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Selected Essays on Pre- and Early Modern Mathematical Practice

  • Book
  • © 2019

Overview

Authors:
  1. Jens Høyrup

    1. Section for Philosophy and Science Studies, Roskilde University, Roskilde, Denmark

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  • Includes a collection of articles from a leading scholar of the history of mathematics

  • Presents English versions of articles previously only published in Italian or German

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Table of contents (32 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Main Roads and Odd Corners

    1. Front Matter

      Pages 1-1
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    2. Introduction

      • Jens Høyrup
      Pages 3-30

    3. (Article I.1.) On Parts of Parts and Ascending Continued Fractions: An Investigation of the Origins and Spread of a Peculiar System

      • Jens Høyrup
      Pages 31-57

    4. (Article I.2.) A Note on Old Babylonian Computational Techniques

      • Jens Høyrup
      Pages 59-66

    5. (Article I.3.) On a Collection of Geometrical Riddles and Their Role in the Shaping of Four to Six “Algebras”

      • Jens Høyrup
      Pages 67-116

    6. (Article I.4.) Mahāvīra’s Geometrical Problems Traces of Unknown Links between Jaina and Mediterranean Mathematics in the Classical Ages

      • Jens Høyrup
      Pages 117-129

    7. (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
      Pages 131-156

    8. (Article I.6.) Geometrical Patterns in the Pre-Classical Greek Area

      • Jens Høyrup
      Pages 157-205

    9. (Article I.7.) Broad Lines – A Forgotten Geometrical Ambiguity

      • Jens Høyrup
      Pages 207-218

    10. (Article I.8.) Concerning the Position of ‘‘Heron’s Formula’’ in the Metrica (With a Platonic Note)

      • Jens Høyrup
      Pages 219-228

    11. (Article I.9.) Heron, Ps-Heron, and near Eastern Practical Geometry an Investigation of Metrica, Geometrica, and other Treatises

      • Jens Høyrup
      Pages 229-255

    12. (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
      Pages 257-278

    13. (Article I.11.) The Rare Traces of Constructional Procedures in “Practical Geometries”

      • Jens Høyrup
      Pages 279-290

    14. (Article I.12.) About the Italian Background to Rechenmeister Mathematics

      • Jens Høyrup
      Pages 291-345

    15. (Article I.13.) The “Unknown Heritage” – Trace of a Forgotten Locus of Mathematical Sophistication

      • Jens Høyrup
      Pages 347-395

    16. (Article I.14.) A Diluted Al-Karajī In Abbacus Mathematics

      • Jens Høyrup
      Pages 397-407

    17. (Article I.15.) “Proportions” in and around the Italian Abbacus Tradition

      • Jens Høyrup
      Pages 409-457

    18. (Article I.16.) Archimedes – Knowledge and Lore from Latin Antiquity to the Outgoing European Renaissance

      • Jens Høyrup
      Pages 459-477

  3. Oblique Glances and Birds-Eye Views

    1. Front Matter

      Pages 479-479
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Keywords

About this book

This book presents a broad selection of articles mainly published during the last two decades on a variety of topics within the history of mathematics, mostly focusing on particular aspects of mathematical practice. This book is of interest to, and provides methodological inspiration for, historians of science or mathematics and students of these disciplines.

Authors and Affiliations

  • Section for Philosophy and Science Studies, Roskilde University, Roskilde, Denmark

    Jens Høyrup

About the author

Jens Høyrup (*1943): educated as a physicist at Copenhagen University. From 1973 he taught first in the domain of social, then human sciences, at Roskilde University, Denmark, until he retired in 2005. Much of his research has dealt with the conceptual, cultural and social history of pre-Modern mathematics.

Bibliographic Information

  • Book Title: Selected Essays on Pre- and Early Modern Mathematical Practice

  • Authors: Jens Høyrup

  • DOI: https://doi.org/10.1007/978-3-030-19258-7

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-19257-0Published: 07 October 2019

  • Softcover ISBN: 978-3-030-19260-0Published: 07 October 2020

  • eBook ISBN: 978-3-030-19258-7Published: 20 September 2019

  • Edition Number: 1

  • Number of Pages: XIII, 969

  • Number of Illustrations: 355 b/w illustrations, 4 illustrations in colour

  • Topics: History of Mathematical Sciences, Algebra

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