Computer Science – Numerical Analysis
Scientific paper
Oct 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1283....1b&link_type=abstract
MATHEMATICS AND ASTRONOMY: A JOINT LONG JOURNEY: Proceedings of the International Conference. AIP Conference Proceedings, Volum
Computer Science
Numerical Analysis
Astronomical Observations, Geometry, Numerical Analysis, Modal Analysis, Astronomical Catalogs, Atlases, Sky Surveys, Databases, Retrieval Systems, Archives, Etc., Global Differential Geometry, Ordinary And Partial Differential Equations, Boundary Value Problems, Euclidean And Projective Geometries
Scientific paper
In this paper we shall show some ways in which mathematics intervened to allow ancient and medieval astronomers to solve problems that they had not been able to solve previously. We shall, as well, discuss some of the ways in which astronomical problems stimulated developments in ancient mathematics. We shall begin with mathematical astronomy in Babylon, during a period when astronomy was a purely numerical exercise.
We shall then look at some aspects of Greek astronomy, when theories of the motions of heavenly bodies based on the geometry of spheres and circles were first introduced. And we shall see how the Greeks also developed new numerical methods to use with their geometry to create a new astronomy.
Finally, we shall examine how medieval Islamic astronomers created a more powerful version of trigonometry to invent the science of astronomical timekeeping. And we shall also see how they exercised geometrical ingenuity to bring the theories of Ptolemy into closer correspondence with motions that might be physically possible.
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