Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics: A History of Arabic Sciences and Mathematics Volume 5: Culture and Civilization in the Middle East
Editat de Roshdi Rasheden Limba Engleză Paperback – 12 dec 2019
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.
Toate formatele și edițiile | Preț | Express |
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Paperback (1) | 381.83 lei 43-57 zile | |
Taylor & Francis – 12 dec 2019 | 381.83 lei 43-57 zile | |
Hardback (1) | 773.20 lei 43-57 zile | |
Taylor & Francis – 19 apr 2017 | 773.20 lei 43-57 zile |
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Specificații
ISBN-13: 9780367865290
ISBN-10: 0367865297
Pagini: 678
Dimensiuni: 156 x 234 x 35 mm
Greutate: 0.45 kg
Ediția:1
Editura: Taylor & Francis
Colecția Routledge
Seria Culture and Civilization in the Middle East
Locul publicării:Oxford, United Kingdom
ISBN-10: 0367865297
Pagini: 678
Dimensiuni: 156 x 234 x 35 mm
Greutate: 0.45 kg
Ediția:1
Editura: Taylor & Francis
Colecția Routledge
Seria Culture and Civilization in the Middle East
Locul publicării:Oxford, United Kingdom
Public țintă
Postgraduate and UndergraduateCuprins
CONTENTS
Foreword
Preface
CHAPTER I: THE PROPERTIES OF THE CIRCLE
INTRODUCTION
1. The concept of homothety
2. Euclid, Pappus and Ibn al-Haytham: on homothety
3. Ibn al-Haytham and homothety as a point by point transformation
4. History of the text
MATHEMATICAL COMMENTARY
TRANSLATED TEXT: On the Properties of Circles
CHAPTER II: THE ANALYTICAL ART IN THE TENTH TO ELEVENTH
CENTURIES
INTRODUCTION
1. The rebirth of a subject
2. Analytical art: discipline and method
3. The analytical art and the new discipline: ‘The Knowns’
4. History of the texts
On Analysis and Synthesis
The Knowns
I. ANALYSIS AND SYNTHESIS: MATHEMATICAL METHOD AND DISCIPLINE
MATHEMATICAL COMMENTARY
1. The double classification of Analysis and Synthesis
Preliminary propositions
Analysis and synthesis in arithmetic
Analysis and synthesis in geometry
Analysis and synthesis in astronomy
Analysis in music
2. Applications of analysis and synthesis in number theory and in geometry
Number theory
Perfect Numbers
Two indeterminate systems of equations of the first degree
Geometrical problems
Problem in plane geometry
Problem solved with the help of transformations
Construction of a circle to touch three given circles
xii CONTENTS
Auxiliary problem
Geometrical commentary on the problem
Algebraic commentary on the auxiliary problem
TRANSLATED TEXT: On Analysis and Synthesis
II. THE KNOWNS: A NEW GEOMETRICAL DISCIPLINE
INTRODUCTION
MATHEMATICAL COMMENTARY
1. Properties of position and of form and geometrical transformations
2. Invariant properties of ge
Notă biografică
Roshdi Rashed is one of the most eminent authorities on Arabic mathematics and the exact sciences. A historian and philosopher of mathematics and science and a highly celebrated epistemologist, he is currently Emeritus Research Director (distinguished class) at the Centre National de la Recherche Scientifique (CNRS) in Paris, and is the former Director of the Centre for History of Medieval Science and Philosophy at the University of Paris (Denis Diderot, Paris VII). He also holds an Honorary Professorship at the University of Tokyo and an Emeritus Professorship at the University of Mansourah in Egypt.
J. V. Field is a historian of science, and is a Visiting Research Fellow in the Department of History of Art and Screen Media, Birkbeck, University of London, UK.
J. V. Field is a historian of science, and is a Visiting Research Fellow in the Department of History of Art and Screen Media, Birkbeck, University of London, UK.
Descriere
This volume provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. It also includes extensive commentary from one of world’s foremost authorities.