非歐幾何賞析
課程編號 :SAYT1214
上課日期 :20/6, 22/6, 25/6, 27/6, 4/7, 6/7, 9/7, 11/7, 13/7, 16/7, 2012
上課時間 :9:30am-12:00nn(基本課)，1:30p.m.-4p.m.(導修課)
任教教授 :溫有恒教授(香港中文大學)
大學認可 :中文大學2學分
對像 :曾修讀本課程科目或特別優秀的高中學生，學員具備大學初等數學的知識
內容簡介 :本科將以複平面為起點，討論它的特殊幾何結構，以及其上變換的對稱性和保圓性，並介紹複平面與球面的對應和Mobiüs變換；掌握了這些知識後，同學便可從一個現代的幾何觀點去理解各種「非歐幾何」異常有趣的性質，包括：平行與超平行、非歐距離、常曲率空間和非歐三角學等。
Understanding Non-Euclidean Geometry
Course code:SAYT1214
Date: 20/6, 22/6, 25/6, 27/6, 4/7, 6/7, 9/7, 11/7, 13/7, 16/7, 2012
Time: 9:30am-12:00nn(Lecture),1:30p.m.-4p.m.(Tutorial session)
Teacher: Prof. WAN Yau Heng Tom(CUHK)
University Recognition: 2 credits of CUHK
Expected applicants:senior form students who have distinguished mathematical performance or have taken any previous EPYMT course
Introduction: Students are expected to have exposure to beginning knowledge of tertiary mathematics. Starting with special geometric structures of complex plane, students will learn symmetry and conformality on complex transformations; the intriguing correspondence between the complex plane and a sphere; and Mobiüs transformation. Then students would be introduced to a number of amazing properties of Non-Euclidean Geometry from a modern point of view, including hyper-parallelism, non-Euclidean distance, constant curvature, and hyperbolic trigonometry.
網上報名(Online application)
|