Book (Practical) Mathematics Medieval Islamic Mathematics : Nobuo Miura, Motonyo Sakata

Product description ※Please note that product information is not in full comprehensive meaning because of the machine translation.

Mathematics
[Introduction to Contents]
Although it always appears in the history of mathematics and science, it is the first translation of the most detailed original book in the field of the history of Arabic mathematics (history of Islamic mathematics).
It contains a lot of the latest results of Arabic mathematics research which has made remarkable progress since the latter half of the 20th century, and also mentions the cultural background (relation with Islamic culture).
It also introduces topics such as Arabic mathematics and combination methods in the Maghreb area (North Africa) which were not known until now.
It is the definitive edition of the basic book which deals with the whole history of Arabic mathematics in general.
It covers the important themes of Arabic mathematics in general, and is perfect for learning the whole picture of Arabic mathematics.
Contents
Chapter 1 The Beginning of Properties of Hyperbola
4 Consideration of Heptares by Abu Sahur Kuehi
4.1 Consideration of Heptares by Archimedes
4.2 Analysis by Abu Sahur
5.1 Drawing of ネウシス
5.2 Opposed static and dynamic geometries
5.3 Consideration of Parabola by Abu Sahur
6 Drawing of Conic
6.1 Consideration of Parabola by Ibrahim ibn シナーン
6.2 Consideration of Parabola by Ibrahim ibn シナーン
6.3 Consideration of イスティマクール by Abu Sahur
10 Practical metrical geometry
Reference
Chapter 4 Algebra of the Islamic World
1 Problem of unknown quantities
2 Source of Islamic Algebra
10 Practical metrical geometry
Reference
Chapter 4 Algebra of the br> 9 Procedure for interpolation
Procedure for Linear interpolation
Quadratic interpolation
10 Approximation of Sin 1 ^? by Carsey
Exercises
References
Chapter 6 The Spherical Trigonometry of the Islamic World
1 Ancient Background
2 Important Circles on the celestial sphere
3 The Time of Rising Constellations
4 Stereo Projections and アストロラーブ
5 The Current Time from the Sun and the Stars
6 The Spherical Trigonometry of Islam
7 Tables for Spherical Astronomy
8 The Islamic Side : Directions of Worship
Exercises
References
Chapter 7 The Number Theory and Combinations of the Islamic World
One Number Theory
Expressing Rational Numbers 3.1 2.3 2.4 2.5 5.1 5.2 5.3 5.4 6.1 6.2 6.3 3.2 7.1 7.2 7.3 7.4 7.5 7.6 8.1 8.2 8.3 3.1 3.3 3.2 3.1 3.4 3.2 4.1 5.1 5.2 5.3 6.1 6.2 6.3 8.1 8.2 3.5 9.1 9.2 9.3 9.4 9.5 9.1 9.2 1.1 1.2 1.3 5.1 2.1 2.2 2.3 5.2 2.1 2.2 シナーン geometrical optics 『 』 ムウタマン Umar Ibn Hud Umar Umar Umar Umar Umar Abu al-Wafa Buzjani