Introduction to Nonlinear Physics

With 264 Figures

Lui Lam

417 pages, parution le 31/12/2003

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Résumé

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.

Written for:
Undergraduate students

L'auteur - Lui Lam

Editor

Sommaire

Preface
Introduction
Part I: Fractals and Multifractals
- Fractals and Diffusive Growth
- Multifractality
- Scaling Arguments and Diffusive Growth
Part II: Chaos and Randomness
- Introduction to Dynamical Systems
- Probability, Random Processes and the Statistical Description of Dynamics
- Modeling Chaotic Systems
Part III: Pattern Formation and Disorderly Growth
- Phenomenology of Growth
- Models and Applications
Part IV: Solition
- Integrable Systems
- Nonintegrable Systems
Part V: 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
- Contributors
- Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Lui Lam
Parution	31/12/2003
Nb. de pages	417
Format	15,5 x 23,5
Couverture	Broché
Poids	722g
Intérieur	Noir et Blanc
EAN13	9780387406145
ISBN13	978-0-387-40614-5