Nonlinear Science
Seiten
1999
Oxford University Press (Verlag)
978-0-19-850107-7 (ISBN)
Oxford University Press (Verlag)
978-0-19-850107-7 (ISBN)
- Titel erscheint in neuer Auflage
- Artikel merken
Zu diesem Artikel existiert eine Nachauflage
The study of nonlinear systems has quietly revolutionized the realm of science. It has lead to the emergence of new structures that have their own features. The intricacy of this hierarchical perspective is much closer to reality, and its discovery is explored in this text.
The study of nonlinear systems has quietly revolutionized the realm of science. Models of physical phenomena had previously been assumed to be linear, or nearly so. This allowed the construction of equations which were relatively simple to solve. It has, however, become increasingly evident that this assumption of linearity leads the theorist to miss qualitatively significant phenomena. For nonlinear systems, it is now known, the whole is greater than the sum of its parts, leading to the emergence of new structures that have their own features, lifetimes and peculiar ways of interacting. Since these interactions are also nonlinear, new dynamics give rise to other emergent structures appearing at yet higher levels of description. Thus the molecules of chemistry emerge from nonlinear interactions between the elements of atomic physics, providing a structural basis for the proteins and ribonucleic acids of biochemistry, and so on, up through the many levels of activity in a living organism. The intricacy of this hierarchical perspective is much closer to reality, and its discovery is a watershed in the history of science.
This book is intended for graduate students and researchers in physics, applied mathematics, biomathematics, biophysics and engineering. Unknown function:
The study of nonlinear systems has quietly revolutionized the realm of science. Models of physical phenomena had previously been assumed to be linear, or nearly so. This allowed the construction of equations which were relatively simple to solve. It has, however, become increasingly evident that this assumption of linearity leads the theorist to miss qualitatively significant phenomena. For nonlinear systems, it is now known, the whole is greater than the sum of its parts, leading to the emergence of new structures that have their own features, lifetimes and peculiar ways of interacting. Since these interactions are also nonlinear, new dynamics give rise to other emergent structures appearing at yet higher levels of description. Thus the molecules of chemistry emerge from nonlinear interactions between the elements of atomic physics, providing a structural basis for the proteins and ribonucleic acids of biochemistry, and so on, up through the many levels of activity in a living organism. The intricacy of this hierarchical perspective is much closer to reality, and its discovery is a watershed in the history of science.
This book is intended for graduate students and researchers in physics, applied mathematics, biomathematics, biophysics and engineering. Unknown function:
The birth of a paradigm; linear wave theory; the classical soliton equations; nonlinear diffusion in excitable media; nonlinear lattices; inverse scattering methods; perturbation theory; quantum lattice solitons; looking ahead.
| Erscheint lt. Verlag | 1.4.1999 |
|---|---|
| Zusatzinfo | Illustrations |
| Verlagsort | Oxford |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Naturwissenschaften ► Physik / Astronomie ► Angewandte Physik | |
| ISBN-10 | 0-19-850107-2 / 0198501072 |
| ISBN-13 | 978-0-19-850107-7 / 9780198501077 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
CHF 83,90
Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
CHF 83,90
