Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics

This volume provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. It also includes extensive commentary from one of world’s foremost authorities.

This fifth volume of A History of Arabic Sciences and Mathematics is complemented by four preceding volumes which focused on the main chapters of classical mathematics: infinitesimal geometry, theory of conics and its applications, spherical geometry, mathematical astronomy, etc.

This book includes seven main works of Ibn al-Haytham (Alhazen) and of two of his predecessors, Thābit ibn Qurra and al-Sijzī:

The circle, its transformations and its properties;

Analysis and synthesis: the founding of analytical art;

A new mathematical discipline: the Knowns;

The geometrisation of place;

Analysis and synthesis: examples of the geometry of triangles;

Axiomatic method and invention: Thābit ibn Qurra;

The idea of an Ars Inveniendi: al-Sijzī.

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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