The Nonlinear Universe

Written in Alwyn Scott's inimitable style - lucid and accessible - The Nonlinear Universe surveys and explores the explosion of activity in nonlinear science that began in the 1970s and 1980s and continues today. The book explains the wide-ranging implications of nonlinear phenomena for future developments in many areas of modern science, including mathematics, physics, engineering, chemistry, biology, and neuroscience. Arguably as important as quantum theory, modern nonlinear science - and an appreciation of its implications - is essential for understanding scientific developments of the twenty-first century.

Auteur

One of the pioneers in the area, Alwyn Scott entered nonlinear science as a teacher and researcher after completing his doctoral work at MIT in the late 1950s. His research, both experimental and theoretical, has addressed a wide range of topics from nonlinear laser optics to neuroscience. In 1981, Scott was selected as the founding director of the Center for Nonlinear Studies at the Los Alamos National Laboratory. He was also a founding editor of Physica D: Nonlinear Phenomena, the first journal devoted exclusively to the area. His other books include Neuroscience: A Mathematical Primer (Springer, New York) and Nonlinear Science: Emergence and Dynamics of Coherent Structures (Oxford University Press) and he served as editor of the recently published Encyclopedia of Nonlinear Science (Routledge). He completed 'The Nonlinear Universe' shortly before his untimely death in January 2007.

Texte du rabat

Written in Alwyn Scott's inimitable style lucid and accessible The Nonlinear Universe surveys and explores the explosion of activity in nonlinear science that began in the 1970s and 1980s and continues today. The book explains the wide-ranging implications of nonlinear phenomena for future developments in many areas of modern science, including mathematics, physics, engineering, chemistry, biology, and neuroscience. Arguably as important as quantum theory, modern nonlinear science and an appreciation of its implications is essential for understanding scientific developments of the twenty-first century.

Résumé
It has been suggested that the big questions of science are answered that science has entered a twilight age where all the important knowledge is known and only the details need mopping up. And yet, the unprecedented progress in science and technology in the twentieth century has raised qu- tions that weren't conceived of a century ago. This book argues that, far from being nearlycomplete, the storyof sciencehas many morechapters,yet unwritten. With the perspective of the century's advance, it's as if we have climbed a mountain and can see just how much broader the story is. Instead of asking how an apple falls from a tree, as Isaac Newton did in the17thcentury,wecannowask:Whatisthefundamentalnatureofanapple (matter)? How does an apple (biological organism) form and grow? Whence came the breeze that blew it loose (meteorology)? What in a physical sense (synaptic ?rings) was the idea that Newton had, and how did it form? A new approach to science that can answer such questions has sprung up in the past 30 years. This approach known as nonlinear scienceismore than a new ?eld. Put simply, it is the recognition that throughout nature, the whole is greater than the sum of the parts. Unexpected things happen.

Contenu
Chaos.- Solitons.- Nerve Pulses and Reaction-Diffusion Systems.- The Unity of Nonlinear Science.- Physical Applications of Nonlinear Theory.- Nonlinear Biology.- Reductionism and Life.- Epilogue.