To learn more, I highly recommend the book by Michael Nielsen
http://neuralnetworksanddeeplearning….
The book walks through the code behind the example in these videos, which you can find here:
https://github.com/mnielsen/neural-ne…

MNIST database:
http://yann.lecun.com/exdb/mnist/

Also check out Chris Olah’s blog:
http://colah.github.io/
His post on Neural networks and topology is particular beautiful, but honestly all of the stuff there is great.

And if you like that, you’ll love the publications at distill:
https://distill.pub/