Its A Nonlinear World

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It's a Nonlinear World

Author : Richard H. Enns
Publisher : Springer Science & Business Media
ISBN 13 : 0387753400
Total Pages : 387 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis It's a Nonlinear World by : Richard H. Enns

Download or read book It's a Nonlinear World written by Richard H. Enns and published by Springer Science & Business Media. This book was released on 2010-10-14 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

It's a Nonlinear World

Author : Richard H. Enns
Publisher : Springer Science & Business Media
ISBN 13 : 0387753389
Total Pages : 387 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis It's a Nonlinear World by : Richard H. Enns

Download or read book It's a Nonlinear World written by Richard H. Enns and published by Springer Science & Business Media. This book was released on 2010-10-15 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Yoshitsugu Oono
Publisher : Springer Science & Business Media
ISBN 13 : 4431540296
Total Pages : 307 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis The Nonlinear World by : Yoshitsugu Oono

Download or read book The Nonlinear World written by Yoshitsugu Oono and published by Springer Science & Business Media. This book was released on 2012-10-30 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear World

Author :
Publisher :
ISBN 13 :
Total Pages : 900 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonlinear World by :

Download or read book Nonlinear World written by and published by . This book was released on 1996 with total page 900 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Dynamics and Chaos

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

A Journey Into the Nonlinear World

Author : Jüri Engelbrecht
Publisher : Springer Nature
ISBN 13 : 3031639227
Total Pages : 117 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis A Journey Into the Nonlinear World by : Jüri Engelbrecht

Download or read book A Journey Into the Nonlinear World written by Jüri Engelbrecht and published by Springer Nature. This book was released on 2024 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a personal story about being involved in the study of nonlinear phenomena for more than half a century. The focus is on the development of ideas and the resulting knowledge. This is the visible part of research, but much is usually hidden. The author describes how the ideas were generated and how an "invisible college" of friends and colleagues has emerged. The presentation is spiced by thoughts about the beauty of science and philosophical considerations on the complex world, where nonlinear interactions play an important role. The book is in some sense a biography but not so much about the personal life of the author -- it is about science and its actors. Based on the author's experience in many European research centres and science policy institutions, it reflects on the development of knowledge in nonlinear dynamics as well as science policy actions over the second half of the 20th century and the first quarter of the 21st century. Graduates and postgraduates interested in the progress of research will find the book particularly engaging.

An Introduction to Nonlinear Partial Differential Equations

Author : J. David Logan
Publisher : John Wiley & Sons
ISBN 13 : 0470225955
Total Pages : 416 pages
Book Rating : 4.4/5 (72 download)

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Book Synopsis An Introduction to Nonlinear Partial Differential Equations by : J. David Logan

Download or read book An Introduction to Nonlinear Partial Differential Equations written by J. David Logan and published by John Wiley & Sons. This book was released on 2008-04-11 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition: "This book is well conceived and well written. The author has succeeded in producing a text on nonlinear PDEs that is not only quite readable but also accessible to students from diverse backgrounds." —SIAM Review A practical introduction to nonlinear PDEs and their real-world applications Now in a Second Edition, this popular book on nonlinear partial differential equations (PDEs) contains expanded coverage on the central topics of applied mathematics in an elementary, highly readable format and is accessible to students and researchers in the field of pure and applied mathematics. This book provides a new focus on the increasing use of mathematical applications in the life sciences, while also addressing key topics such as linear PDEs, first-order nonlinear PDEs, classical and weak solutions, shocks, hyperbolic systems, nonlinear diffusion, and elliptic equations. Unlike comparable books that typically only use formal proofs and theory to demonstrate results, An Introduction to Nonlinear Partial Differential Equations, Second Edition takes a more practical approach to nonlinear PDEs by emphasizing how the results are used, why they are important, and how they are applied to real problems. The intertwining relationship between mathematics and physical phenomena is discovered using detailed examples of applications across various areas such as biology, combustion, traffic flow, heat transfer, fluid mechanics, quantum mechanics, and the chemical reactor theory. New features of the Second Edition also include: Additional intermediate-level exercises that facilitate the development of advanced problem-solving skills New applications in the biological sciences, including age-structure, pattern formation, and the propagation of diseases An expanded bibliography that facilitates further investigation into specialized topics With individual, self-contained chapters and a broad scope of coverage that offers instructors the flexibility to design courses to meet specific objectives, An Introduction to Nonlinear Partial Differential Equations, Second Edition is an ideal text for applied mathematics courses at the upper-undergraduate and graduate levels. It also serves as a valuable resource for researchers and professionals in the fields of mathematics, biology, engineering, and physics who would like to further their knowledge of PDEs.

Nonlinear Periodic Waves and Their Modulations

Author : Anatoli? Mikha?lovich Kamchatnov
Publisher : World Scientific
ISBN 13 : 981024407X
Total Pages : 399 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Nonlinear Periodic Waves and Their Modulations by : Anatoli? Mikha?lovich Kamchatnov

Download or read book Nonlinear Periodic Waves and Their Modulations written by Anatoli? Mikha?lovich Kamchatnov and published by World Scientific. This book was released on 2000 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the mathematical theory of nonlinear waves and solitons has made great progress, its applications to concrete physical problems are rather poor, especially when compared with the classical theory of linear dispersive waves and nonlinear fluid motion. The Whitham method, which describes the combining action of the dispersive and nonlinear effects as modulations of periodic waves, is not widely used by applied mathematicians and physicists, though it provides a direct and natural way to treat various problems in nonlinear wave theory. Therefore it is topical to describe recent developments of the Whitham theory in a clear and simple form suitable for applications in various branches of physics.This book develops the techniques of the theory of nonlinear periodic waves at elementary level and in great pedagogical detail. It provides an introduction to a Whitham's theory of modulation in a form suitable for applications. The exposition is based on a thorough analysis of representative examples taken from fluid mechanics, nonlinear optics and plasma physics rather than on the formulation and study of a mathematical theory. Much attention is paid to physical motivations of the mathematical methods developed in the book. The main applications considered include the theory of collisionless shock waves in dispersive systems and the nonlinear theory of soliton formation in modulationally unstable systems. Exercises are provided to amplify the discussion of important topics such as singular perturbation theory, Riemann invariants, the finite gap integration method, and Whitham equations and their solutions.

