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Titlebook: Geometry; Michèle Audin Textbook 2003 Springer-Verlag Berlin Heidelberg 2003 51XX.53XX.Area.Euclidean geometry.conics.differential geometr

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发表于 2025-3-21 17:36:52 | 显示全部楼层 |阅读模式
书目名称Geometry
编辑Michèle Audin
视频video
概述No book published in English covers all these subjects and.with the same point of view - all chapters end with exerci+.ses - contains many detailed illustrations.Includes supplementary material:
丛书名称Universitext
图书封面Titlebook: Geometry;  Michèle Audin Textbook 2003 Springer-Verlag Berlin Heidelberg 2003 51XX.53XX.Area.Euclidean geometry.conics.differential geometr
描述Geometry, this very ancient field of study of mathematics, frequently remains too little familiar to students. Michèle Audin, professor at the University of Strasbourg, has written a book allowing them to remedy this situation and, starting from linear algebra, extend their knowledge of affine, Euclidean and projective geometry, conic sections and quadrics, curves and surfaces..It includes many nice theorems like the nine-point circle, Feuerbach‘s theorem, and so on. Everything is presented clearly and rigourously. Each property is proved, examples and exercises illustrate the course content perfectly. Precise hints for most of the exercises are provided at the end of the book. This very comprehensive text is addressed to students at upper undergraduate and Master‘s level to discover geometry and deepen their knowledge and understanding.
出版日期Textbook 2003
关键词51XX; 53XX; Area; Euclidean geometry; conics; differential geometry; projective geometry; quadrics
版次1
doihttps://doi.org/10.1007/978-3-642-56127-6
isbn_softcover978-3-540-43498-6
isbn_ebook978-3-642-56127-6Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag Berlin Heidelberg 2003
The information of publication is updating

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发表于 2025-3-21 20:36:34 | 显示全部楼层
Michèle AudinNo book published in English covers all these subjects and.with the same point of view - all chapters end with exerci+.ses - contains many detailed illustrations.Includes supplementary material:
发表于 2025-3-22 03:33:40 | 显示全部楼层
Auswertung der Versuchsergebnisse,This is a book written for students who have been taught a small amount of geometry at secondary school and some linear algebra at university. It comes from several courses I have taught in Strasbourg.
发表于 2025-3-22 07:17:39 | 显示全部楼层
Ekkehard Grundmann,Christian WittingAn affine space is a set of points; it contains lines, etc. and affine geometry. deals, for instance, with the relations between these points and these lines (collinear points, parallel or concurrent lines…). To define these objects and describe their relations, one can:
发表于 2025-3-22 11:28:58 | 显示全部楼层
发表于 2025-3-22 14:49:59 | 显示全部楼层
https://doi.org/10.1007/978-3-663-04775-9In this chapter, everything will take place in a Euclidean (affine or vector) space of dimension 3.
发表于 2025-3-22 18:43:33 | 显示全部楼层
Versuchsapparatur und -bedingungen,Projective geometry was created as a completion of affine geometry in which there are no parallels, which is a nice property, as it gives neater statements.
发表于 2025-3-22 22:20:39 | 显示全部楼层
Eugen Schmidtmann,Ulrike ZeislmaiThis chapter is devoted to quadrics and especially to conics. I have tried to keep a balance between:
发表于 2025-3-23 01:53:21 | 显示全部楼层
https://doi.org/10.1007/978-3-322-88370-4Curves appear in a wide variety of mathematical problems and in very many ways. Here is a list of examples (in a real affine space):
发表于 2025-3-23 07:57:43 | 显示全部楼层
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