Ibn Al Haythams Geometrical Methods And The Philosophy Of Mathematics

Author : Roshdi Rashed
Publisher : Routledge
ISBN 13 : 1351686003
Total Pages : 637 pages
Book Rating : 4.06/5 ( download)

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Download or read book Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics written by Roshdi Rashed and published by Routledge. This book was released on 2017-07-20 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Roshdi Rashed
Publisher : Routledge
ISBN 13 : 1135072531
Total Pages : 770 pages
Book Rating : 4.37/5 ( download)

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Download or read book Ibn al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry written by Roshdi Rashed and published by Routledge. This book was released on 2013-06-26 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Conics, Geometrical Constructions and Practical Geometry: A History of Arabic Sciences and Mathematics Volume 3, provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. The present text is complemented by two preceding volumes of A History of Arabic Sciences and Mathematics, which focused on founding figures and commentators in the ninth and tenth centuries, and the historical and epistemological development of ‘infinitesimal mathematics’ as it became clearly articulated in the oeuvre of Ibn al-Haytham. This volume examines the increasing tendency, after the ninth century, to explain mathematical problems inherited from Greek times using the theory of conics. Roshdi Rashed argues that Ibn al-Haytham completes the transformation of this ‘area of activity,’ into a part of geometry concerned with geometrical constructions, dealing not only with the metrical properties of conic sections but with ways of drawing them and properties of their position and shape. Including extensive commentary from one of world’s foremost authorities on the subject, this book contributes a more informed and balanced understanding of the internal currents of the history of mathematics and the exact sciences in Islam, and of its adaptive interpretation and assimilation in the European context. This fundamental text will appeal to historians of ideas, epistemologists and mathematicians at the most advanced levels of research.

Author : Roshdi Rashed
Publisher : Routledge
ISBN 13 : 1317680863
Total Pages : 434 pages
Book Rating : 4.64/5 ( download)

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Download or read book Ibn al-Haytham, New Astronomy and Spherical Geometry written by Roshdi Rashed and published by Routledge. This book was released on 2020-10-12 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. The fourth volume of A History of Arabic Sciences and Mathematics is complemented by three preceding volumes which focused on infinitesimal determinations and other chapters of classical mathematics. This book includes five main works of the polymath Ibn al-Haytham (Alhazen) on astronomy, spherical geometry and trigonometry, plane trigonometry and studies of astronomical instruments on hour lines, horizontal sundials and compasses for great circles. In particular, volume four examines: the increasing tendency to mathematize the inherited astronomy from Greek sources, namely Ptolemy's Almagest; the development of celestial kinematics; new research in spherical geometry and trigonometry required by the new kinematical theory; the study on astronomical instruments and its impact on mathematical research. These new historical materials and their mathematical and historical commentaries contribute to rewriting the history of mathematical astronomy and mathematics from the 11th century on. 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.

Author : Rushdī Rāshid
Publisher :
ISBN 13 : 9780415582193
Total Pages : 0 pages
Book Rating : 4.99/5 ( download)

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Download or read book Ibn Al-Haytham's Geometrical Methods and the Philosophy of Mathematics written by Rushdī Rāshid and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Roshdi Rashed
Publisher : Routledge
ISBN 13 : 1136191070
Total Pages : 438 pages
Book Rating : 4.77/5 ( download)

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Download or read book Ibn al-Haytham and Analytical Mathematics written by Roshdi Rashed and published by Routledge. This book was released on 2013-05-02 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a unique primary source on the history and philosophy of mathematics and the exact sciences in the mediaeval Arab world. The second of five comprehensive volumes, this book offers a detailed exploration of Arabic mathematics in the eleventh century as embodied in the legacy of the celebrated polymath al-Hasan ibn al-Haytham. Extensive analyses and annotations from the eminent scholar, Roshdi Rashed, support a number of key Arabic texts from Ibn al-Haytham’s treatises in infinitesimal mathematics, translated here into English for the first time. Rashed shows how Ibn al-Haytham’s works demonstrate a remarkable mathematical competence in mathematical subjects like the quadrature of the circle and of lunes, the calculation of the volumes of paraboloids, the problem of isoperimetric plane figures and solid figures with equal surface areas, along with the extraction of square and cubic roots. The present text is complemented by the first volume of A History of Arabic Sciences and Mathematics, which focused on founding figures and commentators in the ninth and tenth centuries Archimedean-Apollonian mathematical ‘School of Baghdad’. This constellation of works illustrates the historical and epistemological development of ‘infinitesimal mathematics’ as it became clearly articulated in the oeuvre of Ibn al-Haytham. Contributing to a more informed and balanced understanding of the internal currents of the history of mathematics and the exact sciences in Islam, and of its adaptive interpretation and assimilation in the European context, this fundamental text will appeal to historians of ideas, epistemologists and mathematicians at the most advanced levels of research.

