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OverviewThis volume explores how mathematical propositions are discovered, how they are demonstrated in various mathematical cultures - ancient Greece, classical Islam, medieval and modern Europe, India, China, and pre-modern Japan - and how they are shaped in texts and stylistic traditions.The geographic range is not restricted simply to Europe and the method of demonstration is not limited to the axiomatic method, which is thought to have emerged in ancient Greece. Topics of the discussions include the visual and axiomatic modes of reasoning in ancient Greece, algebraic demonstrations in classical Islam, algorithmic procedures in India and China, demonstrations and counter-arguments in mathematical analysis in modern Europe, and reasoning by induction in ancient Greece and pre-modern Japanese mathematics (Wasan). The studies also extend to arguments and demonstrations beyond 'pure mathematics' in the field of mathematical sciences, e.g., hydrostatics, optics, etc.; and include discussions of philosophical and methodological views on demonstration and the nature of mathematical objects, as well as comparative approaches to proof and demonstration in Eastern and Western mathematics.This unique volume is an up-to-date essential resource for historians and philosophers of mathematics. It is also suitable reading for specialists in mathematics education and comparative East-West studies, and dedicated to the topics of discoveries and proofs in a range of historical and cultural settings. Full Product DetailsAuthor: Ioannis M Vandoulakis (The Hellenic Open Univ, Greece) , Dun Liu (Chinese Academy Of Sciences, China)Publisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd ISBN: 9789814689366ISBN 10: 981468936 Pages: 600 Publication Date: 29 February 2024 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Forthcoming Availability: Not yet available This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |