Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics
ISBN: 978-03-678-6529-0
Format: 15.6x23.4cm
Liczba stron: 680
Oprawa: Miękka
Wydanie: 2019 r.
Język: angielski
Dostępność: dostępny
<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><br/><br/><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><br/><br/><UL><br/><br/><P><br/><br/><LI>The circle, its transformations and its properties; </LI><br/><br/><P></P><br/><br/><P><br/><br/><LI>Analysis and synthesis: the founding of analytical art; </LI><br/><br/><P></P><br/><br/><P><br/><br/><LI>A new mathematical discipline: <I>the Known</I>s; </LI><br/><br/><P></P><br/><br/><P><br/><br/><LI>The geometrisation of place;</LI><br/><br/><P></P><br/><br/><P><br/><br/><LI>Analysis and synthesis: examples of the geometry of triangles;</LI><br/><br/><P></P><br/><br/><P><br/><br/><LI>Axiomatic method and invention: Thābit ibn Qurra;</LI><br/><br/><P></P><br/><br/><P><br/><br/><LI>The idea of an <I>Ars Inveniendi</I>: al-Sijzī.</LI><br/><br/><P></P></UL><br/><br/><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>