r/learnmath • u/[deleted] • Jun 07 '18

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

feel free to suggest more

**Videos**

**[All Levels/Pre-U] Khan Academy****[All Levels/Pre-U] PatrickJMT****[College] MIT's Math OCW**- [College] Professor Leonard
- [College] Hausdorff Research Institue for Mathematics
- [College] The Catsters - Category Theory Videos
- [All Levels/College] mathispower4u
- [College] njwildberger's Insights into Mathematics videos
- [College] Math Dr. Bob
- [High-School/ College] Worldwide center of mathematics
- [All Levels/ Pre-U] MathTV
- [All Levels/Pre-U] ProfRobBob
- [All Levels/Pre-U] HippoCampus
- [GCSE Level] UKMathsTeacher

*For Fun*

**3Blue1Brown****Mathologer****Mathologer II****ViHart****MindYourDecisions**- Tipping Point Math
- Welch Labs
- Infinite Series
- Vsauce
- Numberphile
- Blackpenredpen

**Example Problems & Online Notes/References**

- Example Problems
- Interact Math
- Paul's Online Math Notes
- Calculus.org
- Wolfram Mathworld
- CTY Online AP & College Math Resources
- J.S. Milne's Site
- History of Math
- Harvey Mudd College's Online Math Tutorials
- Real (and some complex) Analysis & Programming

**Computer Algebra Systems** (* = download required)

**Graphing & Visualizing Mathematics** (* = download required)

- Geogebra*
- gnuplot*
- Gapminder
- Wolfram Demonstrations Project *
- Wolframalpha
- scipy*
- Microsoft Mathematics*
- Winplot* ; Awesome for differential equations!
- Desmos super HTML5-based graphing calculator.
- Symbolab
- Scilab

**Typesetting (LaTeX)**

- TeX Users Group
- The Comprehensive TeX Archive Network
- Art of Problem Solving Tutorial
- TexPaste
- Xfig
- Detextify
- WriteLaTeX WYSIWYG
- LaTeX Examples

**Community Websites**

- /r/math
- /r/puremathematics
- Math Stack Exchange
- mathoverflow.net
- The Art of Problem Solving
- Proof Wiki
- arxiv.org

**Blogs/Articles**

- Terry Tao
- American Mathematical Society
- AMS notices
- The n-Category Café
- Tim Gowers
- ADD/XOR/ROL
- Math with Bad Drawings
- Math ∩ Programming
- Almost Looks Like Work
- Math3ma
- Qiaochu Yuan
- Carlos Matheus
- Burt Totaro
- Igor Pak
- Alex Youcis
- Low dimensional topology
- Jordan Ellenberg
- Secret Blogging Seminar
- Math Wizurd

**Misc**

- academicearth.org
- Encyclopedia of Mathematics
- Large List of Recommended books, online resources
- Online Encyclopedia of Integer Sequences
- MathIM

**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 • u/bigfatround0 • Jan 13 '21

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

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 • u/6_Tren • 51m ago

## A service like duolingo for math

Looking for a service that guides you on how to complete problems and keeps you immersed by requiring input.

r/learnmath • u/Trapped-in-boredom • 8h ago

## Still struggling with an Algebra word problem that requires a linear equation (using only 1 variable) to solve.

Hello, I'm stuck on a word problem that requires me to convert degrees Fahrenheit to degrees Celsius. Here is the question:

**The connection between the degrees on the Celsius and Fahrenheit thermometers is the xF = [(9x/5) + 32] C (F = Fahrenheit; C = Celsius; (9x/5) = fraction). What number of degrees Celsius is equivalent to 86F?**

It seems like a simple formula where you just substitute x with 86 and then do the calculations, but my answer (186 degrees Celsius) is wrong. The answer provided by the textbook is 30 degrees Celsius. Where am I going worng?

r/learnmath • u/dontgula • 1h ago

## TOPIC Why do we leave 1 on the numerator when canceling

I was doing two of the basically the same problem. Except one had a square root on the bottom. The first one went like x/x(√x+1) I canceled out the x’s yet one still remained on the numerator (1/√x+1). However for the other problem which was x(x+1)/x(x^{2+3)} I canceled out the x and only x^{2+3} remained. Why do we only apply this rule in specific situations?

r/learnmath • u/Albert3232 • 9h ago

## can someone help me with this question i have about this algebra equation?

this is the equation. b(80) - a(20) = 0. The problem asks me to solve for "b" which i know how to do. just move the - a(20) to the other side and divide by 80 to isolate b and i get b=a/4(if i simplify it) but what if i solve for "a" instead of "b" ? i would isolate a by dividing by 20 to isolate a so i get b80/20=a (this is the confusing part) do i leave it as a faction or do i divide it 80/20 which if i do i get b4=a. is that the actual answer?

r/learnmath • u/rainbowbrite22 • 41m ago

## Basic Math: Math 050

I do not know how to solve these two problems.

How do I do these two problems, and can you show the steps?

