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Difficulty Learning Mathematics Without Solutions

In this video I respond to another subscriber that is having difficulty with math books that do not contain solutions. Based off of my past experience studying mathematics, I believe this is due to this user's lack of understanding on how to study. My remedy to this situation is to ensure understanding of theorems, propositions, examples, proofs, etc. This should make most exercises much easier to solve. Additionally, you can still use and reference outside resources such as ChatGPT, textbooks, preliminary/supplementary reading books, online resources such as Reddit, Mathstackexchange, etc. This is the approach that I take, I do not mean to imply that this is the ONLY way to study or learn mathematics. Feel free to share your methodology down below. I hope this video was useful to not only the user that posed the question, but to anyone else that may have found themselves in a similar situation. Link to our Patreon:   / mathematicaltoolbox   Affiliate links: Stochastic Geometric Analysis by Calin: https://amzn.to/4cVpMy6 Timestamps: 0:00 Summary of the comment 0:50 My analysis of the situation 1:45 Become proficient 4:48 Should you know the solution? 6:54 Verifying a proof with the solutions 7:32 Abusing solutions 8:34 Closing comments