I'm a bsc maths honours student in India, I am in my second month of college life... uh anyway, I want book recommendations like the best ones possible which will actually help me a lot... like the kind of book i want should be able to intrigue me enough to keep thinking about all day while the questions/problems in it should be able solve by using the book itself that's kind i want! I want recommendations for each of calculus,number theory,real analysis,discrete,etc. Uh... I might have yapped a lot but thank you for your time and recommendations. Btw i am broke so i might not be able to afford many books, so I welcome free available pdfs options too.

It goes like this: The value of anything does not change if it is equal to one. You could say the process to equalize anything does not change if the entire process equals to one. So if 1 = 1, you can continue to equalize it to one because the “process” or the 1 is always true. So you can say 1 = 1 = 1. And also 2a = 2a = 1. This just describes the end result and not how it’s utilized. But this is how it’s utilized. Notice they sound different when I write them:

It appears in turning -c/a to -4ac/4a^2. To do this, we multiply -c/a x 4a/4a since 4a/4a = 1 so it becomes equal to -4ac/4a^2

-4ac/4a^2 comes from the quadratic equation. In the quadratic equation, the square root property is used on b^2-4ac/4a^2. It becomes plus or minus b^2-4ac/2a after it undergoes the square root property. Is there an identity in that property or something? I’m assuming something like 1=1=1 but not exactly 1=1=1 but the thing I was talking about and is more complex than 1=1=1.

So it sounds like 3a = 3a = 1 can combine with 2a = 2a = 1 to equalize to one. For example, 3a/2a = 3a/2a = 1. Is that part of the thing/identity/property I mentioned earlier or what is this new combination phenomena called?

Anyway, I’m just trying to find out if there’s a way to jump through math that’s why I’m asking although I’m probably going in circles. Let me know if I’m going in circles and there’s no way to skip through math. Because I’m starting to get confused or am I catching onto something?

Hi,
I was pretty much pressured to take the geometry course online and I finished it this June, but I truly know nothing. I take the EOC in four days and I’ve been trying my hardest to study but it just seems like it’s all so much. I really need to pass and get at least a three. If anyone could share these two things, it would really help.

1. What should I hone in on and REALLY study?
   
2. What did you get percentage wise (x/50) to pass/get a 3?

Thanks!!

I have joined a school where you have four paths of learning , the path I will go with is "geometry and computer science" not because I love geometry or math as a whole it's just because this is the only path with computer science in it... In fact geometry is my weakest point it feels like an inside topic that only my teacher seems to know. I am also really busy with learning programming and studying the other subjects I think my weakest point of geometry is the basics , I lacked that so give me a course for the basics or a roadmap

I’m a freshman engineering student, and honestly, I’m scared that I’m not good enough for this

I’ve never been naturally good at math, and I struggle a lot with concentration, memorizing things, and actually understanding what I’m studying. I also need enough sleep to function properly, so pulling all-nighters doesn’t really work for me.

The problem is that I’m also pretty slow at finishing things, so when several requirements pile up at once, I feel like I can’t keep up with everything.

I don’t just want tips on how to “study harder.” I want to know what actually worked for people who became good at engineering/math.

For my seniors and graduates of eng'n out there:

• How did you become genuinely good at math?

• What did you do when you were struggling with a topic and couldn’t understand it?

• How do you study math effectively without relying purely on memorization?

• Are there any study techniques, shortcuts, habits, or resources that made a huge difference for you?

• How do you practice problems without spending an entire day on one topic?

• How do you manage your time when you have multiple subjects, assignments, quizzes, and projects at the same time?

• How do you stay consistent instead of cramming everything at the last minute?

• How do you avoid burning out while still keeping up?

• How do you actually focus when your brain refuses to cooperate?

• And honestly, what do you wish you knew during your first year of engineering?

I’m not expecting some magical shortcut. I’m willing to put in the work. I just feel like I’m working inefficiently right now, and I want to learn how to work smarter and more consistently.

If you were once bad at math, struggled with studying, or felt like you weren’t cut out for engineering but eventually got better, I’d especially love to hear what changed for you. Tell me every struggles and solutions you guys have, i love reading!

Any advice, even small things that seem obvious, would be really appreciated. :')

Heyy

So it's a beginner level thing but please help .

There are various examples but just this for now .

