Segments in this Video

Unpredictable Future (02:15)


Baseball coaches Pop and Red discuss Newton's first law of motion. Rockmore describes Newton's 17th century discovery.

Predicting the Future (01:53)

Rockmore describes philosophies that spun out of Newton's laws. Take a look at a simple example of a differential equation.

Telescope Discoveries (01:59)

In 1846, Neptune is discovered as a result of mathematical prediction. In 1888, Oscar II offers a prize to anyone who can offer a three-body-solution similar to Newton's two-body solution.

Finding Chaos (02:51)

Rockmore describes how Jules Henri Poincare visually approached his understanding of chaos. His findings would put a crack in Newton's picture of the universe.

Butterfly Effect (02:32)

Look at the work of Dr. Edward Lorenz, who studied the way air moves in Earth's atmosphere. His findings show that in certain equations, results can be largely impacted by infinitesimal changes in data.

Chaos at Work on the Field (06:40)

Check in on Pop and Red as they discuss chaos in a curve ball. Rockmore interviews Steve Strogatz to understand mathematics in baseball and medicine.

Chaos to Save Lives (02:12)

Scientists have begun to research heart disease in relation to chaos. Every year in the U.S. there are more than 300,000 deaths related to cardiac arrest.

Dynamic Connection (04:01)

Martin Lo describes the interplanetary superhighway. He notes that chaos can be defined by the sensitive dependence. Take a look at a life-size model of the Galileo spacecraft.

Just the Beginning (01:40)

Check in one last time on Red and Pop as they debate chaos theory and Newton. Rockman sums up the episode.

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The Concepts of Chaos: Mathematics Illuminated

Part of the Series : Mathematics Illuminated
3-Year Streaming Price: $149.95



Two sticks start side by side on the surface of a brook, only to follow divergent paths downstream. The phenomenon of chaos is characterized by a widely sensitive dependence of the future on slight changes in a system's initial conditions. The mathematics of chaos involves finding structure in what initially appears to be randomness that imposes limits on predictability.

Length: 27 minutes

Item#: BVL110274

Copyright date: ©2008

Closed Captioned

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