介紹集合、函數、數系等基本觀念，同時學習數學證明的技巧，培養抽象思考與邏輯推論的能力，奠定學習高等數學如代數、分析、幾何、數論、組合學等數學理論與應用主題的基礎。

Introduce basic concepts such as sets, functions, and mathematical systems, and at the same time learn mathematical certification skills, cultivate the ability to abstract thinking and logical recommendations, and lay the foundation for learning advanced mathematical theories and application topics such as age, analysis, geometry, mathematics, composition and other mathematical theories.

學習邏輯、證明技巧、集合、函數的觀念，培養抽象思考與邏輯推論的能力。邏輯的內容主要為介紹基本邏輯敘述。集合部份為介紹什麼是集合、聯集與交集的意思及相關的性質。函數的內容為介紹什麼是函數、一對一、映成函數的意思及相關的性質。證明的技巧主要是講述如何證明一個問題，也會提及相關的邏輯觀念。

Learn the concept of logic, proof skills, collections, functions, and cultivate the ability to abstract thinking and logic recommendations. The content of the logic is mainly to introduce the basic logic description. The collection part introduces what is the meaning of sets, connections and intersections and their related properties. The content of a function is to introduce what is a function, one to one, and the meaning of a function and its related properties. The skills of certification are mainly about how to prove a problem, and also mention related logical concepts.

書名： A Transition to Advanced Mathematics, 8th Edition
作者： Douglas Smith, Maurice Eggen & Richard St. Andre
（滄海書局代理）

Book name: A Transition to Advanced Mathematics, 8th Edition
Author: Douglas Smith, Maurice Eggen & Richard St. Andre
(Agent from the Hsiaohai Books Bureau)