书目名称 | The Universe of Quadrics | 编辑 | Boris Odehnal,Hellmuth Stachel,Georg Glaeser | 视频video | | 概述 | Enriches understanding of a both classical and modern subject with a strong visual component.Shows recent results in an accesible way.Broadens your understanding of geometry as a whole | 图书封面 |  | 描述 | .The Universe of Quadrics.This text presents the theory of quadrics in a modern form. It builds on the previously published book "The Universe of Conics", including many novel results that are not easily accessible elsewhere. As in the conics book, the approach combines synthetic and analytic methods to derive projective, affine, and metrical properties, covering both Euclidean and non-Euclidean geometries..While the history of conics is more than two thousand years old, the theory of quadrics began to develop approximately three hundred years ago. Quadrics play a fundamental role in numerous fields of mathematics and physics, their applications ranging from mechanical engineering, architecture, astronomy, and design to computer graphics..This text will be invaluable to undergraduate and graduate mathematics students, those in adjacent fields of study, and anyone with a deeper interest in geometry. Complemented with about three hundred fifty figures and photographs,this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.. | 出版日期 | Textbook 2020 | 关键词 | Applications; Classical Geometry; Conics; Differential Geometry; Geometry; History of Mathematics; Project | 版次 | 1 | doi | https://doi.org/10.1007/978-3-662-61053-4 | isbn_softcover | 978-3-662-61055-8 | isbn_ebook | 978-3-662-61053-4 | copyright | Springer-Verlag GmbH Germany, part of Springer Nature 2020 |
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