Euclid and His Twentieth Century Rivals: Diagrams in the Logic of Euclidean Geometry (Studies in the Theory and Applications of Diagrams)

Miller, Nathaniel

ISBN 10: 1575865084 / ISBN 13: 9781575865089

Verlag: Center for the Study of Language and Inf, 2007

Beschreibung

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Bestandsnummer des Verkäufers ZBV.1575865084.G

Bibliografische Details

• Titel: Euclid and His Twentieth Century Rivals: Diagrams in the Logic of Euclidean Geometry (Studies in the Theory and Applications of Diagrams)
• Verlag: Center for the Study of Language and Inf
• Erscheinungsjahr: 2007
• Sprache: Englisch
• ISBN-10: 1575865084
• ISBN-13: 9781575865089
• Einband: Softcover
• Zustand: good

Über diesen Titel

Inhaltsangabe

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. In "Euclid and His Twentieth-Century Rivals", Nathaniel Miller 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. 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.

Über die Autorin bzw. den Autor

Nathaniel Miller is assistant professor of mathematical sciences at the University of Northern Colorado.