Build and train a feed-forward neural network using PyTorch in this 37-minute tutorial. Develop a classifier to identify digits in the MNIST dataset while learning data management techniques with PyTorch datasets and data loaders. Follow a step-by-step implementation process, starting with PyTorch installation and dataset download. Progress through implementing a data loader, designing a feed-forward network, and creating a training loop. Conclude by training and storing the model, gaining practical experience in neural network development with PyTorch.