Nexus: Small Worlds and the Groundbreaking Theory of Networks
- Book Review,
by Mark Buchanan
From Library Journal
Will a network science emerge that helps us understand a variety of complex organizational systems by describing the puzzles of human behavior and connections in mathematical terms? So argues Buchanan, former editor of Nature and New Scientist. Buchanan, who holds a Ph.D. in physics, delivers a good introduction to theoretical physics and the "small worlds" theory of networks. He sees biology, computer science, physics, and sociology as intimately connected. Buchanan illustrates social and physical networks with examples ranging from the infamous "six degrees of separation" theories, to the spread of the AIDS virus, to the mapping of the nervous system of the nematode worm. Are the similarities among these networks merely a coincidence or the result of some underlying physics? Only further research will tell, but in the meantime this book is a good primer to basic network concepts and contains references to key journal articles and studies for further reading. The subject will be of particular interest to mathematicians, physicists, and computer scientists and of general interest to those in most other disciplines. Recommended for academic and larger public libraries. Colleen Cuddy, Ehrman Medical Lib., NYU Sch. of MedicineCopyright 2002 Cahners Business Information, Inc.
From Booklist
Coincidence is the current focus of modish mathematical investigation. Kicked off, according to Buchanan, by a 1998 paper published in Nature, research on the nature of coincidence posits that deep-seated principles order huge, seemingly inchoate assemblies of objects. According to these conjectured principles, any member of a gigantic assembly of similar members (say of six billion human beings) can connect with any other member in astonishingly few steps. The idea seems ubiquitous, cropping up in food chains, the cell, neural networks, disease propagation, or electrical power grids--all arenas explored by Buchanan. This connection of objects in a set, dubbed "small worlds," comes in two "flavors": egalitarian networks and aristocratic networks, an example of the latter being the Internet. These are very interesting concepts, but before diving in, readers will want to know what they might get from Buchanan's presentation of various mathematicians' papers. Intimating that a small-worlds perspective might reveal the workings of economics as well as biology and ecology, Buchanan points up the relevance of his investigation. Gilbert Taylor
Copyright © American Library Association. All rights reserved
John L. Casti, author of Mathematical Mountaintops: The Five Most Famous Problems of All Time
Finally, a readable, simple explanation of one of the most surprising rules of complex networks.
Mark Granovetter, Joan Butler Ford Professor of Sociology, Stanford University
[G]raceful, lucid, nontechnical and entertaining prose....A remarkable achievement.
Richard Stone, author of Mammoth: The Resurrection of an Ice Age Giant
Buchanan peels away a veneer of complexity to reveal the simple scaffolding that holds our society together.
Richard Stone, Science
The consequences of this new world view are profound—and at times disturbing.
Kirkus Reviews
An intriguing, accessible look at the mathematics behind the 'six degrees of separation' theory.
Book Description
As Chaos explained the science of disorder, Nexus reveals the new science of connection and the odd logic of six degrees of separation. "If you ever wanted to know how many links connect you and the Pope, or why when the U.S. Federal Reserve Bank sneezes the global economy catches cold, read this book," writes John L. Casti (Santa Fe Institute). This "cogent and engaging" (Nature) work presents the fundamental principles of the emerging field of "small-worlds" theory—the idea that a hidden pattern is the key to how networks interact and exchange information, whether that network is the information highway or the firing of neurons in the brain. Mathematicians, physicists, computer scientists, and social scientists are working to decipher this complex organizational system, for it may yield a blueprint of dynamic interactions within our physical as well as social worlds. Highlighting groundbreaking research behind network theory, "Mark Buchanan's graceful, lucid, nontechnical and entertaining prose" (Mark Granovetter) documents the mounting support among various disciplines for the small-worlds idea and demonstrates its practical applications to diverse problems—from the volatile global economy or the Human Genome Project to the spread of infectious disease or ecological damage. Nexus is an exciting introduction to the hidden geometry that weaves our lives so inextricably together.
Book Info
Buchanan presents the fundamental principles of the emerging field of 'small worlds' theory--the idea that a hidden pattern is the key to how networks interact and exchange information, whether that network is the information highway or the firing of neurons in the brain.
About the Author
Mark Buchanan is a science writer and holds a doctorate in physics. He has been an editor at Nature and New Scientist. He lives in France.
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