Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics: A History of Arabic Sciences and Mathematics Volume 5

1st Edition

Roshdi Rashed

Routledge
Published April 19, 2017
Reference - 674 Pages
ISBN 9780415582193 - CAT# Y108758
Series: Culture and Civilization in the Middle East

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Summary

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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