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Selected Essays on Pre- and Early Modern Mathematical Practice
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Abstract
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Suggested Citation
DOI: 10.1007/978-3-030-19258-7
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Book Chapters
The following chapters of this book are listed in IDEAS- Jens Høyrup, 2019. "Introduction," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 3-30, Springer.
- Jens Høyrup, 2019. "(Article I.1.) On Parts of Parts and Ascending Continued Fractions: An Investigation of the Origins and Spread of a Peculiar System," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 31-57, Springer.
- Jens Høyrup, 2019. "(Article I.2.) A Note on Old Babylonian Computational Techniques," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 59-66, Springer.
- Jens Høyrup, 2019. "(Article I.3.) On a Collection of Geometrical Riddles and Their Role in the Shaping of Four to Six “Algebras”," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 67-116, Springer.
- Jens Høyrup, 2019. "(Article I.4.) Mahāvīra’s Geometrical Problems Traces of Unknown Links between Jaina and Mediterranean Mathematics in the Classical Ages," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 117-129, Springer.
- Jens Høyrup, 2019. "(Article I.5.) Sanskrit-Prakrit Interaction in Elementary Mathematics as Reflected in Arabic and Italian Formulations of the Rule of Three – And Something More on the Rule Elsewhere," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 131-156, Springer.
- Jens Høyrup, 2019. "(Article I.6.) Geometrical Patterns in the Pre-Classical Greek Area," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 157-205, Springer.
- Jens Høyrup, 2019. "(Article I.7.) Broad Lines – A Forgotten Geometrical Ambiguity," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 207-218, Springer.
- Jens Høyrup, 2019. "(Article I.8.) Concerning the Position of ‘‘Heron’s Formula’’ in the Metrica (With a Platonic Note)," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 219-228, Springer.
- Jens Høyrup, 2019. "(Article I.9.) Heron, Ps-Heron, and near Eastern Practical Geometry an Investigation of Metrica, Geometrica, and other Treatises," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 229-255, Springer.
- Jens Høyrup, 2019. "(Article I.10.) Which Kind of Mathematics was Known and Referred to by those who wanted to Integrate Mathematics in Wisdom – Neopythagoreans and Others?," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 257-278, Springer.
- Jens Høyrup, 2019. "(Article I.11.) The Rare Traces of Constructional Procedures in “Practical Geometries”," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 279-290, Springer.
- Jens Høyrup, 2019. "(Article I.12.) About the Italian Background to Rechenmeister Mathematics," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 291-345, Springer.
- Jens Høyrup, 2019. "(Article I.13.) The “Unknown Heritage” – Trace of a Forgotten Locus of Mathematical Sophistication," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 347-395, Springer.
- Jens Høyrup, 2019. "(Article I.14.) A Diluted Al-Karajī In Abbacus Mathematics," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 397-407, Springer.
- Jens Høyrup, 2019. "(Article I.15.) “Proportions” in and around the Italian Abbacus Tradition," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 409-457, Springer.
- Jens Høyrup, 2019. "(Article I.16.) Archimedes – Knowledge and Lore from Latin Antiquity to the Outgoing European Renaissance," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 459-477, Springer.
- Jens Høyrup, 2019. "(Article II.1.) Existence, Substantiality, and Counterfactuality Observations on the Status of Mathematics according to Aristotle, Euclid, and Others," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 481-509, Springer.
- Jens Høyrup, 2019. "(Article II.2.) Conceptual Divergence – Canons and Taboos – And Critique," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 511-535, Springer.
- Jens Høyrup, 2019. "(Article II.3.) Tertium Non Datur, or, on Reasoning Styles in Early Mathematics," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 537-563, Springer.
- Jens Høyrup, 2019. "(Article II.4.) Embedding – Multi-purpose Device for Understanding Mathematics and its Development, or Empty Generalization?," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 565-590, Springer.
- Jens Høyrup, 2019. "(Article II.5.) What is “Geometric Algebra”, and what has it been in Historiography?," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 591-631, Springer.
- Jens Høyrup, 2019. "(Article II.6.) State, “Justice”, Scribal Culture and Mathematics in Ancient Mesopotamia. Sarton Lecture 2008," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 633-660, Springer.
- Jens Høyrup, 2019. "(Article II.7.) How to Educate a KAPO Reflections on the Absence of a Culture of Mathematical Problems in Ur III," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 661-688, Springer.
- Jens Høyrup, 2019. "(Article II.8.) A Hypothetical History of Old Babylonian Mathematics − Places, Passages, Stages, Development," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 689-709, Springer.
- Jens Høyrup, 2019. "(Article II.9.) Written Mathematical Traditions in Ancient Mesopotamia Knowledge, Ignorance, and Reasonable Guesses," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 711-737, Springer.
- Jens Høyrup, 2019. "(Article II.10.) Mesopotamian Mathematics, Seen “From The Inside” (By Assyriologists) and “From The Outside” (By Historians of Mathematics)," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 739-769, Springer.
- Jens Høyrup, 2019. "(Article II.11.) Fibonacci - Protagonist or Witness? who Taught Catholic Christian Europe about Mediterranean Commercial Arithmetic?," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 771-794, Springer.
- Jens Høyrup, 2019. "(Article II.12.) What did the Abbacus Teachers Aim at when they (sometimes) Ended Up doing Mathematics?," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 795-822, Springer.
- Jens Høyrup, 2019. "(Article II.13.) Hesitating Progress–The Slow Development Toward Algebraic Symbolization in Abbacus - and Related Manuscripts, C. 1300 to C. 1550," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 823-876, Springer.
- Jens Høyrup, 2019. "(Article II.14.) Embedding – Another Case of Stumbling Progress," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 877-910, Springer.
- Jens Høyrup, 2019. "(Article II.15.) Baroque Mind-set and New Science a Dialectic of 17th-Century High Culture Sarton Chair Lecture, Ghent University, 13 November 2008," Springer Books, in: Selected Essays on Pre- and Early Modern Mathematical Practice, chapter 0, pages 911-933, Springer.
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