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The Ballet of the Planets unravels the beautiful mystery of planetary motion, revealing how our understanding of astronomy evolved from Archimedes and Ptolemy to Copernicus, Kepler, and Newton. Mathematician Donald Benson shows that ancient theories of planetary motion were based on the assumptions that the Earth was the center of the universe and the planets moved in a uniform circular motion. Since ancient astronomers noted that occasionally a planet would exhibit retrograde motion--would seem to reverse its direction and move briefly westward--they concluded that the planets moved in epicyc

Planetary theory --- Celestial mechanics. --- Gravitational astronomy --- Mechanics, Celestial --- Astrophysics --- Mechanics --- Planets, Theory of --- Celestial mechanics --- History. --- History --- Planetary theory - History

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This text attempts to show the power of mathematics to a readership with a background in only elementary algebra. It presents fundamental proofs, mostly in number theory, aiming to give an idea of the pleasure that mathematical work can bring.

Proof theory --- Logic, Symbolic and mathematical. --- Proof theory.