Discrete and Computational Geometry (Hardcover)
暫譯: 離散與計算幾何 (精裝版)
Satyan L. Devadoss, Joseph O'Rourke
- 出版商: Princeton University
- 出版日期: 2011-05-01
- 售價: $1,500
- 貴賓價: 9.8 折 $1,470
- 語言: 英文
- 頁數: 280
- 裝訂: Hardcover
- ISBN: 0691145539
- ISBN-13: 9780691145532
已絕版
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商品描述
Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two. Discrete and Computational Geometry offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science.
This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as more recent subjects like pseudotriangulations, curve reconstruction, and locked chains. It also touches on more advanced material, including Dehn invariants, associahedra, quasigeodesics, Morse theory, and the recent resolution of the Poincar conjecture. Connections to real-world applications are made throughout, and algorithms are presented independently of any programming language. This richly illustrated textbook also features numerous exercises and unsolved problems.
The essential introduction to discrete and computational geometry
Covers traditional topics as well as new and advanced material
Features numerous full-color illustrations, exercises, and unsolved problems
Suitable for sophomores in mathematics, computer science, engineering, or physics
Rigorous but accessible
An online solutions manual is available (for teachers only).
To obtain access, please e-mail: Vickie_Kearn@press.princeton.edu
商品描述(中文翻譯)
離散幾何學是純數學中相對較新的發展,而計算幾何學則是應用驅動的計算機科學中的一個新興領域。這兩者的交融在近年來帶來了令人振奮的進展,但直到現在,仍缺乏一本能夠橋接這兩者之間差距的本科教科書。《離散與計算幾何學》提供了對這一數學和計算機科學前沿的全面且易於理解的介紹。
本書涵蓋了傳統主題,如凸包、三角剖分和Voronoi圖,以及更近期的主題,如偽三角剖分、曲線重建和鎖鏈。它還觸及了更高級的材料,包括德赫不變量、聯合體、準測地線、莫爾斯理論以及最近對龐加萊猜想的解決方案。全書貫穿著與現實世界應用的聯繫,並且算法的呈現不依賴於任何編程語言。這本插圖豐富的教科書還包含了大量的練習題和未解決的問題。
離散與計算幾何學的基本介紹
涵蓋傳統主題以及新穎和高級材料
特別提供大量全彩插圖、練習題和未解決的問題
適合數學、計算機科學、工程或物理的二年級學生
嚴謹但易於理解
提供線上解答手冊(僅限教師使用)。
如需獲取訪問權限,請發送電子郵件至:Vickie_Kearn@press.princeton.edu