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

<p>This fifth volume of <i>A History of Arabic Sciences and Mathematics</i> 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.</p><p></p><p>This book includes seven main works of Ibn al-Haytham (Alhazen) and of two of his predecessors Thābit ibn Qurra and al-Sijzī:</p><p></p><ul> <br><br><p></p> <li>The circle its transformations and its properties; </li> <br><br> <br><br><p></p> <li>Analysis and synthesis: the founding of analytical art; </li> <br><br> <br><br><p></p> <li>A new mathematical discipline: <i>the Known</i>s; </li> <br><br> <br><br><p></p> <li>The geometrisation of place;</li> <br><br> <br><br><p></p> <li>Analysis and synthesis: examples of the geometry of triangles;</li> <br><br> <br><br><p></p> <li>Axiomatic method and invention: Thābit ibn Qurra;</li> <br><br> <br><br><p></p> <li>The idea of an <i>Ars Inveniendi</i>: al-Sijzī.</li> <br><br> </ul><p></p><p>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.</p>