# 1111 Classical differential geometry <font color="#f00">This course is taught in English. Students can use mandarin in class, in presentation, and in writing the report. </font> ## 上課時間地點 Class Time and location <font color="#f00">Tuesday, 789 (3:30-6:20)</font>, SA215 ## 授課老師 Instructor * 王業凱 Ye-Kai Wang * 辦公室：科學一館 339 室 * Email: ykwang@math.nctu.edu.tw ## 助教資訊 Teaching Assistant No TA. ## 預備知識 Prerequisite Calculus and linear algebra ## 課本 Textbook Dirk J. Struik [*Lectures on Classical Differential Geometry*](https://www.amazon.com/-/zh_TW/Dirk-J-Struik-dp-0486656098/dp/0486656098/ref=mt_other?_encoding=UTF8&me=&qid=1660260312) Marvin Jay Greenberg [*Euclidean and Non-Euclidean Geometries: Development and History*](https://www.amazon.com/-/zh_TW/Marvin-Jay-Greenberg/dp/0716724464/ref=sr_1_3?crid=2D3NIHVUVPC2W&keywords=marvin+greenberg&qid=1660260815&s=books&sprefix=marvin+greenberg%2Cstripbooks-intl-ship%2C295&sr=1-3) ## 配分 Grades 1. Attendence, 40%. 3. Homework and presentation in the problem session, 50% 3. Report, 10%. On [*宇宙的詩篇*, 奧瑟曼 Robert Osserman 著 葉李華、李國偉 譯](https://bookzone.cwgv.com.tw/books/BCS029), translated from [*Poetry of the Universe: A Mathematical Exploration of the Cosmos*](https://www.amazon.com/-/zh_TW/Robert-Osserman/dp/0385474296/ref=sr_1_1?crid=32KX74XXU33JF&keywords=robert+osserman&qid=1660260510&s=books&sprefix=robert+osserman%2Cstripbooks-intl-ship%2C270&sr=1-1) ## 課程敘述 Description of the course We will use calculus and linear algebra (existence and uniqueness of differential equation at some point) to study 1. curves in space 2. surfaces in space The story ranges from 18th century to early 19th century, culminating in Gauss's theory of surfaces developed in 1820's. The other topic we will cover is the discovery of non-Euclidean geometry as described in Greenberg's book. ## Schedule | Week | Sections | | -------- | -------- | | 1 | 1-1~3 | |2|1-4~7| |3|1-8~11| |4|1-12~14| ###### tags: `past course`