By Ivars Peterson
ISBN-10: 0471164496
ISBN-13: 9780471164494
"Peterson's wisdom of and affection for arithmetic comes via with each word."--San Diego Union Tribune."Peterson is, briefly, the maths instructor every body needs they'd in excessive school."--Publishers Weekly."Peterson has honed his explanatory abilities finely. he's a readable consultant in the course of the tangles of likelihood and random likelihood. The Jungles of Randomness will supply a few perception into essentially the most fruitful parts the place math meets functional living."--Christian technology Monitor.The pleasant trek in the course of the unique and robust international of randomness.Popular math writer Ivars Peterson leads readers on an exhilarating foray into the wilds of randomness, introducing intriguing new discoveries--from hidden ideas governing video games of probability to how the 1st molecules of existence shaped and the way random numbers can guard delicate details on the net. alongside the best way, he charts the ambiguous boundary among order and chaos, revealing the brilliant styles so usually hidden in obvious randomness in addition to the startling randomness frequently embedded in obvious order.Ivars Peterson (Washington, D.C.) is the math and physics editor at technological know-how information and the writer of 4 prior alternate books, together with The Mathematical vacationer and Islands of fact: A Mathematical secret Cruise.
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Additional info for The Jungles of Randomness: A Mathematical Safari
Example text
Erdos himself may have played a role in this relatively recent explosion of collaboration. When we see patterns—whether in the arrangement of stars in the sky or in the distribution of guests at a dinner party—we are constantly tempted to think of these patterns as existing for a purpose and being the effect of a cause. Ramsey's theorem suggests otherwise. Patterns can, and indeed must, arise just as well out of pure randomness and pure chance. In mathematics, in science, and in life, we constantly face the delicate, tricky task of separating design from happenstance.
As the most stable, earth consisted of cubes. As the most mobile, water was an icosahedron, the regular solid most likely to roll easily. Air had to be an octahedron, while the dodecahedron represented the entire universe. The last proposition of Euclid's Elements, a compendium of geometric knowledge, is an elegant proof that these five forms—often called the Platonic solids—are the only ones that can be constructed from a single type of regular polygon. What is it about an icosahedron that might make it the preferred shape of a virus?
Within half an hour, the two pendulums were back in opposite-phase motion. Huygens suspected that the clocks were somehow influencing each other, perhaps through air currents or vibrations of their common support. To test this notion, he moved the clocks to opposite sides of the room. They gradually fell out of step, with one clock losing five seconds a day in relation to the other. The two pendulums no longer swung at exactly the same frequency or in opposite phase. Conversely, the clocks kept precisely the same time when placed side by side.
The Jungles of Randomness: A Mathematical Safari by Ivars Peterson
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