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The history of mathematical proof in ancient traditions / edited by Karine Chemla
Production, publication, distribution, manufacture, copyright Cambridge : Cambridge University Press, 2012
book jacket
Location Call Number Status
 4th Floor  QA22 .H588 2012    AVAILABLE
Subject(s) Mathematics, Ancient
Proof theory
Physical Description xv, 596 pages : illustrations ; 25 cm
Note Includes bibliographical references and index
NOTE cat 20120828 cjk UPB
Contents Prologue: Historiography and history of mathematical proof: a research programme / Karine Chemla -- Part I: Views on the historiography of mathematical proof: -- Shaping ancient Greek mathematics: the critical editions of Greek texts in the nineteenth century -- The Euclidean ideal of proof in The Elements and philological uncertainties of Heiberg's edition of the text / Bernard Vitrac -- Diagrams and arguments in ancient Greek mathematics: lessons drawn from comparisons of the manuscript diagrams with those in modern critical editions / Ken Saito and Nathan Sidoli -- The texture of Archimedes' writings: through Heiberg's veil / Reviel Netz -- John Philoponus and the conformity of mathematical proofs to Aristotelian demonstrations / Orna Harari -- Contextualizing Playfair and Colebrooke on proof and demonstration in the Indian mathematical tradition (1780-1820) / Dhruv Raina -- Overlooking mathematical justification in the Sanskrit tradition: the nuanced case of G.E.W. Thibaut / Agathe Keller -- The logical Greek versus the imaginative Oriental: on the historiography of 'non-Western' mathematics during the period 1820-1920 / François Charette
Note Part II: History of mathematical proof in ancient traditions: the other evidence: critical approaches to Greek practices of proof -- The pluralism of Greek 'mathematics' / G.E.R. Lloyd -- Proving with numbers in Greece -- Generalizing about polygonal numbers in ancient Greek mathematics / Ian Mueller -- Reasoning and symbolism in Diophantus preliminary observations / Reviel Netz -- Proving with numbers: establishing the correctness of algorithms -- Mathematical justification as non-conceptualized practice: the Babylonian example / Jens Hoyrup -- Interpretation of reverse algorithms in several Mesopotamian texts / Christine Proust -- Reading proofs in Chinese commentaries: algebraic proofs in an algorithmic context / Karine Chemla -- Dispelling mathematical doubts: assessing mathematical correctness of algorithms in Bhāskara's commentary on the mathematical chapter of the Āryabhaṭīya / Agathe Keller -- The later persistence of traditions of proving in Asia: late evidence of traditions of proof -- Argumentation for state examinations: demonstrations in traditional Chinese and Vietnamese mathematics / Alexei Volkov -- The later persistence of traditions of proving in Asia: interactions of various traditions -- A formal system of the Gougu method: a study on Li Rui's: detailed outline of mathematical procedures for the right-angled triangle / Tian Miao
NOTE 530494
Alternate Author Chemla, Karine

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