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Geometry by Its Transformations: Lessons Centered on the History from 1800-1855 (Compact Textbooks in Mathematics) - Softcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
About the Author
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.
From the Back Cover
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.
"About this title" may belong to another edition of this title.
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Geometry by Its Transformations : Lessons Centered on the History from 1800-1855
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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 (Paperback)
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Birkhauser Verlag AG, Basel, 2025
ISBN 10: 3031722809
ISBN 13: 9783031722806
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Paperback. Condition: new. Paperback. 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 Euclids Elements, followed by chapters on transformations, including dilation (similitude), homology, homogeneous coordinates, projective geometry, inversion, the Moebius 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 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
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Taschenbuch. Condition: 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. Seller Inventory # 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
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