Micromass' Insights on how to self-study mathematics

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Discussion Overview

The discussion centers on self-studying mathematics, with a focus on various topics including high school mathematics, calculus, analysis, geometry, and algebra. Participants share resources and insights related to effective self-study strategies.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant shares multiple links to insights on self-studying different areas of mathematics, suggesting a structured approach to learning.
  • Another participant expresses appreciation for the insights, indicating they found useful tips and tricks for self-study.
  • A different participant inquires about joining an online math community on Discord, indicating interest in collaborative learning while self-studying.
  • One participant suggests that an insight on probability and statistics would be beneficial, noting uncertainty about its coverage in existing materials.
  • A participant mentions starting a proof book for introductory analysis, indicating engagement with the material.

Areas of Agreement / Disagreement

Participants generally agree on the value of the shared insights for self-study, but there are suggestions for additional topics that could be covered, indicating some areas of disagreement regarding the completeness of the existing resources.

Contextual Notes

Some participants express uncertainty about the coverage of probability and statistics in the provided resources, highlighting potential gaps in the material available for self-study.

Who May Find This Useful

Individuals interested in self-studying mathematics, particularly those seeking structured resources and community support in their learning journey.

micromass
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How to self-study mathematics
https://www.physicsforums.com/insights/how-to-study-mathematics/

How to self-study basic high school mathematics
https://www.physicsforums.com/insights/self-study-basic-high-school-mathematics/

How to self-study calculus
https://www.physicsforums.com/insights/self-study-calculus/

How to self-study analysis. Part I: Intro analysis
https://www.physicsforums.com/insights/self-study-analysis-part-intro-analysis/

How to self-study analysis. Part II: Intermediate analysis
https://www.physicsforums.com/insights/self-study-analysis-part-ii-intermediate-analysis/

How to self-study geometry. Part I: Pure geometry
https://www.physicsforums.com/insights/self-study-geometry-part-pure-geometry/

How to self-study algebra. Part I: Linear algebra
https://www.physicsforums.com/insights/self-study-algebra-linear-algebra/

How to self-study algebra. Part II: Abstract algebra
To appear soon.
 
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These insights are really worth reading for anybody who is self studying, thanks. I got a lot tips and tricks which I can apply.
 
I heard from another user that you run an online math community on discord. As I'm self-studying math right now, I would be very interested in joining. Would you be so kind as to send me an invite?

Anyhow, thanks for your guides. They are very helpful.
 
Someone should write an insight for probability and statistics too. I am not sure if it is covered in any of the above areas. I have begun the proof book for intro to analysis.
 

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