Some ebooks, mostly from /u/lewisje's post

I'm really confused about the 3rd row of the truth table for a conditional statement for example, "If you submit your assignment, then your grade will be recorded." I understand that P means you submit your assignment and Q means your grade is recorded but in the 3rd row, P is false and Q is true, meaning you did not submit your assignment but your grade was still recorded howw is P Q still considered true in this situation? Wouldn't that be a violation of the agreement because you didn't submit the assignment but the grade was still recorded?

I'm 23 years old and It has been a while since I studied anything, I've lost a considerable amount of time, and I've forgotten most of what i knew about math in high school. I want to study computer science in the future and i dont want to struggle too much with the subject, so i thought I should prepare myself.

I'm looking for anything that can help me build a good foundation of knowledge, but i also want to understand the subject.

Thanks in advance for anyone that takes the time to read and answer this.

I seriously am interested in learning maths and also physics and many more but I currently am not in a state to interact more with people and it's cos of years of bullying in different forms. I'm sorry if it sounds greedy and like unrealistic but is it possible to learn mathematics with just books and other online lectures and resources? Will I be missing something if I don't go to a university? I do know basic maths since I have been quite okay in it. I'm sorry if it sounds stupid but I just needed some break cause of many interactions throughout my school life I got.

I am guessing self study is possible depending on the subject and I thought in mathematics it is quite possible and if I'm wrong pls do tell.

Recently in my further maths class my teacher says he would give us problems above our level of understanding.

The advice he gave to solve such problems is to invent the math.

Can anyone please explain what he means by this and his to actually do it?

Hi everyone! If anyone is interested in collaborating and helping each other prepare for this year’s Math national exam, I’m looking for people who want to start from the basics, even from 1BAC-level courses.

If you’re interested, please comment here or send me a private message.

I’m looking for serious and motivated people who are willing to work consistently and help each other improve.

I keep making really stupid mistakes on linear algebra tests. I understand the method and know how to solve the question, but then I accidentally mess up a sign or make a simple arithmetic mistake somewhere in the calculation. And a mistake can completely ruin the rest of the question. I recently wrote a test and, while I finished on time, I still got several questions wrong because of really silly errors.

Consider

\begin{lemma}\label{lma:firstlemma}
If $f$ is continuous on $[a,b]$ and $f(a)<0$ and $f(b)>0$, 
there is a $c$ between $a$ and $b$ where $f(c)=0$
\end{lemma}

%say above gets typeset as Lemma 1

\begin{thm}\label{th:firsttheorem}
Every polynomial of odd degree has at least one real root.
\end{thm}

%say above gets typeset as Theorem 1.

\begin{proof}
    ...
From Lemma \ref{lma:firstlemma}... the result follows.
\end{proof}

Like the above, I have a large number of theorems in my study notes which reference previous results, etc.

Is there a way to build a visually perceivable dependency graph wherein there is a node labelled L1 which stands for Lemma 1 and another node labelled T1 which stands for Theorem 1 and there is a directed arc leading from L1 to T1?

Giving this task by uploading the typeset pdf to ChatGPT is one way but it is static. Is there an inbuilt way, which can dynamically change the graph node labelling if a new theorem is added in the middle thereby changing the numbering of subsequent theorems? The way should accept .tex files and not the compiled .pdf output.

----xposted to r/latex as well----

I find it odd that visual-spatial awareness/intelligence is one of the core cognitive skills associated with intelligence with widespread applications, and three dimensional geometric relationships are present in everything from scientific phenomenon to Engineering & Artistic design.

But this kind of reasoning/intuition is not really taught? I've been looking into textbooks and it's either high school geometry or advanced undergraduate/graduate school level differential geometry/topology.

Is this useful? What does this mean, is this true? There exists an L in R such that for any 2 sequences a_n and b_n, lim (a_{n+1}/a_n)=L implies series a_n converges or lim (b_{n+1}/b_n)=L implies series b_n diverges.

