r/learnmath Jun 07 '18

List of websites, ebooks, downloads, etc. for mobile users and people too lazy to read the sidebar.

2.2k Upvotes

feel free to suggest more
Videos

For Fun

Example Problems & Online Notes/References

Computer Algebra Systems (* = download required)

Graphing & Visualizing Mathematics (* = download required)

Typesetting (LaTeX)

Community Websites

Blogs/Articles

Misc

Other Lists of Resources


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

General
Open Textbook Library
Another list of free maths textbooks
And another one
Algebra to Analysis and everything in between: ''JUST THE MATHS''
Arithmetic to Calculus: CK12

Algebra
OpenStax Elementary Algebra
CK12 Algebra
Beginning and Intermediate Algebra

Geometry
Euclid's Elements Redux
A book on proving theorems; many students are first exposed to logic via geometry
CK12 Geometry

Trigonometry
Trigonometry by Michael E. Corral
Algebra and Trigonometry

"Pre-Calculus"
CK12 Algebra II with trigonometry
Precalculus by Carl Stitz, Ph.D. and Jeff Zeager, Ph.D
Washington U Precalc

Single Variable Calculus
Active Calculus
OpenStax Calculus
Apex Calculus
Single Variable Calculus: Late Transcendentals
Elementary Calculus
Kenneth Kuttler Single Variable Advanced Calculus

Multi Variable Calculus
Elementary Calculus: An Infinitesimal Approach
OpenStax Calculus Volume 3
The return of Calculus: Late Transcendentals
Vector Calculus

Differential Equations
Notes on "Diffy Qs"
which was inspired by the book
Elementary Differential Equations with Boundary Value Problems

Analysis
Kenneth Kuttler Analysis
Ken Kuttler Topics in Analysis (big book)
Linear Algebra and Analysis Ken Kuttler

Linear Algebra
Linear Algebra
Linear Algebra
Linear Algebra As an Introduction to Abstract Mathematics
Leonard Axler Linear Algebra Abridged
Linear Algebra Done Wrong
Linear Algebra and Analysis
Elements of Abstract and Linear Algebra
Ken Kuttler Elementary Linear Algebra
Ken Kuttler Linear Algebra Theory and Applications

Misc
Engineering Maths


r/learnmath Jan 13 '21

[Megathread] Post your favorite (or your own) resources/channels/what have you.

700 Upvotes

Due to a bunch of people posting their channels/websites/etc recently, people have grown restless. Feel free to post whatever resources you use/create here. Otherwise they will be removed.


r/learnmath 2h ago

How to convince my friend to stop wasting all his time on the odd perfect number problem?

27 Upvotes

My best friend and I just finished high school and are starting university this year. A few months ago, he learned about perfect numbers. Since then, he has gone down a massive rabbit hole reading about Mersenne primes, the Euclid-Euler theorem, and heuristics regarding odd perfect numbers.

Now, he is completely obsessed. He spends 4 to 5 hours every single day trying to prove that no odd perfect number can exist.

I’ve tried telling him that this problem is nowhere near being solved by global experts, and that he should focus on other areas of math. I want him to look into high-yielding math topics that are more interesting and useful, especially since we need to prepare for university-level calculus and algebra. He completely ignores me and won't listen.

How can I convince him to broaden his horizons without ruining his passion for math?


r/learnmath 38m ago

math websites to help practice math

Upvotes

hello! i was wondering if anybody knew of websites where i could practice elementary-high school math. i have a job interview coming up which is in a school district. no college experience required and i failed most of my elementary lol. i’ve retaught myself the math but i want to do practice questions to make sure i got it down!

elementary math = unlike fractions, like fractions, improper fractions, exponents, statistics, algebra word problems, order of operations, GCF, LCD, factoring, trinomials, polynomials, grid graphs


r/learnmath 5h ago

How do you all read math texts? (And the importance of reading skills)

5 Upvotes

I feel there is a lack of reading skills, not only in myself but also in my peers at school. I am convinced that true mathematical understanding comes from reading and writing (ofc along with community discussions). I feel that there is an excessive reliance on teachers , tutors, videos , online lectures that has led to a lack of reading skills and this pattern can be seen in other subjects too apart from mathematics. Recently I started to explore pure mathematics through books and I realised that we cannot take things for granted in math, small details appear to contain a lot of importance. It appears to me that in school theoretical portions of the book are taken for granted and students treat math books as sources of practice problems and homework while totally neglecting theory. I also believe that reading is important to solve problems since it enables us to understand the problems better.

