Reignite Your Love of Math: Tips to Get Motivated & Textbook Suggestions

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To reignite motivation for studying higher-level math, starting with foundational concepts is essential. Emphasizing enjoyment in learning can help overcome discouragement from challenging proof exercises. Engaging with easier, more enjoyable materials before tackling rigorous topics is recommended. For a fresh start, exploring textbooks that present multivariable calculus through differential forms can provide a solid base. Following this, a gradual progression into linear algebra, abstract algebra, topology, differential geometry, and real/complex analysis is advised, prioritizing texts that balance fun with rigor. This approach fosters a positive learning experience and builds confidence in mathematical skills.
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How can i get started on studying higher level math again? i got discouraged by proof exercises on the textbooks, i need a fresh start. i feel unmotivated on the subject i thought i loved. how can i motivate myself again? Just about any way to motivate myself would do.

also, could i have a list of textbooks on linear, abstract algebra, topology, differential geometry, real/complex analysis. i have realized that the list needs to start easy and FUN then on to the rigorous parts later.

But first i need a nice multivariable calculus textbook based on differential forms.
 
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I'd say start back with the basics. You know, what you find easy. Then move your way up.
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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