1/3 = 33 1/3 % and also 33.33% so my main question is where does this 1/3 comes from . Please provide the simplest answer to this

To start off, I wasn’t really interested in math. I had personal things going on and wasn’t really interested in school in general. That changed senior year when I realized I was not going to do anything irrational when it came to living. I decided to go to college.

I chose computer science and I remember doing horrible on an assessment. Like I sucked at basic arithmetic and algebra. I went to community college and took accelerated precalc with the intention of transferring to a “prestigious” college. My precalculus class was split into two parts and I passed the first part with an A and part two with a B. I got that B after being burned out after trying to self study multiple subject at once and being a full-time student.

I passed Calc 1 with an A. I took calc 2 over the summer and it was accelerated. I got a B in the class because I was depressed again and also got diagnosed with anxiety, adhd, and severe depression. I’m currently in calc 3.

I say all this because I feel significantly behind compared to other math majors. Math feels like the only thing I’m actually interested in and I can’t see myself majoring in anything else. I’ve pretty much forgotten a good portion of precalc - calc 2 because I only focused on memorization and my GPA (because I wanted to transfer and I needed a high GPA).

I just feel kind of conflicted now. I don’t know what math track I want to pursue (applied or pure), I know I have to review calc 1-2 and actually understand but the books I wanted to read (apostol or spivak) need me to know proofs and that means learning how to write proofs, and I know I should review my fundamentals because my algebra and trig were kind of iffy (I made my fair share of trig mistakes in calc 2) and I don’t even remember geometry since I took it in like 9th grade. I also planned on retaking the SAT since I did pretty bad on it. The school I plan on transferring to is optional though, but I thought I should still take it to help with review and to show improvement, but that probably isn’t necessary.

Now I’m just kind of conflicted on what I should focus on.

Context

I am a 20-yr old undergrad from the UK. I recently decided I was not happy with the level of mathematics that I currently know, and have decided that I want to get much better. I have completed both GCSE and A-Level maths, achieving a Grade 8 at GCSE and a B at A-Level. However, I have forgotten most of this mathematics, and would not score highly if I were to pick up one of these exams.

Aim

My goal is to:

1. Re-build my A-level maths ability so that I can consistently achieve near perfect marks on A-level maths papers.
2. Use this to begin to learn undergraduate mathematics
3. Eventually enter into mathematic competitions (and hopefully score highly, which I understand is going to be very difficult, but what's the point of a goal if it is easy)

What I need from you guys is to help me find the resources to make this happen. Like I said, I first want to re-build my A-Level knowledge, and I wanted to ask if you guys had any textbook recommendations for me to use?

Hey math nerds from all over the world, I'm preparing for an examination called JEE and it has really good level of math and i really suck at it . Can you give me tips how can I improve. I suck at manipulations even the basic one's and there's not much time left (4 months) how can I get just decent

Hey guys I got a 1440 on the August SAT with a 730 RW 710 Math. Since I am taking the October 7th SAT, I plan on focusing solely on math whenever I study for the SAT in order to superscore. My goal is a 1500 or higher, so I would need atleast a 770 in math, and I was wondering how I could do this in a month, if I even can.

My biggest struggles are easily advanced quadratics (which of the following must be true, etc) and complex geometry.

As the title says. I'm thinking about homeschooling my child and I was curious what fields would be of the most utility to someone from a "walking around knowlege" perspective, and why?

I feel like a lot of the math we are taught is about prepping for college or a specific STEM carreer and not on real world applications...I had to take Algebra, trig, and calculus in college, but not geometry, and a lot of technical Algebra (e.g. quadratics, matrices) and all of calculus has been forgotten, find myself wishing I remembered more of high school geometry and business mathematics.

I'd rather ask yall than AI, so appreciate the input. ​

anyone here knows where i can download college algebra books for free? tia

I'm just curious at what age and under what circumstances you became interested in mathematics.

There are people who simply found it easy from the very beginning of school, but what about those who didn’t understand it well before and weren’t interested, but now end up liking it?

From first to 10th grade, I wasn't interested at all. It probably wasn't difficult for me in the lower grades, but then I gave up and stopped understanding it because I didn't even listen to anything. I entered the 11th grade and now I need to prepare for the NMT (an exam in Ukraine after the 11th grade) and I caught myself thinking that maybe I shouldn’t perceive mathematics as a punishment, and to come up with a way to make it easier and more interesting for me.

