When NASA first decided to put a man on the Moon they had a problem: once the Apollo spacecraft was in flight, they would not be able to observe its exact location and neither would they be able to predict it using physics. How could they send astronauts to the Moon if they didn't know where they were? An ingenious mathematician came up with an answer.
Recent discoveries have made it possible to control computer games by thought alone, or work out what kind of item someone is thinking about from their brain signals. And that's not all. Researchers were able to use brain scans to reconstruct what someone was looking at.
In these experiments the scientists were literally able to see what people were thinking. A worrying thought, perhaps. But how did they do it?
Dengue fever does the opposite of what you might expect. Unlike for many diseases, if you've had this tropical virus and recovered, you might be worse off, as a second exposure to the dengue virus can be life threatening. So keeping track of the strains of the diseases is an important problem which can be solved with the help of a little randomness.
Ian Stewart's latest book guides us through the recent collision of mathematics and biology. This is not a book about mathematics with a bit of biology sprinkled on afterwards – Mathematics of life weaves a history of biology with examples of how mathematics can help solve the unanswered questions that were created along the way. Mathematics, Stewart argues, will be the next biological revolution.