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Titlebook: Geometry: Plane and Fancy; David A. Singer Textbook 1998 Springer Science+Business Media New York 1998 Non-Euclidean Geometry.analytic geo

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發(fā)表于 2025-3-21 17:00:00 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Geometry: Plane and Fancy
編輯David A. Singer
視頻videohttp://file.papertrans.cn/384/383858/383858.mp4
概述This book offers students a fascinating tour through parts of geometry they are unlikely to see in the rest of their studies..Lively exposition and off-beat approach..Covers many topics in geometry no
叢書名稱Undergraduate Texts in Mathematics
圖書封面Titlebook: Geometry: Plane and Fancy;  David A. Singer Textbook 1998 Springer Science+Business Media New York 1998 Non-Euclidean Geometry.analytic geo
描述GEOMETRY: Plane and Fancy offers students a fascinating tour through parts of geometry they are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclid‘s fifth postulate lead to interesting and different patterns and symmetries. In the process of examining geometric objects, the author incorporates the algebra of complex (and hypercomplex) numbers, some graph theory, and some topology. Nevertheless, the book has only mild prerequisites. Readers are assumed to have had a course in Euclidean geometry (including some analytic geometry and some algebra) at the high school level. While many concepts introduced are advanced, the mathematical techniques are not. Singer‘s lively exposition and off-beat approach will greatly appeal both to students and mathematicians. Interesting problems are nicely scattered throughout the text. The contents of the book can be covered in a one-semester course, perhaps as a sequel to a Euclidean geometry course.
出版日期Textbook 1998
關(guān)鍵詞Non-Euclidean Geometry; analytic geometry; boundary element method; complex number; fractal; graph; graph
版次1
doihttps://doi.org/10.1007/978-1-4612-0607-1
isbn_softcover978-1-4612-6837-6
isbn_ebook978-1-4612-0607-1Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer Science+Business Media New York 1998
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沙發(fā)
發(fā)表于 2025-3-21 20:24:45 | 只看該作者
More Geometry of the Sphere,semiregular polyhedra, we saw that Euler’s formula severely limited the possible polyhedra that we could construct. By analysis of the numerical relations implied by the Euler formula and the polygonal faces, we were able to find all possible candidates.
板凳
發(fā)表于 2025-3-22 00:26:22 | 只看該作者
A Systematic Reading of an Electrocardiogram sum of the angles in every triangle equals 180o or else the sum is always less than 180o.) This will lead to a very different conclusion about possible tilings. For example, four squares no longer fit together at their corners without leaving a gap. As we will see, however, it is possible for . squares to do so!
地板
發(fā)表于 2025-3-22 07:24:17 | 只看該作者
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發(fā)表于 2025-3-22 12:44:55 | 只看該作者
0172-6056 ion and off-beat approach..Covers many topics in geometry noGEOMETRY: Plane and Fancy offers students a fascinating tour through parts of geometry they are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid.
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發(fā)表于 2025-3-22 14:10:39 | 只看該作者
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發(fā)表于 2025-3-22 19:46:26 | 只看該作者
978-1-4612-6837-6Springer Science+Business Media New York 1998
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發(fā)表于 2025-3-23 00:06:17 | 只看該作者
Geometry: Plane and Fancy978-1-4612-0607-1Series ISSN 0172-6056 Series E-ISSN 2197-5604
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