Key facts for Summer 2018:

Lecturer: Prof. WAN Yau Heng Tom
Date : 6, 9, 10, 13, 14, 16, 17, 20, 21 August 2018
Examination Date :24 August 2018
Time : To be announced
Tuition fee : To be announced

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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.

本科以複平面的特殊幾何結構為起點，討論複數變換的對稱性和保圓性，並介紹複平面與球面的對應，以及學習莫比烏斯變換。掌握這些知識後，同學便可從現代的幾何觀點，理解「非歐幾何」各種異常有趣的性質，包括：平行與超平行、非歐距離、常曲率空間和非歐三角學等。