Nonlinear World
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It S A Nonlinear World
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Author : Richard H. Enns
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-14
It S A Nonlinear World written by Richard H. Enns and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-14 with Mathematics categories.
Drawing examples from mathematics, physics, chemistry, biology, engineering, economics, medicine, politics, and sports, this book illustrates how nonlinear dynamics plays a vital role in our world. Examples cover a wide range from the spread and possible control of communicable diseases, to the lack of predictability in long-range weather forecasting, to competition between political groups and nations. After an introductory chapter that explores what it means to be nonlinear, the book covers the mathematical concepts such as limit cycles, fractals, chaos, bifurcations, and solitons, that will be applied throughout the book. Numerous computer simulations and exercises allow students to explore topics in greater depth using the Maple computer algebra system. The mathematical level of the text assumes prior exposure to ordinary differential equations and familiarity with the wave and diffusion equations. No prior knowledge of Maple is assumed. The book may be used at the undergraduate or graduate level to prepare science and engineering students for problems in the "real world", or for self-study by practicing scientists and engineers.
The Nonlinear World
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Author : Yoshitsugu Oono
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-30
The Nonlinear World written by Yoshitsugu Oono and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-30 with Science categories.
The most important characteristic of the “world filled with nonlinearity” is the existence of scale interference: disparate space–time scales interfere with each other. Thus, the effects of unknowable scales invade the world that we can observe directly. This leads to various peculiar phenomena such as chaos, critical phenomena, and complex biological phenomena, among others. Conceptual analysis and phenomenology are the keys to describe and understand phenomena that are subject to scale interference, because precise description of unfamiliar phenomena requires precise concepts and their phenomenological description. The book starts with an illustration of conceptual analysis in terms of chaos and randomness, and goes on to explain renormalization group philosophy as an approach to phenomenology. Then, abduction is outlined as a way to express what we have understood about the world. The book concludes with discussions on how we can approach genuinely complex phenomena, including biological phenomena. The main target of this volume is young people who have just started to appreciate the world seriously. The author also wishes the book to be helpful to those who have been observing the world, but who wish to appreciate it afresh from a different angle.
It S A Nonlinear World
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Author : Richard H. Enns
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-15
It S A Nonlinear World written by Richard H. Enns and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-15 with Mathematics categories.
Drawing examples from mathematics, physics, chemistry, biology, engineering, economics, medicine, politics, and sports, this book illustrates how nonlinear dynamics plays a vital role in our world. Examples cover a wide range from the spread and possible control of communicable diseases, to the lack of predictability in long-range weather forecasting, to competition between political groups and nations. After an introductory chapter that explores what it means to be nonlinear, the book covers the mathematical concepts such as limit cycles, fractals, chaos, bifurcations, and solitons, that will be applied throughout the book. Numerous computer simulations and exercises allow students to explore topics in greater depth using the Maple computer algebra system. The mathematical level of the text assumes prior exposure to ordinary differential equations and familiarity with the wave and diffusion equations. No prior knowledge of Maple is assumed. The book may be used at the undergraduate or graduate level to prepare science and engineering students for problems in the "real world", or for self-study by practicing scientists and engineers.
Exploration Of A Nonlinear World
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Author : Kung-Sik Chan
language : en
Publisher: World Scientific
Release Date : 2009
Exploration Of A Nonlinear World written by Kung-Sik Chan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Business & Economics categories.
