Classical Mathematics from Al-Khwarizmi to Descartes

Classical Mathematics from Al-Khwarizmi to Descartes

Author: Roshdi Rashed

Publisher: Routledge

Published: 2014-08-21

Total Pages: 768

ISBN-13: 1317622391

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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.


Classical Mathematics from Al-Khwarizmi to Descartes

Classical Mathematics from Al-Khwarizmi to Descartes

Author: Rushdī Rāshid

Publisher: Routledge

Published: 2014

Total Pages: 749

ISBN-13: 9781315753867

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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.


Classical Mathematics from Al-Khwarizmi to Descartes

Classical Mathematics from Al-Khwarizmi to Descartes

Author: Roshdi Rashed

Publisher: Routledge

Published: 2014-08-21

Total Pages: 621

ISBN-13: 1317622383

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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.


The Development of Arabic Mathematics: Between Arithmetic and Algebra

The Development of Arabic Mathematics: Between Arithmetic and Algebra

Author: R. Rashed

Publisher: Springer Science & Business Media

Published: 2013-04-18

Total Pages: 392

ISBN-13: 9401732744

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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.


A History of Algebra

A History of Algebra

Author: Bartel L. van der Waerden

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 279

ISBN-13: 3642515991

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Al-Khwarizmi

Al-Khwarizmi

Author: Bridget Lim

Publisher: The Rosen Publishing Group, Inc

Published: 2016-07-15

Total Pages: 114

ISBN-13: 1508171440

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One of the elite scholars in Baghdad’s prestigious House of Wisdom, al-Khwarizmi is best remembered for his famous work Al-Jabr wa al-Muqabala, the text that defined the branch of mathematics known as algebra. He was also an accomplished astronomer and geographer. This fascinating biography describes in vivid detail the Islamic world’s Golden Age, a period during the Middle Ages when learning and scientific advancement were revered and honored. Readers will learn what is known of al-Khwarizmi’s life, as well as the pertinent history of both the Arab world and the fields of science in which al-Khwarzimi excelled.


The Philosophers and Mathematics

The Philosophers and Mathematics

Author: Hassan Tahiri

Publisher: Springer

Published: 2018-08-14

Total Pages: 357

ISBN-13: 3319937332

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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.


The Poetics of Ancient and Classical Arabic Literature

The Poetics of Ancient and Classical Arabic Literature

Author: Esad Durakovic

Publisher: Routledge

Published: 2015-04-24

Total Pages: 296

ISBN-13: 1317520491

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Through analysing ancient and classical Arabic literature, including the Qur'an, from within the Arabic literary tradition, this book provides an original interpretation of poetics, and of other important aspects of Arab culture. Ancient Arabic literature is a realm of poetry; prose literary forms emerged rather late, and even then remained in the shadow of poetic creative efforts. Traditionally, this literature has been viewed through a philologist’s lens and has often been represented as ‘materialistic’ in the sense that its poetry lacked imagination. As a result, Arabic poetry was often evaluated negatively in relation to other poetic traditions. The Poetics of Ancient and Classical Arabic Literature argues that old Arabic literature is remarkably coherent in poetical terms and has its own individuality, and that claims of its materialism arise from a failure to grasp the poetic principles of the Arabic tradition. Analysing the Qur’an, which is known for confronting the poetry of the time, this book reveals that "post Qur’anic" literature came to be defined against it. Thus, the constitution and interpretation of Arabic literature imposed itself as a particular exegesis of the sacred Text. Disputing traditional interpretations by arguing that Arabic literature can only be assessed from within, and not through comparison with other literary traditions, this book is of interest to students and scholars of Islamic Studies, Arabic Studies and Literary Studies.


Menelaus' ›Spherics‹

Menelaus' ›Spherics‹

Author: Roshdi Rashed

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2017-10-23

Total Pages: 888

ISBN-13: 3110571420

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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.