[OFF-TOPIC] Math resources

Question

There are posts with coding resources on solo but none with Math resources.
Math is not to be feared but loved for it is, if not a sibling, a cousin of coding.
Post your math resources here and spread the love for math. ☺

Answer 1

Resources:
Calculate pretty much any math problem:
1) http://www.wolframalpha.com
2) desmos.com
Graph & learn all mathematical functions:
https://www.geogebra.org
Geogebra app:
https://play.google.com/store/apps/details?id=org.geogebra.android
How to rotate any curve by any angle:
https://m.youtube.com/watch?v=BPgq2AudoEo
Complex numbers a brief history and intro:
https://m.youtube.com/playlist?list=PLiaHhY2iBX9g6KIvZ_703G3KJXapKkNaF
fractal dimensions - self similarity:
https://m.youtube.com/watch?v=gB9n2gHsHN4
Topology fun:
https://m.youtube.com/watch?v=8dHMpnfFdtc
Topology (very brief) intro:
https://m.youtube.com/watch?v=AmgkSdhK4K8
Non Euclidean geometries (brief intro):
https://m.youtube.com/watch?v=coPD3h8Iidc
Riemann zeta function:
https://m.youtube.com/watch?v=sD0NjbwqlYw
Convert complex numbers from rectangular to polar form & vice versa:
https://m.youtube.com/watch?v=inNKD7-3qFM
An interesting integration strategy (in place of integration by parts):
https://m.youtube.com/watch?v=CroUJo54L5A

Answer 2

A quick "re-cap" of the fundamentals: https://www.udacity.com/course/college-algebra--ma008

Answer 3

Math & computer science:
Coding Math channel:
https://youtu.be/zm9bqSSiIdo
Towers of hanoi/sierpinski triangle:
https://m.youtube.com/watch?v=2SUvWfNJSsM
Lambda calculus and automata(brief intro):
https://m.youtube.com/watch?v=eis11j_iGMs
More lambda calculus:
https://m.youtube.com/watch?v=OLH3L285EiY
Algorithm complexity(a friendly intro):
http://discrete.gr/complexity/
Great yt channel for both math & coding:
https://m.youtube.com/channel/UCd0dc7kQA1FUpJ76o1EjLqQ

A.I. :
Deep learning (part 1):
https://m.youtube.com/watch?v=aircAruvnKk
Deep learning (part 2):
https://m.youtube.com/watch?v=IHZwWFHWa-w
Deep learning (part 3):
https://m.youtube.com/watch?v=Ilg3gGewQ5U
More resources on deep learning:
http://colah.github.io
http://neuralnetworksanddeeplearning.com

Answer 4

John Conway(game of life creator and a great mathematician):
https://m.youtube.com/watch?list=PLt5AfwLFPxWIL8XA1npoNAHseS-j1y-7V&v=R9Plq-D1gEk

Answer 5

A very interesting theorem of geometry:
http://www.cut-the-knot.org/Generalization/ceva.shtml

Answer 6

Math isn't fun, right?
Well...wrong, and here's why:
Stereographic(and not only) projections:
https://m.youtube.com/watch?v=LOVzytir7bM

Non Euclidean geometries(virtual reality simulation):
https://m.youtube.com/watch?v=ztsi0CLxmjw

Rendering non Euclidean geometries:
https://youtu.be/kEB11PQ9Eo8

Math & Movies(Smoothening polygons/surfaces):
https://m.youtube.com/watch?v=mX0NB9IyYpU

Mathematical art by M.C. Escher:
https://youtu.be/t-Gcz9FIB4w
(vid ends @ 7:38)

calculus rhapsody:
https://youtu.be/uqwC41RDPyg

The geometry of sound(Chladni patterns):
https://youtu.be/CR_XL192wXw

Answer 7

All of my math challenges:
https://code.sololearn.com/WA47Ac30Ne3a/?ref=app

Answer 8

Free math books:
https://medium.com/free-stuff/free-math-books-a83aff081d89

http://www.freebookcentre.net/Mathematics/Multivariable-Calculus-Books.html

Open-books on basic maths (pre-algebra to calculus 3) and other related categories:

https://cnx.org

Some math books recommendations:
https://youtu.be/I_Df_mx8Hxo

Answer 9

3d rotations using quaternions:
https://eater.net/quaternions

Answer 10

Integration intro:

Basic integration:
https://youtu.be/e1nxhJQyLYI

Integration by parts:
https://youtu.be/KKg88oSUv0o

Integration with trigonometric substitution:
https://youtu.be/cyi-qyG1Yds

Integration using u-substitution:
https://youtu.be/8B31SAk1nD8

Intro to multivariate integration:
https://youtu.be/UubU3U2C8WM

Integration lecture by Oxford mathematics:
https://youtu.be/z_WsUNs6-iw

Answer 11

Share/get physics resources here:
https://www.sololearn.com/discuss/719697/?ref=app

