Twentieth-century developments in logic and mathematics have led many people to view Euclid's proofs as inherently informal, especially due to the use of diagrams in proofs. In Euclid and His Twentieth-Century Rivals, Nathaniel Miller discusses the history of diagrams in Euclidean Geometry, develops a formal system for working with them, and concludes that they can indeed be used rigorously. Miller also introduces a diagrammatic computer proof system, based on this formal system. This volume will be of interest to mathematicians, computer scientists, and anyone interested in the use of diagrams in geometry.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Nathaniel Miller is assistant professor of mathematical sciences at the University of Northern Colorado.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Etat : New. Twentieth-century developments in logic and mathematics have led many people to view Euclid's proofs as inherently informal, especially due to his use of diagrams. This work discusses the history of such diagrams in Euclidean geometry, develops a formal system for working with them, and concludes that they can indeed be used rigorously. Series: CLSI - Studies in the Theory and Applications of Diagrams. Num Pages: 120 pages, Illustrations. BIC Classification: PBMH. Category: (P) Professional & Vocational. Dimension: 230 x 156 x 10. Weight in Grams: 208. . 2007. Illustrated. paperback. . . . . N° de réf. du vendeur V9781575865089
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Etat : New. Twentieth-century developments in logic and mathematics have led many people to view Euclid's proofs as inherently informal, especially due to his use of diagrams. This work discusses the history of such diagrams in Euclidean geometry, develops a formal system for working with them, and concludes that they can indeed be used rigorously. Series: CLSI - Studies in the Theory and Applications of Diagrams. Num Pages: 120 pages, Illustrations. BIC Classification: PBMH. Category: (P) Professional & Vocational. Dimension: 230 x 156 x 10. Weight in Grams: 208. . 2007. Illustrated. paperback. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9781575865089
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