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barbin Évelyne (curatore); menghini marta (curatore); volkert klaus (curatore) - descriptive geometry, the spread of a polytechnic art

Descriptive Geometry, The Spread of a Polytechnic Art The Legacy of Gaspard Monge

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 07/2019
Edizione: 1st ed. 2019





Trama

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. 





Sommario

Table of Contents

 

Part I- First spreading in Western Europe

 

Chapter 1        Monge’s Descriptive Geometry: his Lessons and the Teachings given by

                        Lacroix and Hachette

                                                                                                                        Évelyne Barbin

Chapter 2        Descriptive Geometry in France: Circulation, Transformation, Recognition

                        (1795-  1905)

                                                                                                                        Évelyne Barbin

Chapter 3        Descriptive Geometry in Italy in the 19th Century: Spread, Popularization,                         Teaching                                                                                   

                                                                                                                        Roberto Scoth

Chapter 4        Luigi Cremona and Wilhelm Fiedler: the Link between Descriptive and                              Projective Geometry in Technical Instruction

                                                                                                                        Marta Menghini

Chapter 5        Descriptive Geometry in 19th Century Spain: from Monge to Cirodde

                                                                                                                        Elena Ausejo

Chapter 6        Descriptive Geometry in Spain and the Emergence of the late Modern                                European outlook on the Relationship between Pure Science and Technology

                                                                                                            Ana Millán Gasca

Chapter 7        Portuguese books of Descriptive Geometry, from University and Polytechnic                     to Secondary School

                                    Eliana Manuel Pinho, José Carlos Santos, João Pedro Xavier

 

Part II- Installation of Descriptive Geometry in Europe

 

Chapter 8        A German Interpreting of Descriptive Geometry and Polytechnic

                                                                                                     &nb





Autore

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).












Altre Informazioni

ISBN:

9783030148072

Condizione: Nuovo
Collana: International Studies in the History of Mathematics and its Teaching
Dimensioni: 235 x 155 mm Ø 857 gr
Formato: Copertina rigida
Illustration Notes:XXVI, 437 p. 87 illus., 24 illus. in color.
Pagine Arabe: 437
Pagine Romane: xxvi


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