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International Studies in the History of Mathematics and its Teaching

Descriptive Geometry, The Spread of a Polytechnic Art

The Legacy of Gaspard Monge

Editors: Barbin, Évelyne, Menghini, Marta, Volkert, Klaus (Eds.)

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  • Presents a new perspective on the history of mathematics teaching by looking at descriptive geometry in the 19th century
  • Offers myriad international viewpoints on history of mathematics teaching from renowned specialists across the field
  • Concerns relations between technics, arts and mathematics
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書籍の購入

イーブック ¥12,354
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-14808-9
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: EPUB, PDF
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー ¥15,443
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • 予定日: August 30, 2019
  • ISBN 978-3-030-14807-2
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
この書籍について

This book seeks to explore the history of descriptive geometry in relation to its circulation in the 19th century, which had been favoured by the transfers of the model of the École Polytechnique to other countries. The book also covers the diffusion of its teaching from higher instruction to technical and secondary teaching. In relation to that, there is analysis of the role of the institution – similar but definitely not identical in the different countries – in the field under consideration. The book contains chapters focused on different countries, areas, and institutions, written by specialists of the history of the field. Insights on descriptive geometry are provided in the context of the mathematical aspect, the aspect of teaching in particular to non-mathematicians, and the institutions themselves. 

著者について

Evelyne Barbin was previously a professor of epistemology and history of sciences at the University of Nantes (France). Since 2014, she is now professor emeritus at the University of Nantes. She is a member of the Laboratory of Mathematics Jean Leray CNRS UMR 6629, where she is in charge of the research group on history of mathematics. She taught history of mathematics and sciences in all levels of teaching from licence to master. She was the director of 15 theses on the history of mathematics and sciences. Her research concerns three fields: history of mathematics, history of mathematics teachings, and relations between history and teaching of mathematics. The main themes of her historical research are: mathematical proofs in history, mathematics and sciences in the 17th and 19th centuries, and history of mathematics teaching from the 19th to the 20th century. She has worked at the IREM (Institute for Research on Mathematics Education) since 1975. As convenor of the National Committee of the IREM “Epistemology and History of Mathematics”, she has organized 20 national colloquia, 8 interdisciplinary Summer Universities on history and teaching mathematics, and the first European Summer University (ESU) "Epistemology and History in Mathematics Education" in 1993. She was chair of seven ESUs from 1996 to 2014. Since 1980, she has also been a member of the International Study Group on the Relations between History and Pedagogy of Mathematics (HPM). She was the chair of HPM from 2008 to 2012.

Marta Menghini is an associate professor in the Department of Mathematics of the University of Rome Sapienza. She is the author of numerous published works in the fields of Mathematics Education, History of Mathematics, and the History of Mathematics Education. She was in the Scientific Committee and chaired the Organizing Committee of the International Symposium held in Rome in March 2008, “The First Century of the International Commission on Mathematical Instruction: Reflecting and Shaping the World of Mathematics Education”, and edited the volume published on this occasion by Enciclopedia Italiana. In 2012, she held a Regular Lecture at ICME 12 in Seoul. She wrote, with Evelyne Barbin, the Chapter on “History of Teaching Geometry” in the International Handbook on the History of Mathematics Education. She was involved in the translation of Felix Klein’s third volume on “Elementary Mathematics from a Higher Standpoint”, which appeared in 2016.

Klaus Volkert is a full professor at the University of Wuppertal; he lectures on mathematics, didactics, and history. His interests are mainly in the history of geometry and topology, and recently he started a project on Wilhelm Fiedler. He is Editor in Chief of the journal “Mathematische Semesterberichte” (together with J. Steuding) and editor of the series “Mathematik im Kontext” (with David Rowe).


Table of contents (22 chapters)

Table of contents (22 chapters)
  • Monge’s Descriptive Geometry: His Lessons and the Teachings Given by Lacroix and Hachette

    Pages 3-18

    Barbin, Évelyne

  • Descriptive Geometry in France: Circulation, Transformation, Recognition (1795–1905)

    Pages 19-38

    Barbin, Évelyne

  • Descriptive Geometry in Italy in the Nineteenth Century: Spread, Popularization, Teaching

    Pages 39-55

    Scoth, Roberto

  • Luigi Cremona and Wilhelm Fiedler: The Link Between Descriptive and Projective Geometry in Technical Instruction

    Pages 57-68

    Menghini, Marta

  • Descriptive Geometry in the Nineteenth-Century Spain: From Monge to Cirodde

    Pages 69-80

    Ausejo, Elena

書籍の購入

イーブック ¥12,354
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-14808-9
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: EPUB, PDF
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー ¥15,443
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • 予定日: August 30, 2019
  • ISBN 978-3-030-14807-2
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
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書誌情報

Bibliographic Information
Book Title
Descriptive Geometry, The Spread of a Polytechnic Art
Book Subtitle
The Legacy of Gaspard Monge
Editors
  • Évelyne Barbin
  • Marta Menghini
  • Klaus Volkert
Series Title
International Studies in the History of Mathematics and its Teaching
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
イーブック ISBN
978-3-030-14808-9
DOI
10.1007/978-3-030-14808-9
ハードカバー ISBN
978-3-030-14807-2
Series ISSN
2524-8022
Edition Number
1
Number of Pages
XXVI, 437
Number of Illustrations
63 b/w illustrations, 24 illustrations in colour
Topics