本課程主要研究對象是代數結構，如群、環、體、模、向量空間以及代數等。
這些個代數結構之中，有些早在十九世紀時就已經存在有正式的定義及應用。
事實上，其存在乃因應嚴格化要求而起；同時應用的需要也會產生新的代數。
現今，我們可以說，幾幾乎乎沒有那一個數學的分支是不用到代數學的結果。
本課程將介紹最基本的幾個代數結構，群、環、體之基本理論及些許的應用。
不管你將來要走向那一個行業，此種訓練對你百分之百是必要且大有好處的。
讓我們以嶄新的心情，用有限理性來探討那深藏無限奧祕又豐盛無比的真理。The main research objects of this course are genetic structures, such as groups, circles, bodies, modulars, vector spaces, and genetics.
Some of these genomic structures have formal definitions and applications as early as the nineteenth century.
In fact, its existence arises from strict requirements; at the same time, the need for application will also produce new generations.
Nowadays, we can say that few branches of mathematics are almost without the result of algebra.
This course will introduce the most basic principles of generation structures, the basic theories of groups, circles, and bodies, and some applications.
Regardless of which industry you are going to, this kind of training is 100% necessary and beneficial to you.
Let us use limited reason to explore the truth hidden infinity and incomparable secrets.
介紹代數學的基本理論
Introduction to the basic theory of mathematics
Textbook:（滄海書局代理）Minking Eie & Shou-Te Chang
A Course on Abstract Algebra, World Scientific 2010
Textbook: (Agent from the Yanghai Books Bureau) Minking Eie & Shou-Te Chang
A Course on Abstract Algebra, World Scientific 2010
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| 期中考試(100分鐘)期中考試(100分鐘) Midterm exam (100 minutes) |
30 | |
| 期末考試(100分鐘)期末考試(100分鐘) Final exam (100 minutes) |
30 | |
| 出席測驗出席測驗 Attend the test |
40 |
