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商品描述
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.
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.
商品描述(中文翻譯)
幾何學是數學中一門非常古老的研究領域，但學生往往對它不夠熟悉。Strasbourg 大學教授 Michèle Audin 撰寫了本書，幫助讀者改善這種情況。本書從線性代數出發，延伸介紹仿射幾何、歐幾里得幾何與射影幾何，以及圓錐曲線、二次曲面、曲線和曲面等主題。
書中收錄了許多精彩的定理，例如九點圓、Feuerbach 定理等。全書內容清晰且嚴謹，每個性質都附有證明，並透過範例與習題完美闡釋課程內容。書末也提供大多數習題的精確提示。本書內容非常完整，適合高年級大學生與碩士班學生用來認識幾何學，並加深對幾何學的知識與理解。
