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While reviewing our feature on the 17 equations that changed the world, we asked Mathematician Ian Stewart what equations missed the cut for his book, and what the future of mathematics might look like.

He mentioned Google's search algorithms and better equations describing the actual function of financial markets, but here's his bet for what's really going to change everything: 

Finance aside, I think the next really big NEW equation is going to emerge from mathematical biology. There are at least three areas ripe for an effective mathematical model: development (from egg to adult), ecosystems, and evolution. I think we will need a new concept of ‘equation’, though --- one that incorporates all of the genetic information in DNA, and other biochemical systems, and combines that with many other influences from the outside world. 

Prorfessor Stewart mentioned the Hodgkins-Huxley model as a starting point and example. When asked what he almost included, he wrote:


This is an area with a huge amount of potential that scientists and mathematicians have only just begun to explore in depth. We've made great strides in biology and mathematics, combining them could revolutionize both.

Don't miss: The 17 Equations That Changed The World  >