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Irrationality, Transcendence and the Circle-Squaring Problem

An Annotated Translation of J. H. Lambert’s Vorläufige Kenntnisse and Mémoire

Eduardo Dorrego López & Elías Fuentes Guillén

Irrationality, Transcendence and the Circle-Squaring Problem
Irrationality, Transcendence and the Circle-Squaring Problem

Irrationality, Transcendence and the Circle-Squaring Problem

An Annotated Translation of J. H. Lambert’s Vorläufige Kenntnisse and Mémoire

Eduardo Dorrego López & Elías Fuentes Guillén

Hardback / bound | English
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Description

Eduardo Dorrego López studied Mathematics (minor in Pure Mathematics) at the University of Santiago de Compostela (USC), where he also obtained his Master’s degree in the Department of Algebra. He got enrolled into the “Doctorate in Mathematics” program at the Institute of Mathematics of the University of Seville (IMUS) obtaining his PhD in History of Mathematics under the supervision of Prof. José Ferreirós (2021). His research focuses on the development of irrational and transcendental quantities in the 18th and 19th centuries, as well as on the work of Johann Heinrich Lambert. He has carried out research stays in Oxford and Seville working primarily on Lambert and Lagrange. He has published a book (in Spanish) on Lambert and his contribution to the irrationality of pi and the circle-squaring problem (with Elías Fuentes Guillén; College Publications, 2021), as well as a book chapter (in Spanish) on Lambert’s work about non-euclidean geometries (with José Ferreirós; Plaza y Valdés, forthcoming). He is also a high school mathematics teacher. 
Elías Fuentes Guillén is a researcher at the Institute of Philosophy of the Czech Academy of Sciences and head of the GA ČR Junior Star project "Normalisation and Emergence: Rethinking the Dynamics of Mathematics". Previously he held postdoctoral positions at the Department of Mathematics of the Faculty of Sciences at UNAM and the Institute of Philosophy of the Czech Academy of Sciences. His research focuses on the transition from mathematical practices that were common in the late 18th century to practices that emerged in the second half of the 19th century, as well as on the work of Bernard Bolzano. His recent publications include the book Matematické dílo Bernarda Bolzana ve světle jeho rukopisů (Nakladatelství Filosofia, 2023), a chapter for Springer’s Handbook of the History and Philosophy of Mathematical Practice (2022) and “The 1804 examination for the chair of ElementaryMathematics at the University of Prague” (with Davide Crippa; Historia Mathematica, 2021).

Eduardo Dorrego López studied Mathematics (minor in Pure Mathematics) at the University of Santiago de Compostela (USC), where he also obtained his Master’s degree in the Department of Algebra. He got enrolled into the “Doctorate in Mathematics” program at the Institute of Mathematics of the University of Seville (IMUS) obtaining his PhD in History of Mathematics under the supervision of Prof. José Ferreirós (2021). His research focuses on the development of irrational and transcendental quantities in the 18th and 19th centuries, as well as on the work of Johann Heinrich Lambert. He has carried out research stays in Oxford and Seville working primarily on Lambert and Lagrange. He has published a book (in Spanish) on Lambert and his contribution to the irrationality of pi and the circle-squaring problem (with Elías Fuentes Guillén; College Publications, 2021), as well as a book chapter (in Spanish) on Lambert’s work about non-euclidean geometries (with José Ferreirós; Plaza y Valdés, forthcoming). He is also a high school mathematics teacher. 
Elías Fuentes Guillén is a researcher at the Institute of Philosophy of the Czech Academy of Sciences and head of the GA ČR Junior Star project "Normalisation and Emergence: Rethinking the Dynamics of Mathematics". Previously he held postdoctoral positions at the Department of Mathematics of the Faculty of Sciences at UNAM and the Institute of Philosophy of the Czech Academy of Sciences. His research focuses on the transition from mathematical practices that were common in the late 18th century to practices that emerged in the second half of the 19th century, as well as on the work of Bernard Bolzano. His recent publications include the book Matematické dílo Bernarda Bolzana ve světle jeho rukopisů (Nakladatelství Filosofia, 2023), a chapter for Springer’s Handbook of the History and Philosophy of Mathematical Practice (2022) and “The 1804 examination for the chair of ElementaryMathematics at the University of Prague” (with Davide Crippa; Historia Mathematica, 2021).

Specifications

  • Publisher
    Springer International Publishing AG
  • Edition
    2
  • Pub date
    May 2024
  • Theme
    History of mathematics
  • Dimensions
    235 x 155 mm
  • EAN
    9783031522222
  • Hardback / bound
    Hardback / bound
  • Language
    English

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