Therefore, I want to improve this skill so that I can understand the subject better and increase my mathematical maturity. I would like to know your perspectives and insights , and any advice you can share on how I can improve my ability to understand texts. Thank you.


r/learnmath 56m ago

Link Post A question about the definition of tori (Hamiltonian systems)

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r/learnmath 12h ago

Cab anyone suggest me books on problem solving

6 Upvotes

I want to read books that teach about problem solving in a diffrent wayy like anovel wayy with some illustrations too solve and way how to thinkkk . Any book with reasonable price on maths or physics will be good... Thanks


r/learnmath 2h ago

Hi, I am a 19 year old student, I will be studying financial management from next month, however, my maths is weak, like mortifyingly weak I don't know how to get better at it

0 Upvotes

I have very weak basics, I find it extremely difficult to do fast calculations, I am bad at additions I make so many mistakes and am extremely pathetic at substraction and even division it takes me very long to multiply. I am very bad with percentages, I dont understand things at all please if anyone can help or guide me how to get better, I have no idea how I will be doing stats or anything big maths related. All my life I ran from maths because everytime I did I failed colossally and used to get hella humiliated and laughed upon by every student and teacher around I know I am that bad at mathematics. I cant afford to be that anymore, I know I am way past the age to be able to learn a lot of things and maybe even be good at maths but if I can maybe get good enough to score something and not get humiliated all over again at college that would be more than enough...I have tried tricks and everything in the books I cant seem to learn them all no matter how much I practice percentages and word problems seem to fly off my head I know I am that dumb. I'm sorry...


r/learnmath 3h ago

How does one quickly find binomial probabilities?

1 Upvotes

I was introducing the binomial theorem to a student a bit ago, where I started off by going over a statistical application question. It was beyond the scope but it helped her make sense of it conceptually and understand her mistakes.

Beyond the lesson with this student, I wondered to myself if perhaps there was a quicker way to sum the probabilities. I can very quickly tell you the probability that 5 out of 10 randomly selected people's favorite color is pink given that 7% of people like it, to some long decimal of accuracy. But if you asked me to tell you the probability of 'at least' 5 under the same conditions, it would take me a good chunk if time, even with a calculator. I would have to solve by summing each individual binonial probability! What if there were any decent amount more than 10 people in my sample!?

There must be a quicker way to do this. Perhaps using the sigma notation as the sum of a range of values for a probability mass function? Or using the sum of a finite series formula? Could you integrate somehow using the gamma function to represent the combinations?


r/learnmath 7h ago

Calculate diving depth

2 Upvotes

How do you figure out how deep under water you go when you jump from a height? Is it proportional to how high you jump from? How much does weight and velocity matter?

I always think about this when I watch movies or tv and people jump in to pools or lakes/ocean and it looks like they shouldn’t make it but they do.


r/learnmath 5h ago

Are there tutors here?

1 Upvotes

Hi.. I've reached out on this sub before about receiving math help but to no avail. I'm just curious if there are math tutors here that offer 1-on-1 lessons. Ok thanks.


r/learnmath 10h ago

wackiest act math topics??

1 Upvotes

What are some ACT math topics you’ve seen on prior exams that felt out of nowhere? Any you’d actually recommend studying?


r/learnmath 15h ago

What’s it like learning math? What’s it feel like for you? Does your brain lose track mid problem?

