Selected Essays on Pre- and Early Modern Mathematical Practice
Jens Høyrup ()
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Jens Høyrup: Roskilde University, Section for Philosophy and Science Studies
in Springer Books from Springer
Date: 2019
ISBN: 978-3-030-19258-7
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Chapters in this book:
- Ch Chapter 1 Introduction
- Jens Høyrup
- Ch Chapter 10 (Article I.9.) Heron, Ps-Heron, and near Eastern Practical Geometry an Investigation of Metrica, Geometrica, and other Treatises
- Jens Høyrup
- Ch Chapter 11 (Article I.10.) Which Kind of Mathematics was Known and Referred to by those who wanted to Integrate Mathematics in Wisdom – Neopythagoreans and Others?
- Jens Høyrup
- Ch Chapter 12 (Article I.11.) The Rare Traces of Constructional Procedures in “Practical Geometries”
- Jens Høyrup
- Ch Chapter 13 (Article I.12.) About the Italian Background to Rechenmeister Mathematics
- Jens Høyrup
- Ch Chapter 14 (Article I.13.) The “Unknown Heritage” – Trace of a Forgotten Locus of Mathematical Sophistication
- Jens Høyrup
- Ch Chapter 15 (Article I.14.) A Diluted Al-Karajī In Abbacus Mathematics
- Jens Høyrup
- Ch Chapter 16 (Article I.15.) “Proportions” in and around the Italian Abbacus Tradition
- Jens Høyrup
- Ch Chapter 17 (Article I.16.) Archimedes – Knowledge and Lore from Latin Antiquity to the Outgoing European Renaissance
- Jens Høyrup
- Ch Chapter 18 (Article II.1.) Existence, Substantiality, and Counterfactuality Observations on the Status of Mathematics according to Aristotle, Euclid, and Others
- Jens Høyrup
- Ch Chapter 19 (Article II.2.) Conceptual Divergence – Canons and Taboos – And Critique
- Jens Høyrup
- Ch Chapter 2 (Article I.1.) On Parts of Parts and Ascending Continued Fractions: An Investigation of the Origins and Spread of a Peculiar System
- Jens Høyrup
- Ch Chapter 20 (Article II.3.) Tertium Non Datur, or, on Reasoning Styles in Early Mathematics
- Jens Høyrup
- Ch Chapter 21 (Article II.4.) Embedding – Multi-purpose Device for Understanding Mathematics and its Development, or Empty Generalization?
- Jens Høyrup
- Ch Chapter 22 (Article II.5.) What is “Geometric Algebra”, and what has it been in Historiography?
- Jens Høyrup
- Ch Chapter 23 (Article II.6.) State, “Justice”, Scribal Culture and Mathematics in Ancient Mesopotamia. Sarton Lecture 2008
- Jens Høyrup
- Ch Chapter 24 (Article II.7.) How to Educate a KAPO Reflections on the Absence of a Culture of Mathematical Problems in Ur III
- Jens Høyrup
- Ch Chapter 25 (Article II.8.) A Hypothetical History of Old Babylonian Mathematics − Places, Passages, Stages, Development
- Jens Høyrup
- Ch Chapter 26 (Article II.9.) Written Mathematical Traditions in Ancient Mesopotamia Knowledge, Ignorance, and Reasonable Guesses
- Jens Høyrup
- Ch Chapter 27 (Article II.10.) Mesopotamian Mathematics, Seen “From The Inside” (By Assyriologists) and “From The Outside” (By Historians of Mathematics)
- Jens Høyrup
- Ch Chapter 28 (Article II.11.) Fibonacci - Protagonist or Witness? who Taught Catholic Christian Europe about Mediterranean Commercial Arithmetic?
- Jens Høyrup
- Ch Chapter 29 (Article II.12.) What did the Abbacus Teachers Aim at when they (sometimes) Ended Up doing Mathematics?
- Jens Høyrup
- Ch Chapter 3 (Article I.2.) A Note on Old Babylonian Computational Techniques
- Jens Høyrup
- Ch Chapter 30 (Article II.13.) Hesitating Progress–The Slow Development Toward Algebraic Symbolization in Abbacus - and Related Manuscripts, C. 1300 to C. 1550
- Jens Høyrup
- Ch Chapter 31 (Article II.14.) Embedding – Another Case of Stumbling Progress
- Jens Høyrup
- Ch Chapter 32 (Article II.15.) Baroque Mind-set and New Science a Dialectic of 17th-Century High Culture Sarton Chair Lecture, Ghent University, 13 November 2008
- Jens Høyrup
- Ch Chapter 4 (Article I.3.) On a Collection of Geometrical Riddles and Their Role in the Shaping of Four to Six “Algebras”
- Jens Høyrup
- Ch Chapter 5 (Article I.4.) Mahāvīra’s Geometrical Problems Traces of Unknown Links between Jaina and Mediterranean Mathematics in the Classical Ages
- Jens Høyrup
- Ch Chapter 6 (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
- Jens Høyrup
- Ch Chapter 7 (Article I.6.) Geometrical Patterns in the Pre-Classical Greek Area
- Jens Høyrup
- Ch Chapter 8 (Article I.7.) Broad Lines – A Forgotten Geometrical Ambiguity
- Jens Høyrup
- Ch Chapter 9 (Article I.8.) Concerning the Position of ‘‘Heron’s Formula’’ in the Metrica (With a Platonic Note)
- Jens Høyrup
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DOI: 10.1007/978-3-030-19258-7
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