I've greatly enjoyed writing about neural networks and seeing the great responses of you people on steemit! For now, I'm in Miami, Florida with my brother @mckeown12 and his wife, so I haven't had much time to write. That being said, I couldn't leave my interested readers without resources to much better content than I've ever made...

Simple Neural Network in 11 lines of Python:

http://iamtrask.github.io/2015/07/12/basic-python-network/
This shows a very simple neural network written in 11 lines of python! (it uses numpy too).
It is really great, but for simplicity it doesn't use biases and is very basic...(Not including bias terms means that the net activation of a neuron will never be more than 0.5 [using a sigmoid neuron] in the case that all inputs to that neuron are 0...It's not a huge barrier to learning, but it's also just not the norm.)

He goes through each line of the code and explains it.
It's really hard to get your head around how lines 8 and 9 work...but he explains a bit later on.

A Whole Book/Course on Neural Networks/Deep Learning:

http://neuralnetworksanddeeplearning.com/
This resource is a bit long for the casual reader, but it is well worth it...He derives the weight updates and accompanies everything with an explanation and explanatory code!

Siraj Raval's Youtube Channel

https://www.youtube.com/channel/UCWN3xxRkmTPmbKwht9FuE5A/playlists
He delivers high quality Neural Network resources/walkthroughs like a G.

MarI/O (SethBling makes a neural network evolve to play Mario!)

enough said...

Machine Learning Subreddit

https://www.reddit.com/r/MachineLearning/

(A great place to learn about machine learning...if you feel you have simple questions which shouldn't muddle the discussion there, it's preferred you ask them here: https://www.reddit.com/r/learnmachinelearning/)