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所在平台: Udemy |
课程主页: https://www.udemy.com/course/introduction-to-number-theory/
课程评论：没有评论
**课程总结：数论导论 (Introduction to Number Theory)** 本课程为数论领域的入门课程，特别适合已掌握基础数学知识的学习者。数论在各类竞赛中扮演着重要角色，其概念常常隐藏在题目之中，考验着学习者的观察力和解题技巧。 本课程以**问题解决**为导向，而非堆砌术语。讲师将从基础概念出发，逐步深入，并通过配套的例题和解题技巧，帮助学习者掌握解决数论问题的能力。课程内容涵盖了数论中的核心知识点，并融合了代数方法和重要定理，以期引出更广泛的结论。 **课程特色：** * **循序渐进：** 从易到难，内容通俗易懂，适合初学者。 * **实用性强：** 重点关注对竞赛有帮助的数论知识，培养解决实际问题的能力。 * **问题驱动：** 以解题为核心，而非理论的堆砌。 * **配套资源：** 提供视频讲座、PDF笔记和练习册，帮助巩固学习。 * **学习建议：** 部分内容可能需要重复观看以深入理解。鼓励在完成每个章节的学习后及时完成课后练习。 **课程主要章节（构成基础数学模块）：** 1. **整除性定理 (Divisibility Theorem)** 2. **最大公约数及其性质 (Greatest Common Divisor and its properties)** 3. **素数及其性质 (Primes and its properties)** 4. **模运算的理解 (Understanding of Modular Arithmetic)** 5. **模运算中的定理 (Theorems in Modular Arithmetic)** 6. **完全平方数和完全立方数 (Perfect Squares and Perfect cubes)** 7. **高斯函数及其性质 (Greatest Integer functions and its properties)** 本课程旨在帮助学习者建立扎实的数论基础，提升解题能力，并为进阶学习如国际数学奥林匹克竞赛打下坚实基础。学习过程中如有疑问，可通过课程问答区进行提问。 预祝学习愉快！
If You have understood Basics of Mathematics Course then Number Theory Course will go smooth.Number Theory is useful in a lot of competitive Exams. Even though it may not be directly listed in Syllabus, its concept appear as sub-parts of Problems. Number theory sometimes looks obvious and sometimes very difficult to observe. In this course I have moved from Concepts to Concepts covering supporting problems and techniques to handle certain situations. Number Theory certainly uses some algebraic techniques as well as useful theorems to deduce more conclusions. This Course include some very useful sections of Number theory and are very beginner level concepts. Yet the variety of problems this course aim to solve is huge. These sections of Number theory are quite useful for competitive Exams. I have made sure that my approach is problem solving and not jargon. There could be few lectures that you might need to watch more than once to grasp it completely. This course will build problem solving skills in you and will set you up to solve even Higher level exams like International Math Olympiads.This course has video lectures, notes in pdf and workbooks to help you test your understanding along the way. To Navigate it better, Basics of Mathematics is organised into the following Sections1) Divisibility Theorem2) Greatest Common Divisor and its properties 3) Primes and its properties4) Understanding of Modular Arithmetic5) Theorems in Modular Arithmetic6) Perfect Squares and Perfect cubes7) Greatest Integer functions and its properties Each Subsection will have a set of video lectures followed by Assignments based on what is being taught in the section. Attempting Assignment before moving to another section will be beneficial. Any doubts regarding the course can be asked in Q & A. I hope you enjoy the course,All the best
