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商品詳細
Geometry by Its Transformations : Lessons Centered on the History of 1800-1855.
・ISBN 978-3-031-72280-6 paper EUR 44.99
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| 著者・編者 | Baltus, Christopher, |
|---|---|
| シリーズ | Compact Textbooks in Mathematics |
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 2025 |
| ページ数 | 205 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-13110＞ |
解説
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 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.