Introduction to Nonlinear Physics
Springer-Verlag New York Inc.
978-0-387-40614-5 (ISBN)
This textbook provides an introduction to the new science of nonlinear physics for advanced undergraduates, beginning graduate students, and researchers entering the field. The chapters, by pioneers and experts in the field, share a unified perspective. Nonlinear science developed out of the increasing ability to investigate and analyze systems for which effects are not simply linear functions of their causes; it is associated with such well-known code words as chaos, fractals, pattern formation, solitons, cellular automata, and complex systems. Nonlinear phenomena are important in many fields, including dynamical systems, fluid dynamics, materials science, statistical physics, and paritcel physics. The general principles developed in this text are applicable in a wide variety of fields in the natural and social sciences. The book will thus be of interest not only to physicists, but also to engineers, chemists, geologists, biologists, economists, and others interested in nonlinear phenomena. Examples and exercises complement the text, and extensive references provide a guide to research in the field.
Preface.- 1.1 A Quiet Revolution.- 1.2 Nonlinearity.- 1.3 Nonlinear Science.- 1.4 Remarks.- References.- Fractals and Multifractals.- Fractals and Diffusive Growth.- Multifractality.- Scaling Arguments and Diffusive Growth.- Chaos and Randomness.- to Dynamical Systems.- Probability, Random Processes, and the Statistical Description of Dynamics.- Modeling Chaotic Systems.- Pattern Formation and Disorderly Growth.- Phenomenology of Growth.- Models and Applications.- Solitons.- Models and Applications.- Nonintegrable Systems.- Special Topics.- Cellular Automata and Discrete Physics.- Visualization Techniques for Cellular Dynamata.- From Laminar Flow to Turbulence.- Active Walks: Pattern Formation, Self-Organization, and Complex Systems.- Appendix: Historical Remarks on Chaos.- Contributors.
| Zusatzinfo | XIV, 417 p. |
|---|---|
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik | |
| Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Naturwissenschaften ► Physik / Astronomie ► Thermodynamik | |
| ISBN-10 | 0-387-40614-X / 038740614X |
| ISBN-13 | 978-0-387-40614-5 / 9780387406145 |
| Zustand | Neuware |
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