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The American mathematician invented entire new ways to understand shapes and spaces.

Dynamical systems can be chaotic and impossible to predict, but mathematicians have discovered tools to help understand them.

Syukuro Manabe and Klaus Hasselmann have been honored for their work that led to reliable predictions of the effects of climate change. They will share the Nobel with Giorgio Parisi, who has made pioneering studies of chaotic physical systems.

A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems.

Bryna Kra searches for the patterns in sequences of numbers that explain how complicated dynamical systems evolve over time.

Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.

Mathematicians and neuroscientists have created the first anatomically accurate model that explains how vision is possible.

Amie Wilkinson searches for exotic examples of the mathematical structures that describe change.

Two women programmers played a pivotal role in the birth of chaos theory. Their previously untold story illustrates the changing status of computation in science.

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