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Roadmap for self-learning pure mathematics from high school level onward. [closed]

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Motivation:- I’m making this post because I know a lot of people who are genuinely interested in learning pure math but have no formal background or experience or help. Many of them are unsure how to start or what order to follow, and they’re often overwhelmed by the sheer number of topics and resources out there or can't even find a road map easily. I thought it could be helpful to create a roadmap to guide self-learners through a structured progression in mathematics.


I’m looking to put together a roadmap for self-learners who want to start studying pure mathematics independently, beginning from high school fundamentals and advancing into more complex areas. This could be incredibly helpful for students and enthusiasts who want a clear, structured path through mathematics that don't have access to a real life guidance.

Here’s what I’m envisioning for each stage of the roadmap:

  1. List of pure math topics/courses and prerequisites for each one.
  2. Recommended books (and lectures if available).
  3. Problem books for further practice, if available.
  4. Advanced pathways for further study.

My hope is that this roadmap could serve as a go-to resource for anyone starting their journey in pure math, giving them a clear sense of direction and valuable resources.

Any guidance, recommended sequences, or additional suggestions would be much appreciated!


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