Answer 12

Logical incompleteness:
https://m.youtube.com/watch?v=O4ndIDcDSGc
Godel incompleteness thoerems wiki:
https://en.m.wikipedia.org/wiki/Gödel%27s_incompleteness_theorems

Closely related subjects:
Tarski's undefinability theorem:
https://en.m.wikipedia.org/wiki/Tarski%27s_undefinability_theorem
Turing's halting problem:
https://en.m.wikipedia.org/wiki/Halting_problem
Turing's halting problem vid:
https://m.youtube.com/watch?v=wGLQiHXHWNk

Answer 13

Divergence & curl of vector fields:
https://youtu.be/rB83DpBJQsE
Potential flow theory intro:
https://youtu.be/x8_pfo1-MmI
A beautiful visualisation of flow dynamics:
https://youtu.be/_UoTTq651dE
More fluid dynamics fun:
https://youtu.be/EVbdbVhzcM4

Answer 14

Polar coordinates:
Polar coordinates intro(part 1):
https://youtu.be/jexMSlSDubM
Polar coordinates intro(part 2):
https://youtu.be/zGpbSGj_vfE
Polar coordinates intro(part 3):
https://youtu.be/9iqN12hCn10

How to graph polar equations:
Graphing polar equations(cardioids):
https://youtu.be/uHDhUPEyK7E
Graphing polar equations(roses):
https://youtu.be/VmQ1isayjJI
Graphing polar equations(lemniscates):
https://youtu.be/B8dR58EbAFA

lecture on parametric curves:
https://youtu.be/L7wiRSdWNZo

Answer 15

Why should we care about higher dimensions:
https://m.youtube.com/watch?v=IkF73zv8qas

Visualizing higher dimensions:
https://m.youtube.com/watch?v=zwAD6dRSVyI

Perfect shapes in higher dimensions:
https://m.youtube.com/watch?v=2s4TqVAbfz4

A very intuitive visualisation of 4d shapes:
https://youtu.be/0t4aKJuKP0Q

A more detailed visualization of 4d shapes:
Part 1:
https://youtu.be/4TI1onWI_IM
Part 2:
https://youtu.be/4URVJ3D8e8k

Hypercube explained:
https://youtu.be/iGO12Z5Lw8s
How to code a hypercube:
part 1(matrix math):
https://youtu.be/tzsgS19RRc8
part 2(projections & 3d rotations):
https://youtu.be/p4Iz0XJY-Qk
part 3(hyper cube):
https://youtu.be/XE3YDVdQSPo

Answer 16

Implicit differentiation(single variable):
https://youtu.be/fIy5Wav4rok

Asymptotes of a function:
vertical:
https://youtu.be/V137qmDN9Qw
horizontal:
https://youtu.be/qJrrZQgSkO8

Derivatives definition:
https://youtu.be/-ktrtzYVk_I

Answer 17

How to make the graph of a function:
Example 1:
https://youtu.be/CMOxgzbb09Q
Example 2 (concavity & inflection points):
https://youtu.be/3TJLOCYrTes
Example 3 (more concavity & inflection points):
https://youtu.be/sh4oG4vMbgA

How to graph f(x) = x^3 - x^2 - x + 1:
https://www.sololearn.com/post/61793/?ref=app

Answer 18

Linear algebra intro:
https://m.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab

Answer 19

Must watch for beginners as well as professionals.

It'll give you a good idea of domains in mathematics that branch out to fields of programming.

https://youtu.be/OmJ-4B-mS-Y

Answer 20

Numerical analysis:
Gaussian elimination visualised:
https://youtu.be/2tlwSqblrvU
Gaussian elimination with partial pivot example( part 1 ):
https://youtu.be/Yl_I4iYlyus
Gaussian elimination with partial pivot example( part 2 ):
https://youtu.be/6p-a7ZoGk18
Gaussian elimination with partial pivot example( part 3 ):
https://youtu.be/_q5HpaOhFes

Numerical integration:
Video examples:
Trapezoidal rule (part 1):
https://youtu.be/Bnh7ng09QZU
Trapezoidal rule (part 2):
https://youtu.be/BpFZ8mgjTns
Simpson's 1/3 rule (part 1):
https://youtu.be/e4ssZtKaufI
Simpson's 1/3 rule (part 2):
https://youtu.be/OuLfopUTsMY
Simpson's 3/8 rule:
https://youtu.be/sxHQvVdxT_0
Newton - Cotes formulas (part 1):
https://youtu.be/ZSbho8v0mGU
Newton - Cotes (part 2):
https://youtu.be/_40uoAEsvhI

Wiki:
Trapezoid rule:
https://en.m.wikipedia.org/wiki/Trapezoidal_rule
Simpson's 1/3 & 3/8 rules:
https://en.m.wikipedia.org/wiki/Simpson%27s_rule
Newton - Cotes formulas:
https://en.m.wikipedia.org/wiki/Newton–Cotes_formulas