Books Iv To Vii Of Diophantus Arithmetica In The Arabic Translation Attributed To Qus Ibn L Q
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Books Iv To Vii Of Diophantus Arithmetica
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Author : Jacques Sesiano
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Books Iv To Vii Of Diophantus Arithmetica written by Jacques Sesiano and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This edition of Books IV to VII of Diophantus' Arithmetica, which are extant only in a recently discovered Arabic translation, is the outgrowth of a doctoral dissertation submitted to the Brown University Department of the History of Mathematics in May 1975. Early in 1973, my thesis adviser, Gerald Toomer, learned of the existence of this manuscript in A. Gulchln-i Macanl's just-published catalogue of the mathematical manuscripts in the Mashhad Shrine Library, and secured a photographic copy of it. In Sep tember 1973, he proposed that the study of it be the subject of my dissertation. Since limitations of time compelled us to decide on priorities, the first objective was to establish a critical text and to translate it. For this reason, the Arabic text and the English translation appear here virtually as they did in my thesis. Major changes, however, are found in the mathematical com mentary and, even more so, in the Arabic index. The discussion of Greek and Arabic interpolations is entirely new, as is the reconstruction of the history of the Arithmetica from Diophantine to Arabic times. It is with the deepest gratitude that I acknowledge my great debt to Gerald Toomer for his constant encouragement and invaluable assistance.
Books Iv To Vii Of Diophantus Arithmetica In The Arabic Translation Attributed To Qus Ibn L Q
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Author : Jacques Sesiano
language : en
Publisher:
Release Date : 1982-01-01
Books Iv To Vii Of Diophantus Arithmetica In The Arabic Translation Attributed To Qus Ibn L Q written by Jacques Sesiano and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-01-01 with Mathematics, Arab categories.
Books Iv To Vii Of Diophantus Arithmetica
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Author : Jacques Sesiano
language : en
Publisher:
Release Date : 1982-11-17
Books Iv To Vii Of Diophantus Arithmetica written by Jacques Sesiano and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-11-17 with categories.
The Oxford Handbook Of Science And Medicine In The Classical World
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Author : Paul Turquand Keyser
language : en
Publisher: Oxford University Press
Release Date : 2018
The Oxford Handbook Of Science And Medicine In The Classical World written by Paul Turquand Keyser and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with History categories.
With a focus on science in the ancient societies of Greece and Rome, including glimpses into Egypt, Mesopotamia, India and China, 'The Oxford Handbook of Science and Medicine in the Classical World' offers an in depth synthesis of science and medicine circa 650 BCE to 650 CE. 0The Handbook comprises five sections, each with a specific focus on ancient science and medicine. The Handbook provides through each of its approximately four dozen essays, a synthesis and synopsis of the concepts and models of the various ancient natural sciences, covering the early Greek era through the fall of the Roman Republic, including essays that explore topics such as music theory, ancient philosophers, astrology, and alchemy.
In Measure Number And Weight
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Author : Jens Høyrup
language : en
Publisher: SUNY Press
Release Date : 1994-01-01
In Measure Number And Weight written by Jens Høyrup and has been published by SUNY Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.
Jens Hoyrup, recognized as the leading authority in social studies of pre-modern mathematics, here provides a social study of the changing mode of mathematical thought through history. His "anthropology" of mathematics is a unique approach to its history, in which he examines its pursuit and development as conditioned by the wider social and cultural context. Hoyrup moves from comparing features of Sumero-Babylonian, Mesopotamian, Ancient Greek, and Latin Medieval mathematics, to examining the character of Islamic practitioners of mathematics. He also looks at the impact of ideologies and philosophy on mathematics from Latin High Middle ages through the late Renaissance. Finally, he examines modern and contemporary mathematics, drawing out recurring themes in mathematical knowledge.
The Logical Syntax Of Greek Mathematics
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Author : Fabio Acerbi
language : en
Publisher: Springer Nature
Release Date : 2021-06-21
The Logical Syntax Of Greek Mathematics written by Fabio Acerbi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-21 with Mathematics categories.
