A New Mathematics and Its Applications

What do sexually transmitted diseases, the World Wide Web, the electric power grid, Al Queda terrorists, and a cocktail party have in common? They are all networks. They conform to surprising mathematical laws which are only now becoming clear. Albert-Laszlo Barabasi has helped discover some of those laws over just the past five years, and though they are some pretty abstruse mathematics, he has written a clear and interesting guide to them, _Linked: The New Science of Networks_ (Perseus Publishing). Not only has he attempted in this book to bring the math to non-mathematicians, he has shown why the work is important in down-to-earth applications.It is important for those multitudes who have no taste for math to know that this is not a book full of equations; Barabasi knows that for most of his readers, doing the math is not as important as getting a feel for what the math does. He explains the basic history of network theory, and then shows how his own work has turned it into a closer model of reality, a model that most of us will recognize. Networks are all around us, and they are simply not random. Some of our friends, for instance, are loners, while others seem to know everyone in town. Some websites, like Google and Amazon, we just cannot avoid clicking on or being referred to, but many others are obscure and you could only find them if someone sent you their addresses. Barabasi calls these "nodes" with such an extraordinary number of links "hubs," and he and his students have found laws of networks with hubs, showing such things as how they can continue to function if random nodes are eliminated but they fragment if the hubs are hit. Barabasi is currently doing research to show what intracellular proteins interact with other proteins, and true to form, some of them are hubs of reactions with lots of others. Finding the hubs of cancerous cells, for instance, and developing ways of taking them out, show enormous promise in the fight against cancer. And finding the hub terrorists in Al Queda in order to take them out would be the best way to eliminate the network. Barabasi obviously enjoys drawing examples from all over, and because of his ability to link them, his book is a pleasure to read. He also shows how this type of mathematics is being done, mail. He shows how "eureka" insights by his students have propelled the new science, and he is full of good stories from a teacher. In fact, he is a good teacher, and those who follow along here will have reason to be glad to join, if only in the role of isolated nodes, into this network of mathematical thought.

Cotton Candy--Lots of Air, Some Sugar, No Bibliography