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Lenses and Waves

Author: Fokko Jan Dijksterhuis
Publisher: [New York] : Springer Science + Business Media, Inc., 2005.
Series: Archimedes.
Edition/Format:   Print book : EnglishView all editions and formats

Discusses the development of Huygens' wave theory, reconstructing the winding road that eventually led to "Traite de la Lumiere". This book offers an account of the development of Huygens'  Read more...


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Document Type: Book
All Authors / Contributors: Fokko Jan Dijksterhuis
ISBN: 9781402026973 1402026978
OCLC Number: 318295647
Contents: Chapter 1 Introduction - 'the perfect Cartesian'.- A history of Traite de la Lumiere. Huygens' optics. New light on Huygens. Chapter 2 1653 - 'Tractatus'.- 2.1 The Tractatus of 1653. 2.1.1 Ovals to lenses. 2.1.2 A theory of the telescope. The focal distance of a bi-convex lens. Images. Conclusion. 2.2 Dioptrics and the telescope. 2.2.1 Kepler and the mathematics of lenses. Image formation. Lenses. Perspectiva and the telescope. 2.2.2 The use of the sine law. Descartes and the ideal telescope. After Descartes. Dioptrics as mathematics. 2.2.3 The need for theory. The micrometer and telescopic sights. Understanding the telescope. Huygens' position. Chapter 3 1655-1672 - 'De Aberratione'.- 3.1 The use of theory. 3.1.1 Huygens and the art of telescope making. Huygens' skills. Alternative configurations. Experiential knowledge. 3.1.2 Inventions on telescopes by Huygens. 3.2 Dealing with aberrations. 3.2.1 Properties of spherical aberration.- Specilla circularia.- Theory and its applications. 3.2.2 Putting theory to practice. A new design. 3.2.3 Newton's other look and Huygens' response. 3.3 Dioptrica in the context of Huygens' mathematical science. 3.3.1 The mathematics of things. Huygens 'geometre'. 3.3.2 Huygens the scholar & Huygens the craftsman. The 'raison d'etre' of Dioptrica: l'instrument pour l'instrument. Chapter 4 The 'Projet' of 1672.- 'Projet du Contenu de la Dioptrique'. 4.1 The nature of light and the laws of optics. 4.1.1 Alhacen on the cause of refraction. 4.1.2 Kepler on the measure and the cause of refraction. The measure of refraction. True measures. Paralipomena and the seventeenth-century reconfiguration of optics. 4.1.3 The laws of optics in corpuscular thinking. Refraction in La Dioptrique. Epistemic aspects of Descartes' account in historical context. Historian's assessment of Descartes' optics. Reception of Descartes' account of refraction. Barrow's causal account of refraction. 4.2 The mathematics of strange refraction. 4.2.1 Bartholinus and Huygens on Iceland Crystal. Bartholinus' experimenta. Huygens' alternatives. 4.2.2 Rays versus waves: the mathematics of things revisited. The particular problem of strange refraction: waves versus masses. Chapter 5 1677-1679 - Waves of Light.- 5.1 A new theory of waves. 5.1.1 A first EUPHKA. The solution of the 'difficulte' of Iceland Crystal. 5.1.2 Undulatory theory. Explaining strange refraction. 5.1.3 Traite de la Lumiere and the 'Projet'. 5.2 Comprehensible explanations. 5.2.1 Mechanisms of light. Hobbes, Hooke and the pitfalls of mechanistic philosophy: rigid waves. 5.2.2 'Raisons de mechanique'. Newton's speculations on the nature of light. The status of 'raisons de mechanique'. 5.3 A second euphka. 5.3.1 Danish objections. Forced innovation. 5.3.2 Hypotheses and deductions. Chapter 6 1690 - Traite de la Lumiere.- 6.1 Creating Traite de la Lumiere. 6.1.1 Completing 'Dioptrique'. Huygens' dioptrics in the 1680s. 6.1.2 From 'Dioptrique' to Traite de la Lumiere. The publication of Traite de la Lumiere. 6.2 Traite de la Lumiere and the advent of physical optics. Mathematization by extending mathematics. The matter of rays. The mathematics of light. 6.3 Traite de la Lumiere and Huygens' oeuvre. 6.3.1 Huygens' Cartesianism. The subtle matter of 1669. Huygens versus Newton. Huygens' self-image. 6.3.2 The reception of Huygens. Chapter 7 Conclusion: Lenses & Waves.- A seventeenth-century Archimedes.- From mathematics to mechanisms.- Huygens and Descartes.- The small Archimedes.- List of figures.- Bibliography.- Index
Series Title: Archimedes.
Responsibility: Fokko Jan Dijksterhuis.


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From the reviews: "This book evolved out of a dissertation presented to the University of Twente in 1999. ... there is a list of over 400 references in a variety of languages which the author Read more...

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