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Author : Lahcene Abdallah Bachicoua
Publisher : Lulu.com
Page : 262 pages
File Size : 44,7 Mb
Release : 2024-06-15
Category : Electronic
ISBN : 9781300941408
Author : R. Rashed
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 46,8 Mb
Release : 2013-04-18
Category : History
ISBN : 9789401732741
An understanding of developments in Arabic mathematics between the IXth and XVth century is vital to a full appreciation of the history of classical mathematics. This book draws together more than ten studies to highlight one of the major developments in Arabic mathematical thinking, provoked by the double fecondation between arithmetic and the algebra of al-Khwarizmi, which led to the foundation of diverse chapters of mathematics: polynomial algebra, combinatorial analysis, algebraic geometry, algebraic theory of numbers, diophantine analysis and numerical calculus. Thanks to epistemological analysis, and the discovery of hitherto unknown material, the author has brought these chapters into the light, proposes another periodization for classical mathematics, and questions current ideology in writing its history. Since the publication of the French version of these studies and of this book, its main results have been admitted by historians of Arabic mathematics, and integrated into their recent publications. This book is already a vital reference for anyone seeking to understand history of Arabic mathematics, and its contribution to Latin as well as to later mathematics. The English translation will be of particular value to historians and philosophers of mathematics and of science.
Author : Roshdi Rashed
Publisher : Routledge
Page : 758 pages
File Size : 40,5 Mb
Release : 2014-08-21
Category : History
ISBN : 9781317622383
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 : Routledge
Page : 637 pages
File Size : 46,9 Mb
Release : 2017-07-20
Category : History
ISBN : 9781351686006
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 : Mizrahi
Publisher : Unknown
Page : 960 pages
File Size : 46,6 Mb
Release : 1997-05-30
Category : Electronic
ISBN : 0471183911
This outstanding introduction to Finite Mathematics contains real life applications, cohesive treatment of discrete math topics, and thorough treatment of linear programming.
Author : Rushdī Rāshid
Publisher : Unknown
Page : 0 pages
File Size : 47,5 Mb
Release : 2012
Category : HISTORY
ISBN : 0415582156
"In this unique insight into the history and philosophy of mathematics and science in the mediaeval Arab world, the eminent scholar Roshdi Rashed illuminates the various historical, textual and epistemic threads that underpinned the history of Arabic mathematical and scientific knowledge up to the seventeenth century. The first of five wide-ranging and comprehensive volumes, this book provides a detailed exploration of Arabic mathematics and sciences in the ninth and tenth centuries. Extensive and detailed analyses and annotations support a number of key Arabic texts, which are translated here into English for the first time. In this volume Rashed focuses on the traditions of celebrated polymaths from the ninth and tenth centuries 'School of Baghdad' - such as the Ban ︣Ms︣,́ Thb́it ibn Qurra, Ibrh́m̋ ibn Sinń, Ab ︣Jaþfar al-Khźin, Ab ︣Sahl Wayjan ibn Rustḿ al-Qh︣ ̋- and eleventh-century Andalusian mathematicians like Ab ︣al-Qśim ibn al-Samh, and al-Mu'taman ibn Hd︣. The Archimedean-Apollonian traditions of these polymaths are thematically explored to illustrate the historical and epistemological development of 'infinitesimal mathematics' as it became more clearly articulated in the eleventh-century influential legacy of al-Hasan ibn al-Haytham ('Alhazen'). 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, mathematicians at the most advanced levels of research"--Provided by publisher.
