Mathematical Commentaries In The Ancient World


Mathematical Commentaries In The Ancient World
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Mathematical Commentaries In The Ancient World


Mathematical Commentaries In The Ancient World
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Author : Karine Chemla
language : en
Publisher: Cambridge University Press
Release Date : 2022-06-09

Mathematical Commentaries In The Ancient World written by Karine Chemla and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-09 with History categories.


Comparative analysis of the techniques and procedures of important mathematical commentaries in five ancient cultures from China to Greece.



Mathematical Thought From Ancient To Modern Times Volume 1


Mathematical Thought From Ancient To Modern Times Volume 1
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Author : Morris Kline
language : en
Publisher: Oxford University Press
Release Date : 1990-08-16

Mathematical Thought From Ancient To Modern Times Volume 1 written by Morris Kline 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 1990-08-16 with Mathematics categories.


Traces the development of mathematics from its beginnings in Babylonia and ancient Egypt to the work of Riemann and Godel in modern times.



The Arithmetica Of Diophantus


The Arithmetica Of Diophantus
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Author : Jean Christianidis
language : en
Publisher: Routledge
Release Date : 2022-11

The Arithmetica Of Diophantus written by Jean Christianidis and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11 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 Franðcois Viáete and Renâe 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 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"--



The History Of Mathematical Proof In Ancient Traditions


The History Of Mathematical Proof In Ancient Traditions
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Author : Karine Chemla
language : en
Publisher: Cambridge University Press
Release Date : 2012-07-05

The History Of Mathematical Proof In Ancient Traditions written by Karine Chemla and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-05 with Philosophy categories.


This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.



Manuscripts And Performances In Religions Arts And Sciences


Manuscripts And Performances In Religions Arts And Sciences
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Author : Antonella Brita, Janina Karolewski, Matthieu Husson, Laure Miolo, Hanna Wimmer
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-12-04

Manuscripts And Performances In Religions Arts And Sciences written by Antonella Brita, Janina Karolewski, Matthieu Husson, Laure Miolo, Hanna Wimmer and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-04 with categories.




Cultures Of Computation And Quantification In The Ancient World


Cultures Of Computation And Quantification In The Ancient World
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Author : Karine Chemla
language : en
Publisher: Springer Nature
Release Date : 2023-01-01

Cultures Of Computation And Quantification In The Ancient World written by Karine Chemla and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Science categories.


This book sheds light on the variety of mathematical cultures in general. To do so, it concentrates on cultures of computation and quantification in the ancient world, mainly in ancient China, South Asia, and the Ancient Near East and offers case studies focused on numbers, quantities, and operations, in particular in relation to mathematics as well as administrative and economic activities. The various chapters focus on the different ways and contexts of shaping numbers and quantities, and on the procedures applied to them. The book places special emphasis on the processes of emergence of place-value number systems, evidenced in the three geographical areas under study All these features yield essential elements that will enable historians of mathematics to further capture the diversity of computation practices in their contexts, whereas previous historical approaches have tended to emphasize elements that displayed uniformity within “civilizational” blocks. The book includes editions and translations of texts, some of them published here for the first time, maps, and conventions for editions of ancient texts. It thereby offers primary sources and methodological tools for teaching and learning. The volume is aimed at historians and philosophers of science and mathematics, historians of the ancient worlds, historians of economics, sinologists, indologists, assyriologists, as well as undergraduate, graduate students and teachers in mathematics, the history and philosophy of science and mathematics, and in the history of ancient worlds.



The Philosophical And Mathematical Commentaries Of Proclus On The First Book Of Euclid S Elements


The Philosophical And Mathematical Commentaries Of Proclus On The First Book Of Euclid S Elements
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Author : Marinus
language : en
Publisher: Palala Press
Release Date : 2015-11-15

The Philosophical And Mathematical Commentaries Of Proclus On The First Book Of Euclid S Elements written by Marinus and has been published by Palala Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-15 with categories.


This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.



The Oxford Handbook Of Science And Medicine In The Classical World


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.



A History Of Greek Mathematics Volume Ii


A History Of Greek Mathematics Volume Ii
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Author : Sir Thomas Heath
language : en
Publisher: Courier Corporation
Release Date : 2013-09-16

A History Of Greek Mathematics Volume Ii written by Sir Thomas Heath and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-16 with Mathematics categories.


Volume 2 of an authoritative two-volume set that covers the essentials of mathematics and features every landmark innovation and every important figure, including Euclid, Apollonius, and others.



Mathematics And Measurement


Mathematics And Measurement
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Author : O. A. Dilke
language : en
Publisher: Univ of California Press
Release Date : 1987-01-01

Mathematics And Measurement written by O. A. Dilke and has been published by Univ of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Science categories.


Describes the systems of mathematics and measurement used in the ancient world and discusses the influence of ancient mathematics on later science