Descriptive Geometry, the Spread of a Polytechnic Art : The Legacy of Gaspard Monge (International Studies in the History of Mathematics and its Teaching)

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Descriptive Geometry, the Spread of a Polytechnic Art : The Legacy of Gaspard Monge (International Studies in the History of Mathematics and its Teaching)

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 437 p.
  • 言語 ENG
  • 商品コード 9783030148102

Full Description

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. 

Contents

Part I: First Spreading in Western Europe.- Chapter 1: Monge's Descriptive Geometry: his Lessons and the Teachings given by Lacroix and Hachette.- Chapter 2: Descriptive Geometry in France: Circulation, Transformation, Recognition (1795-1905).- Chapter 3: Descriptive Geometry in Italy in the 19th Century: Spread, Popularization, Teaching.- Chapter 4: Luigi Cremona and Wilhelm Fiedler: the Link between Descriptive and Projective Geometry in Technical Instruction.- Chapter 5: Descriptive Geometry in 19th Century Spain: from Monge to Cirodde.- Chapter 6: Descriptive Geometry in Spain and the Emergence of the late Modern European outlook on the Relationship between Pure Science and Technology.- Chapter 7: Portuguese books of Descriptive Geometry, from University and Polytechnic to Secondary School.- Part II: Installation of Descriptive Geometry in Europe.- Chapter 8: A German Interpreting of Descriptive Geometry and Polytechnic.- Chapter 9: The Evolution of Descriptive Geometry in Austria.- Chapter 10: The Vienna School of Descriptive Geometry.- Chapter 11: Otto Wilhelm Fiedler and the Synthesis of Projective and Descriptive Geometry.- Chapter 12: At the Crossroads of two Engineering Cultures, or An Unedited Story of the French Polytechnician Charles Potier's Descriptive Geometry Books in Russia.- Chapter 13: Engineering Studies and Secondary Education: Descriptive Geometry in the Netherlands (1820-1960).- Chapter 14: In Pursuit of Monge's Ideal: the Introduction of Descriptive Geometry in the Educational Institutions in Greece during the 19th Century.- Chapter 15: The Rise and Fall of Descriptive Geometry in Denmark.- Chapter 16: Descriptive Geometry at Czech Technical Universities until 1939.- Chapter 17: The Love Affair with Descriptive Geometry: Its History in Serbia.- Chapter 18: Descriptive Geometry in England - Lost in Translation.- Part III: Descriptive Geometry in America and Africa.- Chapter 19: Teaching of Descriptive Geometry in the United States (1817-1915): Circulation among Military Engineers, Scholars and Draftsmen.- Chapter 20: The Teaching of Descriptive Geometry in Egypt (1837-1902).- Chapter 21: The Dissemination of Descriptive Geometry in Latin America.- Part IV: Epilogue.- Chapter 22: The Myth of the Polytechnic School.

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