Author : Roshdi Rashed
Publisher : Routledge
Page : 814 pages
File Size : 54,8 Mb
Release : 2013-03-07
Category : History
ISBN : 9781136620003
In this unique insight into the history and philosophy of mathematics and science in the mediaeval Arab world, the eminent scholar Roshdi Rashed illuminates the various historical, textual and epistemic threads that underpinned the history of Arabic mathematical and scientific knowledge up to the seventeenth century. The first of five wide-ranging and comprehensive volumes, this book provides a detailed exploration of Arabic mathematics and sciences in the ninth and tenth centuries. Extensive and detailed analyses and annotations support a number of key Arabic texts, which are translated here into English for the first time. In this volume Rashed focuses on the traditions of celebrated polymaths from the ninth and tenth centuries ‘School of Baghdad’ - such as the Banū Mūsā, Thābit ibn Qurra, Ibrāhīm ibn Sinān, Abū Ja ́far al-Khāzin, Abū Sahl Wayjan ibn Rustām al-Qūhī - and eleventh-century Andalusian mathematicians like Abū al-Qāsim ibn al-Samh, and al-Mu’taman ibn Hūd. The Archimedean-Apollonian traditions of these polymaths are thematically explored to illustrate the historical and epistemological development of ‘infinitesimal mathematics’ as it became more clearly articulated in the eleventh-century influential legacy of al-Hasan ibn al-Haytham (‘Alhazen’). 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, mathematicians at the most advanced levels of research.
Author : J.L. Berggren
Publisher : Springer
Page : 210 pages
File Size : 41,7 Mb
Release : 2014-11-25
Category : Mathematics
ISBN : 9781461246084
This book presents episodes from the mathematics of medieval Islam, work which has had a great impact on the development of mathematics. The author describes the subject in its proper historical context, referring to specific Arabic texts. Among the topics discussed are decimal arithmetic, plane and spherical trigonometry, algebra, interpolation and approximation of roots of equations. This book should be of great interest to historians of mathematics, as well as to students of mathematics. The presentation is readily accessible to anyone with a background in high school mathematics.
Author : Roshdi Rashed
Publisher : Routledge
Page : 438 pages
File Size : 43,9 Mb
Release : 2013-05-02
Category : History
ISBN : 9781136191077
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 : Hoffmann
Publisher : Unknown
Page : 128 pages
File Size : 41,8 Mb
Release : 1994-11-01
Category : Electronic
ISBN : 0070293821
Author : Howard Leroy Rolf
Publisher : Thomson Brooks/Cole
Page : 888 pages
File Size : 40,8 Mb
Release : 2013-01-01
Category : Mathematics
ISBN : 1285084683
Get the background you need and discover the usefulness of mathematics in analyzing and solving problems with FINITE MATHEMATICS, 8E, International Edition. The author clearly explains concepts, and the computations demonstrate enough detail to allow you to follow and learn steps in the problem-solving process. Hundreds of examples and exercises, many based on real-world data, illustrate the practical applications of mathematical concepts. The book also includes technology guidelines to help you successfully use graphing calculators and Microsoft® Excel® to solve selected exercises.
Author : Anonim
Publisher : Unknown
Page : 308 pages
File Size : 52,9 Mb
Release : 1987
Category : Electronic
ISBN : OCLC:658790953
Author : Abe Mizrahi,Donna Marie Pirich
Publisher : Unknown
Page : 1056 pages
File Size : 47,6 Mb
Release : 1996-04
Category : Electronic
ISBN : 047115668X
Author : A.S. Saidan
Publisher : Springer
Page : 492 pages
File Size : 49,8 Mb
Release : 2011-10-13
Category : Science
ISBN : 9400997744
The purpose of presenting this book to the scholarly world is twofold. In the first place, I wish to provide for the English reader a translation of the earliest extant Arabic work of Hindi arithmetic. It shows this system at its earliest stages and the first steps in its development, a subject not yet well known except for readers of some Arabic publications by the present writer. This book is therefore of particular importance for students of the history of mathematical techniques. The medieval author, AI-UqHdisI, was, it seems, not noticed by bibliographers; neither was his work, which lay hardly noticed by modern scholars until 1960 when I happened to see a microfilm copy of it in the Institute of Arabic Manu scripts in Cairo. A steady labour immediately followed to make a comparative study of the text together with over twenty other texts, some of them not yet known to scholars. This pursuit resulted in (i) a doctoral degree awarded to me in 1966 by the University of Khartoum, (ii) the publication of several texts in Arabic including the text here translated, and (iii) the publication of several articles in Arabic and English on the history of arithmetic in the Middle Ages. The second purpose of this book is to make the main results of my study available to the English reader.
Author : Howard Anton,Bernard Kolman
Publisher : Unknown
Page : 760 pages
File Size : 53,7 Mb
Release : 1982
Category : Mathematics
ISBN : 0155029355