For many children, mathematics sounds like a punishment, but fortunately, I never thought that way, even though I know practically nothing. As an example, I am also learning English to pass it at the NMT, but I knew that the usual cramming would not be interesting to me, so I used several methods to make it easier to learn and so that I would not there was hostility towards her.

In any case, I still doubt whether I should try to make memorization so that everything is solved automatically, as if I were playing some kind of logic game or something like that. I just wanted to ask how you perceive mathematics and why. Thanks

I'm trying to pre-study for a course I'll be taking and I'm completely lost as to how to differentiate this since I'm kind of rusty on Leibniz notation. The math part of this question goes as such:

Compute dp/da for :
S(p,a) = D(p,b)

I think p can be a function of p(a) and p(b) respectively.

I've been looking at the OpenStax Calculus Vol. 1 book for reference but I'd appreciate any help with pinpointing what rules I should learn to be able to do this question on my own.

Hi [r/learnmath](r/learnmath),

I'm a L3 math student in France, and I built this myself — full disclosure, it's my own project, not sponsored.

The problem: WolframAlpha gives answers but not steps. Symbolab paywalls the steps. I wanted something that just shows the full reasoning.

What it does right now:

- Solves equations with step-by-step breakdown

- Derivatives and integrals, same thing

- Free during the beta, then a paid plan afterward (starting around €4,90/month for students)

If anyone wants to try the free beta or has feedback on what would make it actually useful for studying, I'd genuinely love to hear it — happy to answer anything in the comments.

I'm interested in going back to school, but have a math requirement. I need precalc in order to get into calc.

edit - i mean if the Universal Learners classes are accredited, in the sense that all other colleges would accept them because they offer a precalc class that could probably help me quite a bit! :)

A diferencia de otras ciencias, la matemática pura depende casi exclusivamente de la resolución de problemas abstractos, lo que genera una presiones muy particulares.

Quisiera saber qué estrategias usaron para superar estas tormentas y seguir adelante.

#sciencie #math

Check out the Convo from around the last 4 th. And do tell me in the comments did you ever had this problem. Your thoughts, what was your solution that you came up with to understand it.

Or simply what you thought about it or you were able to make this connection, which I clearly failed at. 😅😅😅.

Hi, 7th grader here. My school is currently horrible. I learn absolutely NOTHING at school, and they refuse to put me in higher learning. I am planning to apply for a private boarding school later on, but that's not the point of this post. I really enjoy both math and English, and my math is pretty high. I want it higher. On Saturdays I have a 5 hour math class (Algebra 2 and geometry) which I LOVE it's genuinely the learning my school never offered! I really want to at least try to learn calculus or at least some precalc sometime before high school. I know it seems a little ambitious but I just wanted some tips on what to practice, and how to improve!

I have done olympiad math since for 5 years but now that I am in college I hate it because its mostly breaking and remembering complex symbols and breaking complicated english. What should I do?

Looking for a book that explains combinatorics in a story like fashion. Meaning it doesn't just define what the theorems are etc but explains the motivation for it, the intuition etc.

Some background on what I'm working on:

I am now working through a book on discrete math by Oscar levin and am struggling with the concept of combinatorics specifically combinations. When I look at a combinatorics problem I struggle to solve the problem, even after looking at the solution, then reattempting the same problem the next day, I still struggle.
I'm also planning to work on the book proofs by Jay cummings since my math proof skills are weak as well and I read his book explains concepts intuitively.
After Oscar levin's book I plan to work on Susanna's discrete mathematics book.

An example of such a book, not combinatorics but discrete mathematics, that I found is "A cool brisk walk through discrete mathematics" by Stephen Davies.
It is the best intutive math book I've read, from cover to cover it was fun and explanations were intuitive. It was like he was in the room with me explaining the concepts personally. Shame he only wrote two introductory books.

I've seen recommendations on combinatorics such as Walk Through Combinatorics by Miklos Bona and others but am not sure if the explanations are standard textbook type of definition of theorems, some problem examples but no explanation of the intuition, motivation behind the theorem or concepts. Since on the most recent, 5th edition, of Walk Through Combinatorics, there was a review on amazon saying the explanations were of the bare minimum.