Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics: A History of Arabic Sciences and Mathematics Volume 5
Roshdi Rashed, "Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics: A History of Arabic Sciences and Mathematics Volume 5"
2017 | ISBN-10: 0415582199 | 678 pages | PDF, EPUB | 11 + 6 MB
2017 | ISBN-10: 0415582199 | 678 pages | PDF, EPUB | 11 + 6 MB
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.