## Exploring the Hidden with Maths--An Intro to Inverse Problems

Why do we know how the earth looks inside? How are we able to image

the insides of our body without surgery? How do we find oil under the

oceans? We know these things from the combination of mathematical

models with indirect observations. For instance, from combining a

model how earthquake waves travel through the earth with seismograms,

we are able to learn about the inside of our planet. Or, from a model

how hydrogen atoms react to a magnetic field, we can generate detailed

images of the human brain. These are examples of inverse problems. I