| 000 | 02688 a2200277 4500 | ||
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| 003 | NISER | ||
| 005 | 20251231160713.0 | ||
| 008 | 251231b |||||||| |||| 00| 0 hin d | ||
| 020 |
_a9781470454791 _qPaperback |
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| 040 |
_aNISER LIBRARY _beng _cNISER LIBRARY |
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| 082 | 0 | 0 |
_a514.11 _bAGR-E |
| 100 | 1 | _aAgricola, Ilka | |
| 245 | 1 | 0 | _aElementary geometry |
| 260 |
_aProvidence, R.I. : _bAmerican Mathematical Society, _c2019. |
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| 300 |
_axi, 243 pages : _billustrations (some col.) ; _c22 cm. |
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| 490 |
_aStudent mathematical library ; _vvolume 43 |
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| 500 | _a"Originally published in German by Friedr. Vieweg & Sohn Verlag, ... c2005"--T.p. verso. | ||
| 504 | _aIncludes bibliographical references (p. 229-233) and index. | ||
| 520 | _aElementary geometry provides the foundation of modern geometry. For the most part, the standard introductions end at the formal Euclidean geometry of high school. Agricola and Friedrich revisit geometry, but from the higher viewpoint of university mathematics. Plane geometry is developed from its basic objects and their properties and then moves to conics and basic solids, including the Platonic solids and a proof of Euler's polytope formula. Particular care is taken to explain symmetry groups, including the description of ornaments and the classification of isometries by their number of fixed points. Complex numbers are introduced to provide an alternative, very elegant approach to plane geometry. The authors then treat spherical and hyperbolic geometries, with special emphasis on their basic geometric properties. This largely self-contained book provides a much deeper understanding of familiar topics, as well as an introduction to new topics that complete the picture of two-dimensional geometries. For undergraduate mathematics students the book will be an excellent introduction to an advanced point of view on geometry. For mathematics teachers it will be a valuable reference and a source book for topics for projects. The book contains over 100 figures and scores of exercises. It is suitable for a one-semester course in geometry for undergraduates, particularly for mathematics majors and future secondary school teachers. | ||
| 521 | _aReadership : Undergraduate students interested in plane geometry. | ||
| 650 | 0 | _aGeometry | |
| 700 | 1 | _aFriedrich, Thomas | |
| 856 |
_3Table of contents _uhttps://www.ams.org/bookstore/pspdf/stml-43-toc.pdf?_gl=1*3qotiv*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NjcxNzY4NzYkbzE5JGcxJHQxNzY3MTc2OTIwJGoxNiRsMCRoMA.. |
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| 856 |
_3Reviews _uhttps://www.goodreads.com/book/show/2963414-elementary-geometry?ref=nav_sb_ss_1_13#CommunityReviews |
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| 942 |
_cBK _2udc |
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| 999 |
_c36664 _d36664 |
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