, or Being "Influenced" by Them: The Case of the Young Descartes; 3.1 Externalist Narrative, the New Historians of Practical Mathematics and the Category of Natural Philosophy; 3.1.1 Too Many Targets, Too Many Sources, Too Many Modes of Causation; 3.1.2 Natural Philosophizing as Culture and Process; 3.1.3 Practical Mathematics Was Also a Tradition in Process.

3.2 Rectifying the Terrain of Externalist Explanation3.2.1 What Was Cartesian `Dynamics', the Causal Register of His Natural Philosophy?; 3.3 Case Study 1: 1619-From Hydrostatics to Dynamics: From Mixed Mathematics to Corpuscular Mechanism; 3.4 Case Study 2: 1627-The Laws of Light and the Laws of Nature; 3.5 Case Study 3: Sorting Out the `Causal Mode' of Sixteenth-Century Mechanics; 3.6 Case Study 4: Hobnobbing with Practitioners and Machines; 3.7 Conclusion: Opportunities and Pitfalls; Part II What Did Practical Mathematics Look Like?

4 Mathematics for Sale: Mathematical Practitioners, Instrument Makers, and Communities of Scholars in Sixteenth-Century London4.1 Introduction; 4.2 Mathematical Lectures; 4.3 Thomas Hood as the First London Mathematical Lecturer; 4.4 Gresham College; 4.5 Proposed Lecture in Navigation; 4.6 Instrument Makers; 4.7 Practical Mathematics and Its Audience; 4.8 Molyneux's Shop; 4.9 Conclusion; 5 Technologies of Pow(d)er: Military Mathematical Practitioners' Strategies and Self-Presentation; 5.1 Military Mathematical Practitioners in Later Sixteenth-Century England.

5.2 Military Mathematical Practice5.2.1 Fortifying; 5.2.2 Gunning; 5.3 Conclusion:The Rise of the Military Mathematical Practitioner; 6 Machines as Mathematical Instruments; Part III What Was the Relationship Between Practical Mathematics and Natural Philosophy?; 7 The Making of Practical Optics: Mathematical Practitioners' Appropriation of Optical Knowledge Between Theory and Practice; 7.1 Introduction; 7.2 Shared Optical Knowledge; 7.3 William Bourne versus Ettore Ausonio: Theory and Practice; 7.4 Conclusion; 8 Hero of Alexandria and Renaissance Mechanics; 8.1 The Medieval Hero.

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