Mathematical Commentaries In The Ancient World

Author : Karine Chemla
Publisher : Cambridge University Press
ISBN 13 : 1108839576
Total Pages : 475 pages
Book Rating : 4.70/5 ( download)

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Download or read book Mathematical Commentaries in the Ancient World written by Karine Chemla and published by Cambridge University Press. This book was released on 2022-06-09 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comparative analysis of the techniques and procedures of important mathematical commentaries in five ancient cultures from China to Greece.

Author : Karine Chemla
Publisher : Cambridge University Press
ISBN 13 : 1108880932
Total Pages : pages
Book Rating : 4.30/5 ( download)

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Download or read book Mathematical Commentaries in the Ancient World written by Karine Chemla and published by Cambridge University Press. This book was released on 2022-06-09 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book-length analysis of the techniques and procedures of ancient mathematical commentaries. It focuses on examples in Chinese, Sanskrit, Akkadian and Sumerian, and Ancient Greek, presenting the general issues by constant detailed reference to these commentaries, of which substantial extracts are included in the original languages and in translation, sometimes for the first time. This makes the issues accessible to readers without specialized training in mathematics or in the languages involved. The result is a much richer understanding than was hitherto possible of the crucial role of commentaries in the history of mathematics in four different linguistic areas, of the nature of mathematical commentaries in general, of the contribution that the study of mathematical commentaries can make to the history of science and to the study of commentaries in general, and of the ways in which mathematical commentaries are like and unlike other kinds of commentaries.

Author : Karine Chemla
Publisher : Springer Nature
ISBN 13 : 3030983617
Total Pages : 764 pages
Book Rating : 4.11/5 ( download)

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Download or read book Cultures of Computation and Quantification in the Ancient World written by Karine Chemla and published by Springer Nature. This book was released on 2023-01-01 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Karine Chemla
Publisher : Cambridge University Press
ISBN 13 : 1139510584
Total Pages : pages
Book Rating : 4.85/5 ( download)

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Download or read book The History of Mathematical Proof in Ancient Traditions written by Karine Chemla and published by Cambridge University Press. This book was released on 2012-07-05 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Victor J. Katz
Publisher : Princeton University Press
ISBN 13 : 0691202818
Total Pages : 720 pages
Book Rating : 4.15/5 ( download)

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Download or read book Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean written by Victor J. Katz and published by Princeton University Press. This book was released on 2024-09-17 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In recent decades, there has been extensive research on Greek mathematics that has considerably enlarged the scope of this area of inquiry. Traditionally, "Greek mathematics" has referred to the axiomatic work of Archimedes, Apollonius, and others in the first three centuries BCE. However, there is a wide body of mathematical work that appeared in the eastern Mediterranean during the time it was under Greek influence (from approximately 400 BCE to 600 CE), which remains under-explored in the existing scholarship. This sourcebook provides an updated look at Greek mathematics, bringing together classic Greek texts with material from lesser-known authors, as well as newly uncovered texts that have been omitted in previous scholarship. The book adopts a broad scope in defining mathematical practice, and as such, includes fields such as music, optics, and architecture. It includes important sources written in languages other than Greek in the eastern Mediterranean area during the period from 400 BCE to 600 CE, which show some influence from Greek culture. It also includes passages that highlight the important role mathematics played in philosophy, pedagogy, and popular culture. The book is organized topically; chapters include arithmetic, plane geometry, astronomy, and philosophy, literature, and education. Within each chapter, the (translated) texts are organized chronologically. The book weaves together ancient commentary on classic Greek works with the works themselves to show how the understanding of mathematical ideas changed over the centuries"--

Author : Antonella Brita, Janina Karolewski, Matthieu Husson, Laure Miolo, Hanna Wimmer
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311134388X
Total Pages : 507 pages
Book Rating : 4.84/5 ( download)

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Download or read book Manuscripts and Performances in Religions, Arts, and Sciences written by Antonella Brita, Janina Karolewski, Matthieu Husson, Laure Miolo, Hanna Wimmer and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-12-04 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Marinus
Publisher : Palala Press
ISBN 13 : 9781346365695
Total Pages : 452 pages
Book Rating : 4.95/5 ( download)

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Download or read book The Philosophical and Mathematical Commentaries of Proclus on the First Book of Euclid's Elements written by Marinus and published by Palala Press. This book was released on 2015-11-15 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Paul Turquand Keyser
Publisher : Oxford University Press
ISBN 13 : 0199734143
Total Pages : 1065 pages
Book Rating : 4.46/5 ( download)

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Download or read book The Oxford Handbook of Science and Medicine in the Classical World written by Paul Turquand Keyser and published by Oxford University Press. This book was released on 2018 with total page 1065 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Sir Thomas Heath
Publisher : Courier Corporation
ISBN 13 : 0486162656
Total Pages : 608 pages
Book Rating : 4.52/5 ( download)

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Download or read book A History of Greek Mathematics, Volume II written by Sir Thomas Heath and published by Courier Corporation. This book was released on 2013-09-16 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Jacob Klein
Publisher : Courier Corporation
ISBN 13 : 0486319814
Total Pages : 246 pages
Book Rating : 4.10/5 ( download)

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Download or read book Greek Mathematical Thought and the Origin of Algebra written by Jacob Klein and published by Courier Corporation. This book was released on 2013-04-22 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.