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 algebraic structures, such as groups, rings, solids, modules, vector spaces, and algebra.
Some of these algebraic structures had formal definitions and applications as early as the 19th century.
In fact, its existence is due to strict requirements; at the same time, the needs of application will also produce new algebra.
Nowadays, we can say that there is almost no branch of mathematics that does not use the results of algebra.
This course will introduce the most basic algebraic structures, the basic theory of groups, rings and bodies and some applications.
No matter which industry you want to go to in the future, this kind of training is 100% necessary and beneficial to you.
Let us use a new mood and limited rationality to explore the truth that contains infinite mysteries and is extremely rich.

介紹代數學的基本理論

Introducing the basic theories of algebra

Textbook:（滄海書局代理）Minking Eie & Shou-Te Chang
A Course on Abstract Algebra, World Scientific 2010

Textbook: (Agent of Canghai Book Company) Minking Eie & Shou-Te Chang
A Course on Abstract Algebra, World Scientific 2010