This volume provides a unique primary source on the history and
philosophy of mathematics and science from the mediaeval Arab
world. The fourth volume of "A History of Arabic Sciences and
Mathematics" is complemented by three preceding volumes which
focused on infinitesimal determinations and other chapters of
classical mathematics.
This book includes five main works of the polymath Ibn
al-Haytham (Alhazen) on astronomy, spherical geometry and
trigonometry, plane trigonometry and studies of astronomical
instruments on hour lines, horizontal sundials and compasses for
great circles.
In particular, volume four examines:
- the increasing tendency to mathematize the inherited astronomy
from Greek sources, namely Ptolemy's "Almagest";
- the development of celestial kinematics;
- new research in spherical geometry and trigonometry required by
the new kinematical theory;
- the study on astronomical instruments and its impact on
mathematical research. These new historical materials and their
mathematical and historical commentaries contribute to rewriting
the history of mathematical astronomy and mathematics from the 11th
century on.
Including extensive commentary from one of the world s foremost
authorities on the subject, this fundamental text is essential
reading for historians and mathematicians at the most advanced
levels of research."
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