What are Some Effective Online Resources for Learning Math?

[Greg Bernhardt]

Feel free to use this thread to post online learning resources for math. This may include PDFs, free online books, web apps, problem sets, calculators, tutorials, guides, lessons etc etc.

First stop should be our very own PF Insights blog which hosts many mathematics tutorials
https://www.physicsforums.com/insights

Please don't just post a link, include a description and why it is worthwhile for people to check out.

Thanks!

 

[axmls]

It's probably been mentioned before, but I couldn't imagine a list of mathematical learning materials without Georgia Tech's page on freely available math textbooks:
https://people.math.gatech.edu/~cain/textbooks/onlinebooks.html

 

[seouldavid]

This is a collection of open lectures in mathematics and its applications, covering various topics: algebra, calculus, discrete mathematics, history of mathematics, linear algebra, numerical analysis, probability and statistics. I think they are very helpful for those who want to learn mathematics for science and engineering.
http://www.infocobuild.com/education/audio-video-courses/mathematics/mathematics.html

 

[Ahmad Kishki]

1. Calculus of Complex Variables (MIT)

https://www.youtube.com/playlist?list=PLD971E94905A704482. Functional Analysis (NPTEL)

http://www.youtube.com/playlist?list=PL5022A32B9BCFE3E43. Mathematical Logic (NPTEL)

http://www.youtube.com/playlist?list=PL2EB5662A0D455A814.1 Real Analysis (NPTEL)

version1: http://www.youtube.com/playlist?list=PLbMVogVj5nJSxFihV-ec4A3z_FOGPRCo-

version2: http://www.youtube.com/playlist?list=PLbMVogVj5nJQ1UXrOm7KqTg9UKk6eXRp_4.2 Real Analysis (Harvey Mudd)

https://www.youtube.com/playlist?list=PL0E754696F72137EC5. Complex Analysis (NPTEL)

http://www.youtube.com/playlist?list=PLbMVogVj5nJS_i8vfVWJG16mPcoEKMuWT6. Linear Algebra (NPTEL)

http://www.youtube.com/playlist?list=PLbMVogVj5nJQ2vsW_hmyvVfO4GYWaaPp77. Numerical Methods (NPTEL)

http://www.youtube.com/playlist?list=PLbMVogVj5nJRILpJJO7KrZa8Ttj4_ZAgl8. Abstract Algebra (Harvard)

version 1: http://www.extension.harvard.edu/open-learning-initiative/abstract-algebra

version2:
http://www.extension.harvard.edu/openlearning/math222/

 

[Ahmad Kishki]

1. Calculus of Complex Variables (MIT)

https://www.youtube.com/playlist?list=PLD971E94905A704482. Functional Analysis (NPTEL)

http://www.youtube.com/playlist?list=PL5022A32B9BCFE3E43. Mathematical Logic (NPTEL)

http://www.youtube.com/playlist?list=PL2EB5662A0D455A814.1 Real Analysis (NPTEL)

version1: http://www.youtube.com/playlist?list=PLbMVogVj5nJSxFihV-ec4A3z_FOGPRCo-

version2: http://www.youtube.com/playlist?list=PLbMVogVj5nJQ1UXrOm7KqTg9UKk6eXRp_4.2 Real Analysis (Harvey Mudd)

https://www.youtube.com/playlist?list=PL0E754696F72137EC5. Complex Analysis (NPTEL)

http://www.youtube.com/playlist?list=PLbMVogVj5nJS_i8vfVWJG16mPcoEKMuWT6. Linear Algebra (NPTEL)

http://www.youtube.com/playlist?list=PLbMVogVj5nJQ2vsW_hmyvVfO4GYWaaPp77. Numerical Methods (NPTEL)

http://www.youtube.com/playlist?list=PLbMVogVj5nJRILpJJO7KrZa8Ttj4_ZAgl8. Abstract Algebra (Harvard)

version 1: http://www.extension.harvard.edu/open-learning-initiative/abstract-algebra

version2:
http://www.extension.harvard.edu/openlearning/math222/

I haven't checked most of these lectures, but i guess you can't go wrong with some of the best univesities in the world.

