The History Of Mathematical Proof In Ancient Traditions PDF Download
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| Author | : Karine Chemla |
| Publisher | : Cambridge University Press |
| Total Pages | : |
| Release | : 2012-07-05 |
| Genre | : Philosophy |
| ISBN | : 1139510584 |
Download The History of Mathematical Proof in Ancient Traditions Book in PDF, ePub and Kindle
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 | : Karine Chemla |
| Publisher | : |
| Total Pages | : 614 |
| Release | : 2014-05-14 |
| Genre | : MATHEMATICS |
| ISBN | : 9781139518581 |
Download The History of Mathematical Proof in Ancient Traditions Book in PDF, ePub and Kindle
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 | : Bharath Sriraman |
| Publisher | : Springer Nature |
| Total Pages | : 3221 |
| Release | : |
| Genre | : |
| ISBN | : 3031408462 |
Download Handbook of the History and Philosophy of Mathematical Practice Book in PDF, ePub and Kindle
| Author | : Karine Chemla |
| Publisher | : Cambridge University Press |
| Total Pages | : |
| Release | : 2022-06-09 |
| Genre | : Political Science |
| ISBN | : 1108880932 |
Download Mathematical Commentaries in the Ancient World Book in PDF, ePub and Kindle
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 | : Reviel Netz |
| Publisher | : Cambridge University Press |
| Total Pages | : 906 |
| Release | : 2020-02-20 |
| Genre | : Literary Collections |
| ISBN | : 1108580092 |
Download Scale, Space and Canon in Ancient Literary Culture Book in PDF, ePub and Kindle
Greek culture matters because its unique pluralistic debate shaped modern discourses. This ground-breaking book explains this feature by retelling the history of ancient literary culture through the lenses of canon, space and scale. It proceeds from the invention of the performative 'author' in the archaic symposium through the 'polis of letters' enabled by Athenian democracy and into the Hellenistic era, where one's space mattered and culture became bifurcated between Athens and Alexandria. This duality was reconfigured into an eclectic variety consumed by Roman patrons and predicated on scale, with about a thousand authors active at any given moment. As patronage dried up in the third century CE, scale collapsed and literary culture was reduced to the teaching of a narrower field of authors, paving the way for the Middle Ages. The result is a new history of ancient culture which is sociological, quantitative, and all-encompassing, cutting through eras and genres.
| Author | : Agathe Keller |
| Publisher | : Springer Nature |
| Total Pages | : 582 |
| Release | : |
| Genre | : |
| ISBN | : 3031496175 |
Download Shaping the Sciences of the Ancient and Medieval World Book in PDF, ePub and Kindle
| Author | : Eleanor Robson |
| Publisher | : Oxford University Press on Demand |
| Total Pages | : 927 |
| Release | : 2009 |
| Genre | : History |
| ISBN | : 0199213127 |
Download The Oxford Handbook of the History of Mathematics Book in PDF, ePub and Kindle
This handbook explores the history of mathematics, addressing what mathematics has been and what it has meant to practise it. 36 self-contained chapters provide a fascinating overview of 5000 years of mathematics and its key cultures for academics in mathematics, historians of science, and general historians.
| Author | : |
| Publisher | : BRILL |
| Total Pages | : 633 |
| Release | : 2020-03-02 |
| Genre | : History |
| ISBN | : 9004423621 |
Download Powerful Arguments Book in PDF, ePub and Kindle
The essays in Powerful Arguments reconstruct the standards of validity underlying argumentative practices in a wide array of late imperial Chinese discourses, ranging from historiography, philosophy, law and religion to natural studies, literature, and the civil examination system.
| Author | : Catarina Dutilh Novaes |
| Publisher | : Cambridge University Press |
| Total Pages | : 287 |
| Release | : 2020-12-17 |
| Genre | : Computers |
| ISBN | : 110847988X |
Download The Dialogical Roots of Deduction Book in PDF, ePub and Kindle
The first comprehensive account of the concept and practices of deduction covering philosophy, history, cognition and mathematical practice.
| Author | : Alexander Karp |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 627 |
| Release | : 2014-01-25 |
| Genre | : Mathematics |
| ISBN | : 146149155X |
Download Handbook on the History of Mathematics Education Book in PDF, ePub and Kindle
This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and varied history of mathematics education has remained inaccessible to the vast majority of scholars, not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, however brief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the information they need about historical developments in mathematics education, not only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of the history of education in general, as well as specialists in cultural and even social history.
