希望同學能藉由此課程學會如何用數學的語言與符號來論證，訓練邏輯推理與分析的能力，與如何敘述一個完整證明的技巧，以及集合、函數、等價關係與集合基數的概念，學會這些對於同學日後學習其他數學專業科目將有很大的幫助。I hope my classmates can learn how to use mathematical language and symbols to demonstrate the ability to train logical reasoning and analysis, and how to describe the skills of a complete proof, as well as the concepts of sets, functions, equivalence relations and collective radix. These will be of great help to my classmates in studying other math majors in the future.
The main content for the collection function, as well as proof of skills. The part of the collection is to introduce what is the meaning of the collection, the collection and the intersection and the related nature. The content of the function is to introduce what is the meaning of the function, the one-to-one, the mapping function, and the related properties, as well as the notion of cardinality. Proven skills are mainly about how to prove a problem, but also related to the logic of the concept.
書名： A Transition to Advanced Mathematics, 8th Edition
作者： Douglas Smith, Maurice Eggen & Richard St. Andre
出版商（出版年）：CENGAGE Learning (2014)
Title: A Transition to Advanced Mathematics, 8th Edition
Author: Douglas Smith, Maurice Eggen & Richard St. Andre
Publisher (Year of Publication): CENGAGE Learning (2014)
(Sea Book Agency)
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