Other Micromass' Insights on how to self-study mathematics

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The discussion focuses on effective strategies for self-studying various branches of mathematics, including high school math, calculus, analysis, geometry, and algebra. Key points include the importance of structured resources and guides that outline essential topics and concepts. Participants express appreciation for the insights provided, noting that they offer valuable tips and tricks for self-learners. There is a suggestion for the inclusion of probability and statistics in future guides, highlighting a perceived gap in the current offerings. Additionally, there is interest in joining an online math community for further support in self-study endeavors. Overall, the conversation emphasizes the utility of comprehensive resources and community engagement in enhancing the self-study experience in mathematics.
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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.
 
The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...

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