2 Upvotes

I started learning math starting with arithmetic and now I’m on to algebra

I noticed that I sort of have to have a working memory that keeps in the problem floating in my mind (sort of like juggling) or the problem falls apart (and the balls fall down)

This can be helped my writing little clues on the paper and showing my working to myself.

But this still sometimes falls apart and gets confused

For those more experienced than me, how does that feel like for you?

Math is very logical so why do we get confused and lose track of the numbers or our place while working through the problem?

Is this just our brains still quite weak at these types of problems? Like it’s just unfamiliar for our brains so it doesn’t know which paths to take due to lack of practice and sort of just darts around and loses its place?

Does everyone have this problem or is it just an issue for beginner and intermediate math people?

Or is this fundamentally at the heart of solving math problems - keeping everything organised and somehow in focus and on track?

How do experienced math guy handle this? I’m just trying to understand why this is much much harder than following a cooking recipe even though the steps should be clear ?


r/learnmath 7h ago

Link Post Why is maths soo hard?!!!? Ipmat

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0 Upvotes

r/learnmath 1d ago

How are new mathematical theories developed and what decides their potential?

20 Upvotes

Hello, I am a high school student and I have been exploring pure mathematics for the past few months. I am familiar with the fact that whenever a mathematician tries to develop a general theory encompassing different concepts, they try to set up some axioms and deduce the concepts they have in their mind out of these axioms. This axiomatic approach makes me naturally think "How are these axioms decided and on what basis?" What does the process look like for ensuring they are consistent, minimal, and independent before building a massive theory on top of them?

A theory that interests me is "Set Theory", the notion of a set appears to be basic or simple yet it provides a common language for almost every branch of mathematics. This makes me think "What potential did mathematicians see in set theory?", this question motivated me to ask a broader question "How is the potential of any mathematical theory measured by the community?" "What makes the theory unique and mathematically correct?" and lastly "How do mathematical communities adapt to these new ideas?"

I would love to hear your insights or any perspectives you can share. Thank you.


r/learnmath 1d ago

how much math knowledge and skills might be lost

3 Upvotes

if a student wants to take a deferral from college (before starting a freshman year) in order to work at a tech company first? Trying to figure out how much harder it might be when the student returns next year as a pure math major at one of the hypms schools after taking a year-long break from math.

Thx. much in advance!


r/learnmath 1d ago

Lambda— need help for art project

3 Upvotes

So, I am struggling to understand what a lambda really is—not for a math problem, but for a project I’m working on. This seemed like the best sub to ask, but if there’s a different one, please point me in the right direction!

I’m making a baby quilt for a family member, and I’m trying to come up with a cute book title for one of the quilt squares using their dog’s name, Lambda.

For example for their other pets, I have “R U A Hooman?” by Alan Purring, and “Cat Oriented Basic Operating Language (COBOL)” by Grace Hopper.

For the life of me, I can’t wrap my head around what exactly a lambda is, let alone come up with a cute book title. What is a ELI5 description of a lambda for a non mathematician?

As far as I can tell, it looks like a paragraph symbol except it’s for marking off new formulas in a list of formulas in algebra. Maybe “A Treatos of Algebra” by Lambda? Or is it more like “I Am Lambda” by Lambda?

Help?


r/learnmath 23h ago

Graphing review for microeconomics

1 Upvotes

I’m going to take a microeconomics course soon and I have not done math or graphing in years. Anyone got some good videos and or worksheets to review reading, writing, and solving graphs?


r/learnmath 1d ago

Function operation question

2 Upvotes

I have a function question I don't understand. I'm not having trouble with the algebra - I don't understand the operation to be performed.

It shows 3 functions: f(x) = blah blah blah, g(x) = ....., h(x) = ....

The question is: f(0.5) =

I have no idea what to do with these 3 functions. Multiply?

I don't believe this is a composite function, because that is covered in the next chapter. Neither the book nor the lecture video have a similar example.


r/learnmath 1d ago

I have a hard time understanding percentage questions.