The aim of this monograph is to describe Greek mathematics as a literary product, studying its style from a logico-syntactic point of view and setting parallels with logical and grammatical doctrines developed in antiquity. In this way, major philosophical themes such as the expression of mathematical generality and the selection of criteria of validity for arguments can be treated without anachronism. Thus, the book is of interest for both historians of ancient philosophy and specialists in Ancient Greek, in addition to historians of mathematics. This volume is divided into five parts, ordered in decreasing size of the linguistic units involved. The first part describes the three stylistic codes of Greek mathematics; the second expounds in detail the mechanism of "validation"; the third deals with the status of mathematical objects and the problem of mathematical generality; the fourth analyzes the main features of the "deductive machine," i.e. the suprasentential logical system dictated by the traditional division of a mathematical proposition into enunciation, setting-out, construction, and proof; and the fifth deals with the sentential logical system of a mathematical proposition, with special emphasis on quantification, modalities, and connectors. A number of complementary appendices are included as well.
Travelling Mathematics The Fate Of Diophantos Arithmetic
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Author : Ad Meskens
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-24
Travelling Mathematics The Fate Of Diophantos Arithmetic written by Ad Meskens and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-24 with Mathematics categories.
In this book the author presents a comprehensive study of Diophantos’ monumental work known as Arithmetika, a highly acclaimed and unique set of books within the known Greek mathematical corpus. Its author, Diophantos, is an enigmatic figure of whom we know virtually nothing. Starting with Egyptian, Babylonian and early Greek mathematics the author paints a picture of the sources the Arithmetika may have had. Life in Alexandria, where Diophantos lived, is described and, on the basis of the limited available evidence, his biography is outlined. Of Arithmetika’s 13 books only 6 survive in Greek. It was not until 1971 that these were complemented by the discovery of 4 other books in an Arab translation. This allows the author to describe the structure, the contents and the mathematics of the Arithmetika in detail. Furthermore it is shown that Diophantos had a remarkable skill to solve higher degree equations. In the second part, the author draws our attention to the survival of Diophantos’ work in both Arab and European mathematical cultures. Once Xylander’s critical 1575 edition reached its European public, the fame of the Arithmetika grew. It was studied, translated and modified by such authors as Bombelli, Stevin and Viète. It reached its pinnacle of fame in 1621 with the publication of Bachet’s translation into Latin. The marginal notes by Fermat in his copy of Diophantos, including his famous “Last Theorem”, were the starting point of a whole new research subject: the theory of numbers.
The Arithmetica Of Diophantus
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Author : Jean Christianidis
language : en
Publisher: Taylor & Francis
Release Date : 2022-11-01
The Arithmetica Of Diophantus written by Jean Christianidis and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-01 with History categories.
This volume offers an English translation of all ten extant books of Diophantus of Alexandria’s Arithmetica, along with a comprehensive conceptual, historical, and mathematical commentary. Before his work became the inspiration for the emerging field of number theory in the seventeenth century, Diophantus (ca. 3rd c. CE) was known primarily as an algebraist. This volume explains how his method of solving arithmetical problems agrees both conceptually and procedurally with the premodern algebra later practiced in Arabic, Latin, and European vernaculars, and how this algebra differs radically from the modern algebra initiated by François Viète and René Descartes. It also discusses other surviving traces of ancient Greek algebra and follows the influence of the Arithmetica in medieval Islam, Byzantium, and the European Renaissance down to the 1621 publication of Claude-Gaspard Bachet’s edition. After the English translation the book provides a problem-by-problem commentary explaining the solutions in a manner compatible with Diophantus’s mode of thought. The Arithmetica of Diophantus provides an invaluable resource for historians of mathematics, science, and technology, as well as those studying ancient Greek, medieval Islamic and Byzantine, and Renaissance history. In addition, the volume is also suitable for mathematicians and mathematics educators.
Archives Internationales D Histoire Des Sciences
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Author :
language : en
Publisher:
Release Date : 2010
Archives Internationales D Histoire Des Sciences written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.
Les Arithm Tiques De Diophante
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Author : Roshdi Rashed
language : fr
Publisher: Walter de Gruyter
Release Date : 2013-11-27
Les Arithm Tiques De Diophante written by Roshdi Rashed and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Science categories.
Until recently, only six of thirteen books comprising Diophantus’ Arithmetica were known to us. Four other books in an Arabic translation have been discovered recently. We can now understand the organization of this work and its long-lasting impact on mathematics. The present book offers the first historical and mathematical study of the work as it has survived in ten books.