準同型 寫像의 考察 : 高等學校 數學敎科 內容을 中心으로 = On Homomorphism : With Center in the Curriculume of the High School

다국어 초록 (Multilingual Abstract)

Homomorphism is conception that play a essential part commonly in every field of the modern mathmatics we can define it's conception as conserving algebraic structure and concurrently one algebraic system being corresponded other algebraic system.
Reviewed in this paper are group homomorphism, ring homomorphism, vector-space homomorphisrn. and homomorphism discovered mathmatical curriculum of high school.
As a result of review
there is a discovery that homomorphism has application to De Morgan's law, distributive law, power's function, logarithmic function. differential, intergration, probability, complex, and so on in mathmatical curriculum of high school.
Accordingly, it may be atfirmed that when conception of homomorphism is educated in the teaching front of middle & high school, it aids studing concrete concetion without reluctance in advanced school or callage.

목차 (Table of Contents)

• 목차
• Ⅰ. 序論 = 1
• Ⅱ. 本論 = 2
• A. 寫像과 二項演算 = 2
• 1. 寫像 (mapping) = 2
• 2. 二項演算 (binary operation) = 3
• 3. 數集合의 代數的 構造 = 4
• B. 準同型寫像 = 6
• 1. 準同型寫像의 槪念 = 6
• 2. 群에서의 準同型寫像 = 7
• 3. 環에서의 準同型寫像 = 11
• 4. 벡터空間에서의 準同型寫像 = 14
• C. 高等學校에서 準同型寫像의 考察 = 15
• Ⅲ. 結論 = 21
• 參考文獻 = 22
• ABSTRACT = 23