Author : Hassan Tahiri
Publisher : Springer
ISBN 13 : 3319937332
Total Pages : 320 pages
Book Rating : 4.35/5 ( download)

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Download or read book The Philosophers and Mathematics written by Hassan Tahiri and published by Springer. This book was released on 2018-08-14 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the unique relationship between two different approaches to understand the nature of knowledge, reality, and existence. It collects essays that examine the distinctive historical relationship between mathematics and philosophy. Readers learn what key philosophers throughout the ages thought about mathematics. This includes both thinkers who recognized the relevance of mathematics to their own work as well as those who chose to completely ignore its many achievements. The essays offer insight into the role that mathematics played in the formation of each included philosopher’s doctrine as well as the impact its remarkable expansion had on the philosophical systems each erected. Conversely, the authors also highlight the ways that philosophy contributed to the growth and transformation of mathematics. Throughout, significant historical examples help to illustrate these points in a vivid way. Mathematics has often been a favored interlocutor of philosophers and a major source of inspiration. This book is the outcome of an international conference held in honor of Roshdi Rashed, a renowned historian of mathematics. It provides researchers, students, and interested readers with remarkable insights into the history of an important relationship throughout the ages.

Author : S. G. Dani
Publisher : Springer Nature
ISBN 13 : 3030136094
Total Pages : 759 pages
Book Rating : 4.93/5 ( download)

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Download or read book Geometry in History written by S. G. Dani and published by Springer Nature. This book was released on 2019-10-18 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty.

Author : Roshdi Rashed
Publisher : Routledge
ISBN 13 : 1317622383
Total Pages : 621 pages
Book Rating : 4.83/5 ( download)

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Download or read book Classical Mathematics from Al-Khwarizmi to Descartes written by Roshdi Rashed and published by Routledge. This book was released on 2014-08-21 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book follows the development of classical mathematics and the relation between work done in the Arab and Islamic worlds and that undertaken by the likes of Descartes and Fermat. ‘Early modern,’ mathematics is a term widely used to refer to the mathematics which developed in the West during the sixteenth and seventeenth century. For many historians and philosophers this is the watershed which marks a radical departure from ‘classical mathematics,’ to more modern mathematics; heralding the arrival of algebra, geometrical algebra, and the mathematics of the continuous. In this book, Roshdi Rashed demonstrates that ‘early modern,’ mathematics is actually far more composite than previously assumed, with each branch having different traceable origins which span the millennium. Going back to the beginning of these parts, the aim of this book is to identify the concepts and practices of key figures in their development, thereby presenting a fuller reality of these mathematics. This book will be of interest to students and scholars specialising in Islamic science and mathematics, as well as to those with an interest in the more general history of science and mathematics and the transmission of ideas and culture.

Author : Roshdi Rashed
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110571420
Total Pages : 888 pages
Book Rating : 4.24/5 ( download)

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Download or read book Menelaus' ›Spherics‹ written by Roshdi Rashed and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-10-23 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite its importance in the history of Ancient science, Menelaus’ Spherics is still by and large unknown. This treatise, which lies at the foundation of spherical geometry, is lost in Greek but has been preserved in its Arabic versions. The reader will find here, for the first time edited and translated into English, the essentials of this tradition, namely: a fragment of an early Arabic translation and the first Arabic redaction of the Spherics composed by al-Māhānī /al-Harawī, together with a historical and mathematical study of Menelaus’ treatise. With this book, a new and important part of the Greek and Arabic legacy to the history of mathematics comes to light. This book will be an indispensable acquisition for any reader interested in the history of Ancient geometry and science and, more generally, in Greek and Arabic science and culture.

Author : J.P. Hogendijk
Publisher : Springer Science & Business Media
ISBN 13 : 147574059X
Total Pages : 425 pages
Book Rating : 4.92/5 ( download)

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Download or read book Ibn al-Haytham’s Completion of the Conics written by J.P. Hogendijk and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arabian text with English translation and commentary