Fourier transform is the bedrock of modern mathematics and physical science. Used in deep mathematical proofs in number theory as well as most engineering systems, it provides the very foundations of modern technology. This graph tells the story of how the transform is related to other mathematical transforms, which are related to other areas of mathematics and physics. In this knowledge map , we see characters like Z-transform and Laplace transform which are close cousins of the Fourier. We also see the Fourier series and other important modern transforms like ‘wavelet transform’. 

Explore the graph by clicking on any of the nodes and traversing to other nodes by clicking them. Also remove extraneous connections by clicking on different color nodes in the legend. Going from left to right will eliminate nodes that are least extensively connected to most extensively connected.