Selected Essays on Pre- and Early Modern Mathematical Practice
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Part I: Main roads and odd cornersIntroductionOn Parts of Parts and Ascending Continued Fractions: An Investigation of the Origins and Spread of a Peculiar SystemA Note on Old Babylonian Computational TechniquesOn a Collection of Geometrical Riddles and Their Role in the Shaping of Four to Six AlgebrasMahaviras Geometrical Problems: Traces of Unknown Links between Jaina and Mediterranean Mathematics in the Classical AgesSanskrit-Prakrit Interaction in Elementary Mathematics as Reflected in Arabic and Italian Formulations of the Rule of Three - and Something More on the Rule ElsewhereGeometrical Patterns in the Pre-classical Greek Area: Prospecting the Borderland between Decoration, Art, and Structural InquiryBroad Lines - A Forgotten Geometrical AmbiguityConcerning the Position of Herons Formula in the Metrica (with a Platonic note)Heron, ps-Heron, and Near Eastern Practical Geometry: An Investigation of Metrica, Geometrica, and other TreatisesWhich Kind of Mathematics was Known and Referred to by Those Who Wanted to Integrate Mathemaitcs in Wisdom - Neopythagoreans and Others?The Rare Traces of Constructional Procedures in Practical GeometriesAbout the Italian Background to Rechenmeister MathematicsThe Unknown Heritage - Trace of a Forgotten Locus of Mathematical SophisticationA Diluted al-Karaji in Abbacus MathematicsProportions in and around the Italian Abbacus TraditionArchimedes - Knowledge and Lore from Latin Antiquity to the Outgoing European RenaissancePart II: Oblique glances and birds-eye viewsExistence, Sustainability, and Counterfactuality: Observations on the Status of Mathematics According to Aristotle, Euclid, and OthersConceptual Divergence - Cannons and Taboos - and CritiqueTertium non datur, or, On Reasoning Styles in Early MathematicsEmbedding - Multi-purpose Device for Understanding Mathematics and Its Development, or Empty Generalization?What is Geometric Algebra, and wWhat Has it Been in His
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