The Universe of Conics: From the Ancient Greeks to 21st Century Developments (圓錐曲線的宇宙：從古希臘到21世紀的發展)
Glaeser, Georg, Stachel, Hellmuth, Odehnal, Boris
- 出版商: Springer
- 出版日期: 2025-02-12
- 售價: $3,360
- 貴賓價: 9.5 折 $3,192
- 語言: 英文
- 頁數: 574
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 366270305X
- ISBN-13: 9783662703052
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商品描述
This text presents the classical theory of conics in a modern form. It includes many novel results that are not easily accessible elsewhere. The approach combines synthetic and analytic methods to derive projective, affine and metrical properties, covering both Euclidean and non-Euclidean geometries.
With more than two thousand years of history, conic sections play a fundamental role in numerous fields of mathematics and physics, with applications to mechanical engineering, architecture, astronomy, design and computer graphics.
This text will be invaluable to undergraduate mathematics students, those in adjacent fields of study, and anyone with an interest in classical geometry.
Augmented with more than 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.
商品描述(中文翻譯)
這本書以現代形式呈現了圓錐曲線的經典理論。它包含許多在其他地方不易獲得的新結果。這種方法結合了合成和解析的方法，以推導射影、仿射和度量性質，涵蓋了歐幾里得和非歐幾里得幾何。
圓錐曲線擁有超過兩千年的歷史，在數學和物理的許多領域中扮演著基礎角色，並應用於機械工程、建築、天文學、設計和電腦圖形學等領域。
這本書對於本科數學學生、相關學科的學生以及對經典幾何有興趣的任何人都將是無價的。
本書增添了超過三百五十幅圖形和照片，這本創新的著作將增進您對射影幾何、線性代數、力學和微分幾何的理解，並提供了細緻的闡述和許多示範練習。
作者簡介
Georg Glaeser, born 1955, got his PhD and habilitation in geometry at the Vienna University of Technology, 1998-2023 full professor of geometry at the University of Applied Arts Vienna. Author and coauthor of more than a dozen books on geometry, mathematics, computational geometry, computer graphics, and photography.
Hellmuth Stachel, born 1942, got his PhD and habilitation in geometry in Graz. 1978 full professor at the Mining University Leoben, 1980-2011 full professor of geometry at the Vienna University of Technology. Coauthor of several books on mathematics and computational geometry and of more than 180 articles on geometry.
Boris Odehnal, born 1973, got his PhD and habilitation in geometry at the Vienna University of Technology. 2011-2012 professor at the Dresden University of Technology, from 2023 full professor of geometry at the University of Applied Arts Vienna. Author of several dozens of publications on geometry.
作者簡介(中文翻譯)
Georg Glaeser，生於1955年，於維也納科技大學獲得幾何學博士及資格認證，1998年至2023年擔任維也納應用藝術大學的幾何學全職教授。著有及合著超過十本有關幾何學、數學、計算幾何、計算機圖形學及攝影的書籍。
Hellmuth Stachel，生於1942年，於格拉茨獲得幾何學博士及資格認證。1978年成為萊本礦業大學的全職教授，1980年至2011年擔任維也納科技大學的幾何學全職教授。合著數本有關數學及計算幾何的書籍，並發表超過180篇有關幾何的文章。
Boris Odehnal，生於1973年，於維也納科技大學獲得幾何學博士及資格認證。2011年至2012年擔任德累斯頓科技大學教授，從2023年起成為維也納應用藝術大學的幾何學全職教授。著有數十篇有關幾何的出版物。