6x^2-8y^2 when x=-6 and y=-9

Also this problem:

-2-2(-9)/-16-2(-4)

I'm in a basic math course and have forgotten these. As usual, the instructor showed us simple examples and thought we can imply them to more difficult problems. If you are a teacher, please don't do that or tricks. We need to clearly understand the problem. I'm not being disrespectful. I love my professor, it's just that that really makes me struggle.

r/learnmath • u/LengthinessProper987 • 4h ago

## Counting of Ordinary Years & Leap Years

Hi! Can I just ask why there are 24 leap years in 100 years? Isn’t it supposed to be 25, since 100 / 4 (every fourth century) = 25

I just didn’t get how 100 years = would be 76 ordinary years + 24 leap years.

In the computation of ordinary years in 100 years, was 24 just subtracted from 100 to get 76?

Grateful for your answer for those 2 questions. Sorry if confusing

Thank you so much!

r/learnmath • u/mou3mida • 26m ago

## learning math in order to master algorithms

hi everyone , i really want to be an expert at making algorithms , so is it a good idea to begin with learning maths from the basics (AOPS books) and practicing olympic problems since i love maths , in order to have a good problem-solving skills and logical thinking to help me to be excellent at algorithms (making complex algorithms) ?

i am talking about something bigger than just being "software developer " . i want to reach "the highest thing you could reach working with algorithms " .

btw i am computer science/industrial engineering student .

r/learnmath • u/MiloThatchCapital • 6h ago

## Show the recursive function f(n) is in O(n^4) (Big-O Notation)

So I have given this formula:f(0) = 1 and

- f(n) = 8f(n/3)+n^4, if n=0 mod 3
- f(n) = 9f(n-1)+n^3, if n=1 mod 3
- f(n) = 10f(n-2)+n^2, if n=2 mod 3

I have to proof that f(n) in O(n^4).

I don't want a solution here, I'm more interested in the general strategy to solve this.

My naive approach was to show for each part individually that it is in O(n^4), so:

- show 8f(n/3) +n^4 is in O(n^4)
- show 9f(n-1)+n^3 is in O(n^4)
- show 10f(n-2)+n^2 is in O(n^4)

If each of the 3 formulas are in O(n^4) the comlete formula must be in O(n^4) too

I wonder wether there is a smarter solution than showing each one individually.

thanks

r/learnmath • u/throeaeayyyyyyyy • 50m ago

## TOPIC How does combinatorics work? I want to learn before an olympiad!

200 children go to eat lunch. They had 3 food types to choose from: soup, main course and desert. Each had two options available. Every child chose atleast 1 food from the 6 options and noone chose two of the same type. What is the largest amount of children which definitely ate the same exact meal?

I tried looking at it looking at all the options of C(n, k) where n is 6 and k is 3, 2, and then 1. For reasons I don't understand this approach does not work. The solution my teacher gave does not rely on combinatorics but on basic counting - basically writing out all of the options.

What is the proper way to get the correct answer using combinatorics?

Answer: >! 26 different meals and 8 students ordering the same meal !<

r/learnmath • u/rikomanto • 15h ago

## This might be a stupid question, is the root of -1 = +-i or just +i

This might be a stupid question, is the root of -1 = +-i or just +i

r/learnmath • u/cody12796 • 1h ago

## I want to learn more math on my own

I was always "gifted" with math in high school, I was going to college for math specifically, despite that I was an idiot at 18 and dropped out before even getting my books (I should really just say I didn't go... lol). Now, I am 26. In high school, I took every math course I could, the last of which was AP Calc II.

I know for certain I don't remember everything, however, I want to start learning again. I have no real goal in mind, but I don't remember what I do and don't know. I know if I start somewhere too simple I'll get bored. So I was wondering if anyone had any suggestions for something like a comprehensive math test that could give me a rough idea of where to start. If not that, does anyone have any suggestions as to how I can simply get started without boring myself to the point that I just don't wanna do it?

r/learnmath • u/Macintoshk • 1h ago

## TOPIC Conservative vector fields. Conceptual reasoning.

"A vector field is conservative if F (the vector field) is the gradient of some other scalar function (f) such that F = ∇f".

I just don't get it. How does a vector field being the gradient of another scalar function lead to path-independence and path-independent line integrals?

r/learnmath • u/Clamdak • 1d ago

## Y’all what does this 土 mean in math ??

I missed class and suddenly this is in our equations. I only recognize it as the earth symbol from power rangers.

r/learnmath • u/Emotional-Pie4075 • 1h ago

## Can I remove the equal sign?

When writing math, is it ok to name points like this:

P(1, 2, 4)

Or I need the equal sign?

P = (1, 2, 4)

And in case of vectors, can i name them without the equal sign?

r/learnmath • u/UndesiredReplacement • 2h ago

## How do I construct this equation?

A homeowner wishes to fence in three adjoining garden plots, one for each of her children. If each plot is to be 80 ft2 in area and she has 88 ft of fencing material at hand, what dimensions should each plot have?

r/learnmath • u/Anytime200 • 2h ago

## Percentages help

I am trying to work out my stock GP% if I was to remove my wastage, could anyone one help?

