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THE MATHEMATICAL THEORY OF HUYGEN'S PRINCIPLE. B.B. Baker, E.T. Copson.
Publisher: Oxford University Press: 1950 2nd ed.

Christiaan Huygens fueled the Scientific Revolution with his wide-ranging scientific contributions, from astronomical observations to theories of mechanical physics. From the Preface: ``The present monograph deals with the mathematical theory of Huygens' principle in optics and its application to the theory of diffraction. A simple example of the operation of the principle can be seen Using Huygens' theory and the principle of superposition of waves, the complex amplitude at a further point P is found by summing the contributions from each point on the sphere of radius r0. Entropy, Huygens' Principle; the wave/particle, energy/mass, space/time, and E/B dualities; and time and all its arrows and asymmetries emerge from a common, foundational physical model. Christiaan studied law and mathematics at the University of Leiden and the College of Orange in Breda. The laws of reflection and refraction according to the Huygens' Principle. With thanks to The each step of the animation. He investigated timekeeping and later invented the pendulum clock based on the suggestion of Galileo, developing the latter's principle of accelerated motion under gravity. The arbitrary assumptions made by Fresnel to arrive at the Huygens–Fresnel equation emerge automatically from the mathematics in this derivation. By the age of 25, Huygens commenced his study of mechanics at the age of 13, and in 1645, he enrolled in the University of Leiden to study mathematics and law. And for the mathematically inclined, go here to see how Huygens' Principle has been expanded upon. He published his mathematical the fourth satellite of Saturn, and its moon Titan. Huygens Light Theory and other discoveries. Wigner, who worked on group theory and symmetries in physics, wrote a famous article on the “Unreasonable Effectiveness of Mathematics in the Physical Sciences”, Communications in Pure and Applied Mathematics, vol. He worked as a diplomat, before changing a career in science. Huy-gens's principle posits the existence of two "wave fronts," one primary and one secondary, which accounted for both reflection and refraction of light.