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Geometry by Its Transformations: Lessons Centered on the History from 1800-1855 (Compact Textbooks in Mathematics) - Tapa blanda
Sinopsis
This textbook combines the history of synthetic geometry, centered on the years 1800-1855, with a theorem-proof exposition of the geometry developed in those years. The book starts with the background needed from Euclid’s Elements, followed by chapters on transformations, including dilation (similitude), homology, homogeneous coordinates, projective geometry, inversion, the Möbius transformation, and transformation geometry as in French schoolbooks of 1910. Projective geometry is presented by tracing its path through the work of J. V. Poncelet, J. Steiner, and K. G. C. von Staudt. Extensive exercises are included, many from the period studied. The prerequisites for approaching this course are knowledge of high school geometry and enthusiasm for mathematical demonstration.
This textbook is ideal for a college geometry course, for self-study, or as preparation for the study of modern geometry.
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Acerca del autor
Christopher Baltus has degrees in history (BA), mathematics education (MAT), and mathematics (PhD). After three years of secondary mathematics teaching and two years in the Peace Corps, he taught college mathematics for 36 years. His article “Poncelet’s discovery of homology” appeared in Historia Mathematica, May 2023. In retirement, in Poughkeepsie, NY, he and his wife volunteer in an elementary school, he as an in-the-classroom mathematics aide.
De la contraportada
This textbook combines the history of synthetic geometry, centered on the years 1800-1855, with a theorem-proof exposition of the geometry developed in those years. The book starts with the background needed from Euclid's Elements, followed by chapters on transformations, including dilation (similitude), homology, homogeneous coordinates, projective geometry, inversion, the Möbius transformation, and transformation geometry as in French schoolbooks of 1910. Projective geometry is presented by tracing its path through the work of J. V. Poncelet, J. Steiner, and K. G. C. von Staudt. Extensive exercises are included, many from the period studied. The prerequisites for approaching this course are knowledge of high school geometry and enthusiasm for mathematical demonstration.
This textbook is ideal for a college geometry course, for self-study, or as preparation for the study of modern geometry.
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Geometry by Its Transformations
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Springer, Berlin, Springer Nature Switzerland, Birkhäuser, 2025
ISBN 10: 3031722809
ISBN 13: 9783031722806
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This textbook combines the history of synthetic geometry, centered on the years 1800-1855, with a theorem-proof exposition of the geometry developed in those years. The book starts with the background needed from Euclid'sElements, followed by chapters on transformations, including dilation (similitude), homology, homogeneous coordinates, projective geometry, inversion, the Möbius transformation, and transformation geometry as in French schoolbooks of 1910. Projective geometry is presented by tracing its path through the work of J. V. Poncelet, J. Steiner, and K. G. C. von Staudt. Extensive exercises are included, many from the period studied. The prerequisites for approaching this course are knowledge of high school geometry and enthusiasm for mathematical demonstration.This textbook is ideal for a college geometry course, for self-study, or as preparation for the study of modern geometry. 203 pp. Englisch. Nº de ref. del artículo: 9783031722806
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Geometry by Its Transformations : Lessons Centered on the History from 1800-1855
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Springer Nature Switzerland, Springer Nature Switzerland, 2025
ISBN 10: 3031722809
ISBN 13: 9783031722806
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This textbook combines the history of synthetic geometry, centered on the years 1800-1855, with a theorem-proof exposition of the geometry developed in those years. The book starts with the background needed from Euclid'sElements, followed by chapters on transformations, including dilation (similitude), homology, homogeneous coordinates, projective geometry, inversion, the Möbius transformation, and transformation geometry as in French schoolbooks of 1910. Projective geometry is presented by tracing its path through the work of J. V. Poncelet, J. Steiner, and K. G. C. von Staudt. Extensive exercises are included, many from the period studied. The prerequisites for approaching this course are knowledge of high school geometry and enthusiasm for mathematical demonstration.This textbook is ideal for a college geometry course, for self-study, or as preparation for the study of modern geometry. Nº de ref. del artículo: 9783031722806
Cantidad disponible: 1 disponibles
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Geometry by Its Transformations
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Geometry by Its Transformations : Lessons Centered on the History from 1800-1855
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Birkhäuser, 2025
ISBN 10: 3031722809
ISBN 13: 9783031722806
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Geometry by Its Transformations: Lessons Centered on the History from 1800-1855 (Compact Textbooks in Mathematics)
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Geometry by Its Transformations: Lessons Centered on the History from 1800-1855 (Compact Textbooks in Mathematics)
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Geometry by Its Transformations: Lessons Centered on the History from 1800-1855 (Compact Textbooks in Mathematics)
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Geometry by Its Transformations: Lessons Centered on the History from 1800-1855
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Geometry by Its Transformations
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Springer Nature Switzerland, Springer Nature Switzerland Feb 2025, 2025
ISBN 10: 3031722809
ISBN 13: 9783031722806
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Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This textbook combines the history of synthetic geometry, centered on the years 1800-1855, with a theorem-proof exposition of the geometry developed in those years. The book starts with the background needed from Euclid's Elements, followed by chapters on transformations, including dilation (similitude), homology, homogeneous coordinates, projective geometry, inversion, the Möbius transformation, and transformation geometry as in French schoolbooks of 1910. Projective geometry is presented by tracing its path through the work of J. V. Poncelet, J. Steiner, and K. G. C. von Staudt. Extensive exercises are included, many from the period studied. The prerequisites for approaching this course are knowledge of high school geometry and enthusiasm for mathematical demonstration.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 224 pp. Englisch. Nº de ref. del artículo: 9783031722806
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