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所在平台: Udemy |
课程主页: https://www.udemy.com/course/real-analysis-aka-advanced-calculus-topics/
课程评论：没有评论
课程名称：实分析（高级微积分主题） 概述：本课程要求学员具备扎实的代数和微积分基础知识，特别是美国课程中教授的内容。课程将涵盖多个数学定义，帮助学员理解每个术语，并深入掌握其正式定义和理解方式。在掌握定义后，讲师将通过讲座和视频，结合各种大学教材中的例子，展示大多数定理的证明过程。学习过程中，明确每个定义的重要性及定理的意义至关重要。本课程旨在帮助学生理解并能够准确书写在高中和大学期间学习的所有数学定义，为进一步学习高级数学打下基础。众所周知，进一步深入数学研究的重点在于如何证明一个定理，而不仅仅是解决问题。例如，我们都知道偶数是2的倍数。在本系列课程中，学员将首先学习偶数的定义，并理解该定义中的每个术语，只有在理解的基础上，才能进行证明。让我们一起愉快地学习吧！
You will need strong knowledge of definition from algebra and calculus courses thought in USA. We will be going over several definition, understand each term and proceed with actual definition and proper way of understanding them. Once these are done, I will be working on lectures and videos with examples for most of the theorems. These examples will be taken from various college level text-books and written in my own way of proving a math theorem or statement. It is therefore important to get all the definition made clear and know what each theorem means.This course is designed to help students understand and be able to write all the math definition they have learned all throughout high-school and college prior to going into Advanced level math. As most students may be aware, if you plan to go further into math, we are more interested to show others how we can prove a theorem and not just being able to solve a problem. For instance, we all know that even numbers are multiples of 2 to any given integers. In this series of courses, you will first learn the definition of even numbers and be able to understand each term in that definition. Only then you are able to prove something.Let's have fun.
