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所在平台: Udemy |
课程主页: https://www.udemy.com/course/number-theory-fundamentals/
课程评论：没有评论
**课程名称：数论基础** **课程概述：** 本课程旨在通过一系列 guided problem-solving sessions，帮助学习者掌握数论的基本概念。课程内容涵盖了国家和国际数学竞赛所需的全部理论知识，包括整除性问题、同余、模运算、素数、算术函数以及二次互反律。此外，课程还提供了大量竞赛题目，以加深学习者对这些概念的理解。 课程结构分为“理论”和“解题”两个部分，学习者可以按顺序学习，也可以根据自己的节奏在两个部分之间切换，动手解决问题。讲师会根据学员需求增加更多解题视频。 **学习要求：** * 高中的代数知识。 * 鼓励学习者准备纸笔，动手尝试题目，再观看解答。 **学习方式：** * 理论讲解与解题实践相结合。 * 鼓励将理论与实践结合，而非生搬硬套。 **课程优势：** * 提供丰富的竞赛题目，助力竞赛备考。 * 注重实践，培养解决问题的能力。 * 讲师乐于根据学员反馈调整和增加课程内容。 **先修知识：** * 高中代数基础。 **学习建议：** * 积极动手解决问题，这是理解和享受数论的关键。 * 遇到疑问可随时向讲师提问，共同促进课程发展。 **（本课程无固定大纲，内容会根据学习者需求调整和扩展。）**
Learn the basic concepts in Number theory through a set of guided problem-solving sessions. We cover all the theory required for National and International Math Contests. The course covers the standard curriculum of Divisibility problems, congruences, modulo arithmetic, prime numbers, arithmetic functions and even the Quadratic Reciprocity Law. You will also find lots of contest problems to help you develop a better understanding of these ideas. The course is divided into two sections - Theory and Problem-solving lectures. You can do them in a sequence or you can switch between the two sections and get your hands dirty with some problems. I will be adding more problem-solving videos to the course as students join in. Feel free to reach out to me on Udemy in case you need help with a particular topic and I will be happy to add more content around that topic. This course is a collaborative learning experience and your feedback makes the course better. There are very few pre-requisites for the course. Some familiarity with high school algebra is all that is required for understanding the topics. It is not possible to truly understand and enjoy Number Theory without solving problems, so I would encourage all students to work through the videos with pen and paper nearby, so that they can try out the problems themselves before looking at the solutions. Happy learning.
