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我们为什么要做证明呢?

Why do we do proofs?
课程网址: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=7fb19fcb...  
主讲教师: Feinstein, Joel
开课单位: 诺丁汉大学
开课时间: 2017-03-31
课程语种: 英语
中文简介:
这节课的目的是激励学生理解为什么我们可能想要做证明,为什么证明是重要的,以及他们如何能帮助我们。特别是,学生将学到以下几点:证明可以帮助你真正看到为什么一个结果是正确的;容易表述的问题可能很难解决(费马最后一个定理);有时,那些在直觉上显而易见的陈述可能被证明是错误的(医院悖论);问题的答案通常关键取决于您正在处理的定义。目标受众:适合任何具有初等代数和素数知识的人,通过学习高级数学可以获得这些知识。
课程简介: The aim of this session is to motivate students to understand why we might want to do proofs, why proofs are important, and how they can help us. In particular, the student will learn the following: proofs can help you to really see WHY a result is true; problems that are easy to state can be hard to solve (Fermat's Last Theorem); sometimes statements which appear to be intuitively obvious may turn out to be false (the Hospitals paradox); the answer to a question will often depend crucially on the definitions you are working with. Target audience: suitable for anyone with a knowledge of elementary algebra and prime numbers, as may be obtained by studying A level mathematics.
关 键 词: 证明问题; 表述; 怎样作证明; 作证原因
课程来源: 诺丁汉大学公开课
最后编审: 2018-12-15:wxi
阅读次数: 27