 

[Greg Bernhardt]

Please feel free to add your video links to
https://www.physicsforums.com/media/

 

[TheDemx27]

https://cloud.sagemath.com/

Insanely valuable. Tons of free tools.

 

[zaidalyafey]

A book on advanced integration techniques. It explains how to deal with lots of special functions like zeta, Gamma, eliptic integrals, error function and so on.

https://zaidalyafeai.files.wordpress.com/2015/09/advanced-integration-techniques.pdf

 

[Chadi B Ghaith]

http://www.onlinemathlearning.com/
You can learn online maths, even more video learning and online test also provided in this link.
If You want to solve direct calculations than you can go for:
http://www.ashbox.com

 

[Terrell]

A book on advanced integration techniques. It explains how to deal with lots of special functions like zeta, Gamma, eliptic integrals, error function and so on.

https://zaidalyafeai.files.wordpress.com/2015/09/advanced-integration-techniques.pdf

the file no longer exists. what book is it?

 

[zaidalyafey]

the file no longer exists. what book is it?

http://advancedintegrals.com/wp-content/uploads/2016/12/advanced-integration-techniques.pdf

 

[jedishrfu]

Another great resource is

Www.mathispower4u.com

It covers math from algebra to first year college of calculus 1,2,3 linear algebra and differential equations

 

[jedishrfu]

Hi, I am new on site. Looking forward for good suggestions.

Welcome to PF!

What about the suggestions in the thread already?

 

[Gear300]

I found this resourceful site. It can help serve as an undergraduate after-story for those studious grads.

http://alpha.math.uga.edu/~pete/expositions2012.html

 

[david2]

https://www.youtube.com/user/davidmetzler/playlists

a lot of videos about for example:

-Number Theory
-Precalculus
-Calculus
-Complex Numbers
-Trigonometry
-Multivariable Calculus
-Intro to Differential Forms
-Statistics
-Etc

 

[Ssnow]

This is very good:

https://www.edx.org/

I followed and passed ''Foundation of data analysis, statistics using R, part1'' online, there are also other math courses on geometry and analysis from the basic to the advanced level. You need to register in order to follow a course ...
Ssnow

 

[ElectricRay]

Another great resourse is KhanAcademy. Salman Khan is a great teacher. The site has lots of videos (over 40000) on different subjects about math and other interesting things. And there are a lot of exercises as well to practice your new knowledge.

https://www.khanacademy.org

 

[Curiosity 1]

As I'm learning mathematics on my own, I found these links to be useful as they tell you how to self-study advanced math:
https://www.quantstart.com/articles...hematics-Without-Heading-to-University-Part-1
https://www.quantstart.com/articles...hematics-Without-Heading-to-University-Part-2
https://www.quantstart.com/articles...hematics-Without-Heading-to-University-Part-3

 

[Greg Bernhardt]

David Spivak has a new version of the e-book out:

Seven Sketches in Compositionality: An Invitation to Applied Category Theory
http://math.mit.edu/~dspivak/teaching/sp18/7Sketches.pdf

 

[StoneTemplePython]

David Spivak has a new version of the e-book out:

Seven Sketches in Compositionality: An Invitation to Applied Category Theory
http://math.mit.edu/~dspivak/teaching/sp18/7Sketches.pdf

Interesting. It's 240 pages but aimed at a very wide audience.

The purpose of this book is to offer a self-contained tour of applied category theory. It is an invitation to discover advanced topics in category theory through concrete real-world examples...

The audience for this book is quite diverse: anyone who finds the above description intriguing. This could include a motivated high school student who hasn’t seen calculus yet but has loved reading a weird book on mathematical logic they found at the library. Or a machine learning researcher who wants to understand what vector spaces, design theory, and dynamical systems could possibly have in common. Or a pure mathematician who wants to imagine what sorts of applications their work might have. Or a recently-retired programmer who’s always had an eerie feeling that category theory is what they’ve been looking for to tie it all together, but who’s found the usual books on the subject impenetrable