This festschrift is dedicated to Professor Howell Tong on the occasion of his 65th birthday. With a Foreword written by Professor Peter Whittle, FRS, it celebrates Tong's path-breaking and tireless contributions to nonlinear time series analysis, chaos and statistics, by reprinting 10 selected papers by him and his collaborators, which are interleaved with 17 original reviews, written by 19 international experts. Through these papers and reviews, readers will have an opportunity to share many of the excitements, retrospectively and prospectively, of the relatively new subject of nonlinear time series. Tong has played a leading role in laying the foundation of the subject; his innovative and authoritative contributions are reflected in the review articles in the volume, which describe modern and related developments in the subject, including applications in many major fields such as ecology, economics, finance and others. This volume will be useful to researchers and students interested in the theory and practice of nonlinear time series analysis. Sample Chapter(s). Foreword (68 KB). Chapter 1: Birth of the Threshold Time Series Model (269 KB). Contents: Reflections on Threshold Autoregression (P J Brockwell); The Threshold Approach in Volatility Modelling (W K Li); Dependence and Nonlinearity (M Rosenblatt); Recent Developments on Semiparametric Regression Model Selection (J Gao); Thoughts on the Connections Between Threshold Time Series Models and Dynamical Systems (D B H Cline); Crossing the Bridge Backwards: Some Comments on Early Interdisciplinary Efforts (C D Cutler); On Likelihood Ratio Tests for Threshold Autoregression (K-S Chan & H Tong); An Adaptive Estimation Method for Semiparametric Models and Dimension Reduction (C Leng et al.); On Howell Tong's Contributions to Reliability (M M Ali); and other papers. Readership: Graduate students and researchers in statistics and related fields of ecology, economics and finance.
Nonlinear World Iv International Workshop On Nonlinear And Turbulent Processes In Physics In 2 Volumes
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Author : Bar'yakhtar V G
language : en
Publisher: World Scientific
Release Date : 1990-09-17
Nonlinear World Iv International Workshop On Nonlinear And Turbulent Processes In Physics In 2 Volumes written by Bar'yakhtar V G and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-09-17 with categories.
World Congress Of Nonlinear Analysts 92
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Author : V. Lakshmikantham
language : en
Publisher: Walter de Gruyter
Release Date : 2011-11-14
World Congress Of Nonlinear Analysts 92 written by V. Lakshmikantham and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-14 with Mathematics categories.
Symmetry And Complexity
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Author : Klaus Mainzer
language : en
Publisher: World Scientific
Release Date : 2005
Symmetry And Complexity written by Klaus Mainzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
Cosmic evolution leads from symmetry to complexity by symmetry breaking and phase transitions. The emergence of new order and structure in nature and society is explained by physical, chemical, biological, social and economic self-organization, according to the laws of nonlinear dynamics. All these dynamical systems are considered computational systems processing information and entropy. Are symmetry and complexity only useful models of science or are they universals of reality? Symmetry and Complexity discusses the fascinating insights gained from natural, social and computer sciences, philosophy and the arts. With many diagrams and pictures, this book illustrates the spirit and beauty of nonlinear science. In the complex world of globalization, it strongly argues for unity in diversity.
Nonlinear World
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Author : Viktor Grigorʹevich Barʹi︠a︡khtar
language : en
Publisher:
Release Date : 1990
Nonlinear World written by Viktor Grigorʹevich Barʹi︠a︡khtar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Nonlinear World
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Author : Viktor Grigorʹevich Barʹi︠a︡khtar
language : en
Publisher:
Release Date : 1990
Nonlinear World written by Viktor Grigorʹevich Barʹi︠a︡khtar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Nonlinear Workbook The Chaos Fractals Cellular Automata Neural Networks Genetic Algorithms Gene Expression Programming Support Vector Machine Wavelets Hidden Markov Models Fuzzy Logic With C Java And Symbolicc Programs 3rd Edition
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Author : Steeb Willi-hans
language : en
Publisher: World Scientific Publishing Company
Release Date : 2005-03-28
Nonlinear Workbook The Chaos Fractals Cellular Automata Neural Networks Genetic Algorithms Gene Expression Programming Support Vector Machine Wavelets Hidden Markov Models Fuzzy Logic With C Java And Symbolicc Programs 3rd Edition written by Steeb Willi-hans and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-28 with Computers categories.
The study of nonlinear dynamical systems has advanced tremendously in the last 20 years, making a big impact on science and technology. This book provides all the techniques and methods used in nonlinear dynamics. The concepts and underlying mathematics are discussed in detail.The numerical and symbolic methods are implemented in C++, SymbolicC++ and Java. Object-oriented techniques are also applied. The book contains more than 150 ready-to-run programs.The text has also been designed for a one-year course at both the junior and senior levels in nonlinear dynamics. The topics discussed in the book are part of e-learning and distance learning courses conducted by the International School for Scientific Computing.