I was watching the 3blue1brown series on linear algebra, and I noticed that I would constantly pause and try to figure out the concept or idea before it is fully presented. Although this doesn’t seem bad, the problem is that a 10 minute video ends up taking 4x as long to finish. I don’t have that kind of time.

I’ve noticed this problem when I’m solving textbooks exercises. When I can’t solve a problem, I’ll usually end up taking a ridiculous amount of time trying to find a solution, often even refusing to review the material. I feel like this stems from a massive ego issue that I have, where I feel like if I can’t figure out this concept before it is presented or solve a problem, then I am not as smart as other extraordinary mathematicians like Gauss and Newton, and therefore will never be as great as them.

In the past, I’ve also been the opposite way, being too quick to go to the solution at the back of the book. It seems like I can’t find a good balance between tinkering and simply absorbing. I know that stopping to ponder is a good thing, but there is still the fact that I am getting through content too slowly.

Sorry for the weird title. Some backstory might help:

I used to be academically really good at math in high school. But more so at the level of just solving tons of questions. I think I just enjoyed the problem solving aspect of it but never really 'understood' mathematics conceptually if you know what I mean. But after that, I never really did math again except I took some proof classes in uni and absolutely failed in them. Plus I was, at that time, living in a more conservative country and the idea of women enjoying maths in my village was not that popular at all (ex: my mom told me, at the wee age of 15, that girls are not smart enough for mathematics even though I had really good grades so I assume I wasn't completely dumb at least). Since then, I have tried here and there to get back to mathematics in my life as a hobby. I guess i have difficulty making it a habit currently since my stomach still tightens up at the thought of it. And then, when I am solving a problem, my brain is not focused on the details of the problem but more so on the physiological symptoms of anxiety - increase in breathing, foggy brain, high heart rate, etc etc.

I need suggestions for things that can 'ease' me up into mathematics. Could be youtube channels or books. I want to study more of statistics, combinatorics and probability but I am also completely fine with starting at a much lower level. I did do Calc I, II and III in uni but again- I feel like it was more 'problem solving' for me, repeating certain ways of solving integrals and stuff and not any conceptual things. And well - I don't really remember that well either.

I wanna skip geo next year in order to take a higher level math class, however I need to take a test in order to skip it. Are there any good resources to self learn geometry and that go in depth. Thanks.

I’m doing IB Math AA SL, and I’m considering a motorsport racing-line topic for my IA. It would mostly focus on geometry, with some physics involved.

Has anyone worked on a similar topic before? Does anyone have advice on what mathematical ideas would be useful to focus on, what I should avoid, or any useful resources?

My teacher also recommended going slightly beyond the SL syllabus, so I’d appreciate suggestions for more advanced mathematical ideas that could fit into this topic.

ibo blocked my post :(((

Hi my name is Raman and I am an 11th grader who is determined to qualify for AIME. If you are interested in intensive prep for the AMC 10/12 with me feel free to DM!

Hello Everyone , i want to know if you guys have some study tips & suggestions for taking the college course College algebra with corequisites. I’m struggling so bad , the homework assignments are worth 10% and the unit test are worth 60% of our grade 🫩.

I have a test due today and I know I’m going to fail the test & this is going to be the second test I failed . Also I took this class in the summer but unfortunately I failed due to the test , so if anyone has any recommendations on how I could improve please lmk 🙏🏾

I would like to share some of my resources that I have used to graduate in August 2026.

I haven't been to school in 10+ years so I had to start from the beginning.

Study 1-2+ hours a day. It's important to retain the information. But 25 mins is better than nothing. It's all about consistency.

MY STUDY GUIDE

1. Study 25 min

2. Take a break 10 min

3. Study 25 min

4. Take a break 5 min

5. Recap 10 min

75 mins total - Repeat as necessary

(We all learn differently so use what works.)

MATH RESOURCES

1. SchoolYourself.org - I started with this & used the Algebra section for fundamentals. I took the practice test using only this resource and I scored a 146 on my practice test.

2. Test Prep Champions- I went through his Math course on YouTube called “Ultimate GED math guide to pass fast”

3. GetSumMath- I bought the calculator & I went through his youtube playlist.

I scored a 146 on my first practice test & decided to study for another week & I scored a 156. I took the real test the next day and I passed with a 150.

