使修課同學瞭解幾何學在文明中所扮演的角色，並學習相關的幾何概念與方法。對於應用數學系的同學而言，修習本課程將有助於以宏觀的角度整合在數學專業學科所學習到的專業知識; 對於其他學系選修本課程的同學，能藉此融通過去所學數學的發展歷史與影響，並學習到數學嚴謹的思考模式與方法，亦為本課程的重要目標。而透過分組討論、學習與發表，也希望培養修課同學溝通與科學敘事的能力。

課程內容設計 - 兼顧歷史素材與基本理論的介紹，為定位於傳統數學專業課程與數學類通識課程之間的專業通識課程。

修課學生族群 - 可區分為主修數學的同學學與非主修數學的同學（歡迎對數學有興趣，或修過通識自然數學類課程同學選修）兩大類別。

合作學習規劃 - 採兩個類別混合分組的方式，由主修數學的同學協助基本理論的理解，由非主修數學的同學依據各自的學習經驗，協助提供相關應用題材。同時透過彼此合作，完成幾何概念及其發展歷史與應用的學習。

This course enables students to understand the role of geometry in civilization and learn related geometric concepts and methods. For students from the Department of Applied Mathematics, taking this course will help integrate the professional knowledge learned in mathematics majors from a macro perspective; for students from other departments taking this course, they can integrate the development history and influence of mathematics they have learned in the past, and learn rigorous thinking models and methods in mathematics, which is also an important goal of this course. Through group discussions, learning and presentation, we also hope to cultivate the communication and scientific narrative abilities of course students.

Course content design - taking into account the introduction of historical materials and basic theories, it is a professional general course positioned between traditional mathematics professional courses and mathematics general courses.

The group of students taking the course can be divided into two categories: students majoring in mathematics and students not majoring in mathematics (students who are interested in mathematics or have taken general natural mathematics courses are welcome to take elective courses).

Cooperative learning plan - Mixed grouping of two categories, with students majoring in mathematics assisting in the understanding of basic theories, and students not majoring in mathematics assisting in providing relevant application topics based on their respective learning experiences. At the same time, through mutual cooperation, students can complete the study of geometric concepts, their development history and applications.

1. Alexander Ostermann and Gerhard Wanner: Geometry by its History. Undergraduate Texts in Mathematics, Springer 2012. （可由本校圖書館網站下載電子書）

2. John Barnes: Gems of geometry (2nd ed.). Springer 2012.（可由本校圖書館網站下載電子書）

3.William L. Hosch (ed.): The Britannica Guide to Geometry (Math Explained). Rosen Education Service 2010. （可由本校圖書館網站下載電子書）

1. Alexander Ostermann and Gerhard Wanner: Geometry by its History. Undergraduate Texts in Mathematics, Springer 2012. (The e-book can be downloaded from the school library website)

2. John Barnes: Gems of geometry (2nd ed.). Springer 2012. (The e-book can be downloaded from the school library website)

3.William L. Hosch (ed.): The Britannica Guide to Geometry (Math Explained). Rosen Education Service 2010. (The e-book can be downloaded from the school library website)