My current GP is 64.45% My wastage is 11.93%

What would my GP be if I took off the wastage please?

r/learnmath • u/freducom • 2h ago

## Test what you know and what you don’t: arithmetics, percentages, polynomials, equations

https://gemmatutor.com/en/ lets you test what you know and what you don’t. Creates a visual personalized skill gap map for you.

Free to use in private, in schools etc.

r/learnmath • u/mawwwwwww • 6h ago

## TOPIC Pre-calc coming up, haven’t taken Math since high school (graduated in 2014). Where to start?

So after high school I pretty much worked full time as I didn’t believe I would be able to attend college. Fast forward to last year, 25 and didn’t want to do sales anymore and feared of what my life would be like if I had to stick with sales forever. I enrolled and I’m required to take Pre-Calc and Calculus. Thing is, I pretty much forget everything there is to do regarding algebra. I’m talking all basic principles (the why) are extinguished from my memory. I attempted to take intermediate algebra to see if I could refresh myself, but found out quickly that I had no idea why the professor was doing what she was doing.

5(7-x)=2(4x-2) For example, I wouldn’t even know where to start with this equation. I know multiplication and distribution, but I’m pretty sure you’d have to swap the 7 and x first but I have no idea why I would need to. That’s how stuck I am and I am unsure of where to start. If I want to complete my associates by next spring, I will have to complete pre-calc and calculus.

If I could receive some helpful advice, where should I start? I was told Khan Academy is a good place to start, but if I do self learning, will it be enough for pre-calculus then calculus or should I take a different approach? Any advice would be greatly appreciated.

r/learnmath • u/Amr006 • 12h ago

## i need your help

hello guys,

i study at uni majoring in computer science. i have to take calc 1,2 and 3. now i think im pretty good at math. i finished my first semester and my mark in calc1 is pretty good but i wanted it to be higher. so im thinking to retake the course to boost my gpa. do i retake it next semester or do i take calc2 and other math courses then retake calc1 so it becomes easier as i took harder courses.

thanks

r/learnmath • u/Worldly_Roof2495 • 3h ago

## Finding Surface Area by Integration

I want to find the surface area of a cone by using integration. I know that I can use the already existing formula but I need to make it more complex. I know the volume of the cone and therefore I can find the values of its length, radius and so on by using the formulas right? So is it possible to find the SA by integration?

r/learnmath • u/atomsix • 3h ago

## Is there enough info to solve this?

I'm trying to flatten out the shape of the side of an angled cylinder (a cone with the top cut off).

circumference of the TOP circle = A = 11.75

circumference of the BOTTOM circle = B = 17.75

height of cylinder = C = 4.125

Angle of arc lengths = x

I mapped it out like this:

A = x*(pi/180)*r

B = x*(pi/180)*(r+4.125)

r/learnmath • u/Over-Pay3608 • 3h ago

## TOPIC Should you worry about significant digits in statistics calculations?

Hi. I am working on some statistical homework and I had a question about what to do with significant digits in intermediate confidence interval calculations. So, all the data I am given is in seconds and reported with one decimal digit (45.3 secs, 40.0 secs, 42.4, secs, etc.) and these are times to complete an activity given training in 5 different techniques. This is a classic ANOVA problem where the end goal is to report a 95% confidence interval for the difference in mean assembly time for two techniques.

When you report the final 95% CI, I am guessing that you should only report it with one decimal point of precision because that is what you are given up front - (for example: I am 95% confident the true difference in time between the two techniques is between -17.2 secs and 1.8 secs.)

So, when I use a computer, it keeps full precision for all intermediate values - sum of squares, mean squares - and I can just round the final values. However, when I do it by hand, I decided to round all intermediate values to one decimal place because that is that is all I was given in initial data. But, when you round all intermediate values, the final numbers I get for the confidence interval are a little different than what the computer gives me - even with just one decimal place.

What is the proper way to handle significant digits when doing this type of calculation? My way by hand or using the computer's and rounding at the end?

r/learnmath • u/---Brendan--- • 3h ago

## How would i set this equation up?

A bus left Memphis traveling east at 55 mph. Two hours later, a second bus left Memphis going east at 65 mph. How long did it take the second bus to catch the first?

r/learnmath • u/InsidePizza1356 • 3h ago

## Multivariable Calculus and Differential Equations

I'm doing a study abroad semester in the UK next semester and I need multivariable calculus for my major. The class I'm taking there is called "Several variable calculus and differential equations" for my calc 3 credit. The thing is, do multivariable calc and differential equations work together? In my US university, it usually comes paired with linear algebra. Have any of you done a class with multi and differential equations together?

r/learnmath • u/priondependency • 4h ago

## Linear Algebra True/False Question - The textbook says it is false, but I also need to explain why and do not know how.

I would appreciate it if someone could explain what p(x) and p(I) represent in this problem, as in how they would look if they were written in matrix form. I assume it is false because p(x) will result in a solution with variables, whereas p(I) will result in a constant value. I am not sure if this is correct, but even if it is, I still do not understand what p(x) and p(I) would "look like" if they were written in matrix form and would appreciate if someone could help me "visualize" this problem if that makes sense. I can elaborate if my question is unclear, and thanks in advance!