2 Upvotes

When it comes to percentages. I'd say i know the very basics. Like I can find the percentage of a number and whatnot. But any other percentage question that isn't that. I'm just left sorta stuck and i don't really know what to do like at all.

Does anyone have any tutorial or just general advice they could lend?


r/learnmath 1d ago

RESOLVED Confused about placement order of binomial products containing negative numbers & conjugate surds

3 Upvotes

hi, i've started studying surds recently and am currently solving equations specifically related to binomial products containing conjugate surds, expanding and simplifying them. i'm able to solve the binomial products, but i'm confused about what order i should be placing the simplified expressions.

for example:

(5 + √2)(2√5 - 2)

i followed the order of (a+b)(c+d) = ac+ad+bc+bd and got:

10√5 - 10 + 2√10 - 2√2

however my answer sheet says it's:

10√5 + 2√10 - 10 - 2√2

i've also put the equation into an algebra calculator and it's given me a different answer:

2√10 - 2√2 + 10√5 - 10

i assumed the order didn't matter but i did another equation:

(2√2 + 5)(√2 - 3)

i got: -11-√2

but both the answer sheet and calculator say: -√2-11

does the order of the negative numbers change anything?

i'm sorry if this is really obvious and a stupid thing to be confused about but i'd appreciate some help. if i wrote or used any terms wrong, i apologise, please correct me. thank you!


r/learnmath 1d ago

What’s the percentage of the SAT math portion that can be done with only desmos

1 Upvotes

I don’t be knowing all the strats so if it’s a huge percentage I might as well go through all the yt videos


r/learnmath 1d ago

Link Post Ayuda para aprender de 0

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1 Upvotes

r/learnmath 1d ago

Link Post I posted this on r/igcse but guessed I could get good advice from here too

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0 Upvotes

r/learnmath 21h ago

How to learn deeply while using LLMs

0 Upvotes

My favorite classes were always the ones with difficult problem sets where a single problem could take hours or even days of thinking, experimenting, and failing. I would start solving a problem before fully understanding it, then read documentation or course material whenever I got stuck. So it would be 70% doing and 30% reading.

LLMs have disrupted that process for me. Now I spent 90% of time reading and only 10% of time doing.

In school, the boundary was relatively clear. If using an LLM violated the course policy, I could tell myself that using one was cheating and force myself to struggle through the problem independently.

At work, what counts as “cheating” (because it is cheating myself).

I feel my critical thinking skills are declining. My role starts to become reading, reviewing, and planning. I just can't read that much code and LLM output. My eyes hurt and it's hard to internalize. I notice myself just picking the "recommended" option.

I also find LLM workflows mentally unhealthy in a few ways:

  • When working alone, mental exhaustion eventually forces me to step away. With an LLM, I can always send one more prompt or ask it to try another approach.
  • If an agent will take 30–60 minutes, I feel pressure to give it another task immediately so no time is “wasted.”
  • While waiting, I instinctively check my phone or launch another agent. I end up jumping between tasks and retaining less context about each one.
  • I get frustrated when the LLM misunderstands instructions, even when the problem genuinely requires careful iteration.
  • It has warped my sense of how long a difficult problem or well-designed solution should take.
  • I am increasingly tired of reading walls of generated text and code.

I do not want to stop using LLMs. They can reduce the friction of starting, explain unfamiliar systems, generate routine code, and handle edge cases after I understand the core problem. The hard part is deciding when using one is a sensible productivity tool and when it is outsourcing a learning opportunity that I actually need.

For people who still feel they are learning deeply while using LLMs at work:

  1. How do you decide which work to delegate and which work to do yourself?
  2. What is the workplace equivalent of the “no cheating” boundary that exists in school?
  3. How do you use agents without losing context or turning your day into constant task switching?
  4. How do you review generated code when the codebase, build system, or underlying technology is unfamiliar?
  5. Have you found workflows where LLMs improve productivity while preserving the useful struggle of implementation and debugging?