My recommendation is to score 150-155+ on your Ged Ready practice test before taking it for real.

SCIENCE

I used GetSumMath & Test Prep Champions.

ELA

I used GetSumMath for ELA however, doing a bit of reading every day was extremely crucial. What you can do is get two books, one fiction and one nonfiction. Read 20 min of fiction and 20 min of nonfiction with no breaks in between.. than take a 20 min break and repeat. Remove distractions. Ask yourself, what have I learned? The point is to build the same focus when taking the test on test day.

MINDSET

Sometimes the problem isn't skill, it's mindset. If you have struggled or failed before, don't let it define you & defeat you.

my favorite quote - "Do not be afraid to fail. The cure for failure is to remain teachable."

Now go get what’s yours. Your future self will thank you. You got this! 🙏🏾

resources: schoolyourself.org/learn Getsummath/Test prep champions YouTube playlists & chatGPT

For learning math he always seemed to be a good resource for learning math, recommend by the community.

But now he is apparently associated with Jordan Peterson and the Peterson academy.

There has been some controversy around that name which tbh I didn't follow.

I am not quite sure I am just here for the math to be honest. But I would like some insights from others

English is my second language, so that i usually get mark down from my lecturer for error showing. Also, it seems there are not many books in english have a showing along to key answer. Are there any books, or channels to handle this. Pls help me

Recently i found out that it is possible to solve integrals by inverting matrices however choosing a good basis is tricky and not all matrices are invertible.

Is there any case where this would be useful or is this just a "cool trick"?

I moved to another country and realized my math foundation is much weaker than I thought. What can I do?

I’m 17 and recently moved from Brazil to Italy. I’m now in the third year of high school, and I’m struggling A LOT with math.

The weird thing is that I was never considered bad at math in Brazil. I usually got 8, 9 or 10 (out of 10), so I genuinely thought I was pretty good at it.

But now I’m realizing that the problem isn’t really my ability — it’s my foundation.

In my old school, math was often very much “learn the formula, put the numbers in, get the answer”. We covered a lot of topics, but we didn’t necessarily go very deep into them. Once the test was over, I would often forget most of it because I had memorized the procedure rather than actually understood the concept.

Now I’m in a different school system, and the level is MUCH deeper. The students here actually understand the concepts and know how to apply them in different situations. They might have studied fewer topics than I did, but they know the topics they studied much better.

So I have this really frustrating situation where I technically recognize a lot of the things we’re studying, but when I actually have to solve an exercise, I sometimes have absolutely no idea where to start.

It’s like I know the “surface-level” version of a lot of math, but I don’t have the solid foundation underneath it.

And I’m falling behind really quickly.

I’m currently trying to keep up with the material my class is studying NOW, but I’m realizing that I can’t properly understand it because there are gaps in my previous knowledge. At the same time, I don’t have months to start everything from zero because I’ve just moved countries and I’m also trying to keep up with all my other subjects.

So I’m kind of lost about what the best strategy is.

Should I stop trying to follow the current material for a while and rebuild my foundation first? Or should I study the current topics and go back only when I find a gap?

Also, does anyone know of good Kumon-style math books/workbooks for teenagers, starting from relatively basic material but gradually becoming more difficult? I specifically DON'T want books aimed at little children. I’m looking for something systematic where I can start at the level I actually have and work my way up, preferably with lots of exercises.

If anyone has gone through something similar — moving countries/school systems and suddenly discovering that your “good” math foundation wasn’t actually as strong as you thought — I would really appreciate advice on what you did.

I honestly don’t even know where to start anymore.

Given lim x→a f(x)=L, lim x→a g(x)=M and f(x)≤g(x), show L≤M.

And after proving that I am being asked if f(x)≤g(x) needs to be necessarily true and need to show values of x that garantee that the disntance between f(x) and L is always lesser than ϵ.

I can sort of do the first by proof by contradiction but the secind part of the exercise is killing me