Schools How can I find topics to write college essays?

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The discussion revolves around the desire to independently write college-level essays to enhance writing skills and mathematical knowledge, inspired by Cal Newport's advice on studying and essay writing. The individual seeks sources for essay topics, noting that Kenneth Rosen's Discrete Mathematics offers suggestions at the end of chapters. They express a long-term goal of writing books on popular mathematics and problem-solving. Additionally, they request guidance on writing effective college essays, as they lack a standard for comparison. A recommendation for the book "Math 1001" by Prof Elwes is also mentioned, which provides summaries of significant mathematical problems.
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Hi,

I was reading a book by Cal Newport which advises students on how to study in college. There's a whole section devoted to writing college essays, and how to research and collect material for it. The prospect of applying those ideas and writing essays excited me.

In the college system I'm in, we aren't assigned essays. So, I'd like to undertake this assignment independently. I need a source of good topics to write about. When I was reading Kenneth Rosen's Discrete Mathematics, there were suggestions for essays at the end of every chapter. I'm looking for similar kind of questions.

The reason I'm undertaking this is to improve my writing and my knowledge of mathematics. I like writing a lot but haven't written much after I choose Science after tenth grade. I want to write some books someday (Preferably on popular Maths or problem solving). This exercise would give me an opportunity to improve both my writing and my mathematical knowledge.

Also, give me some advice on how I can write good college level essays since I have no standard to compare myself with. It would also be a totally new thing for me.
 
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Perhaps you can find inspiration in looking over math topics in wikipedia.

Alternatively there's a book by Prof Elwes called Math 1001 which summarizes many of the great mathematical problems of today in small paragraph descriptions.

https://www.amazon.com/dp/1554077192/?tag=pfamazon01-20
 
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Thanks for the book recommendation.
 
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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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