The Global Nonlinear Stability of the Minkowski Space (PMS-41)

Author : Demetrios Christodoulou
Publisher : Princeton University Press
ISBN 13 : 1400863171
Total Pages : 525 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Global Nonlinear Stability of the Minkowski Space (PMS-41) by : Demetrios Christodoulou

Download or read book The Global Nonlinear Stability of the Minkowski Space (PMS-41) written by Demetrios Christodoulou and published by Princeton University Press. This book was released on 2014-07-14 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singularities. The work contains a detailed description of the sense in which these solutions are close to the Minkowski space-time, in all directions. It thus provides the mathematical framework in which we can give a rigorous derivation of the laws of gravitation proposed by Bondi. Moreover, it establishes other important conclusions concerning the nonlinear character of gravitational radiation. The authors obtain their solutions as dynamic developments of all initial data sets, which are close, in a precise manner, to the flat initial data set corresponding to the Minkowski space-time. They thus establish the global dynamic stability of the latter. Originally published in 1994. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Introduction To Nonlinear Dynamics For Physicists

Author : Henry D I Abarbanel
Publisher : World Scientific
ISBN 13 : 9814504122
Total Pages : 170 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Introduction To Nonlinear Dynamics For Physicists by : Henry D I Abarbanel

Download or read book Introduction To Nonlinear Dynamics For Physicists written by Henry D I Abarbanel and published by World Scientific. This book was released on 1993-06-23 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series of lectures aims to address three main questions that anyone interested in the study of nonlinear dynamics should ask and ponder over. What is nonlinear dynamics and how does it differ from linear dynamics which permeates all familiar textbooks? Why should the physicist study nonlinear systems and leave the comfortable territory of linearity? How can one progress in the study of nonlinear systems both in the analysis of these systems and in learning about new systems from observing their experimental behavior? While it is impossible to answer these questions in the finest detail, this series of lectures nonetheless successfully points the way for the interested reader. Other useful problems have also been incorporated as a study guide. By presenting both substantial qualitative information about phenomena in nonlinear systems and at the same time sufficient quantitative material, the author hopes that readers would learn how to progress on their own in the study of such similar material hereon.

Recent Developments in Nonlinear Cointegration with Applications to Macroeconomics and Finance

Author : Gilles Dufrénot
Publisher : Springer Science & Business Media
ISBN 13 : 1475736150
Total Pages : 319 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Recent Developments in Nonlinear Cointegration with Applications to Macroeconomics and Finance by : Gilles Dufrénot

Download or read book Recent Developments in Nonlinear Cointegration with Applications to Macroeconomics and Finance written by Gilles Dufrénot and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introductory exposition of different topics that emerged in the literature as unifying themes between two fields of econometrics of time series, namely nonlinearity and nonstationarity. Papers on these topics have exploded over the last two decades, but they are rarely ex amined together. There is, undoubtedly, a variety of arguments that justify such a separation. But there are also good reasons that motivate their combination. People who are reluctant to a combined analysis might argue that nonlinearity and nonstationarity enhance non-trivial problems, so their combination does not stimulate interest in regard to plausibly increased difficulties. This argument can, however, be balanced by other ones of an economic nature. A predominant idea, today, is that a nonstationary series exhibits persistent deviations from its long-run components (either deterministic or stochastic trends). These persistent deviations are modelized in various ways: unit root models, fractionally integrated processes, models with shifts in the time trend, etc. However, there are many other behaviors inherent to nonstationary processes, that are not reflected in linear models. For instance, economic variables with mixture distributions, or processes that are state-dependent, undergo episodes of changing dynamics. In models with multiple long-run equi libria, the moving from an equilibrium to another sometimes implies hys teresis. Also, it is known that certain shocks can change the economic fundamentals, thereby reducing the possibility that an initial position is re-established after a shock (irreversibility).

Exploration of a Nonlinear World

Author : Kung-sik Chan
Publisher : World Scientific
ISBN 13 : 9812836276
Total Pages : 412 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Exploration of a Nonlinear World by : Kung-sik Chan

Download or read book Exploration of a Nonlinear World written by Kung-sik Chan and published by World Scientific. This book was released on 2009 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensions of Howell Tong's threshold approach to other fields of statistics abound. This volume is dedicated to his 65th birthday and consists of in-depth contributions from leading experts in a variety of fields of statistics, ecology, economics and finance as well as some of Tong's reprints.

Nonlinear Analysis and Global Optimization

Author : Themistocles M. Rassias
Publisher : Springer Nature
ISBN 13 : 3030617327
Total Pages : 484 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Nonlinear Analysis and Global Optimization by : Themistocles M. Rassias

Download or read book Nonlinear Analysis and Global Optimization written by Themistocles M. Rassias and published by Springer Nature. This book was released on 2021-02-26 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume discusses aspects of nonlinear analysis in which optimization plays an important role, as well as topics which are applied to the study of optimization problems. Topics include set-valued analysis, mixed concave-convex sub-superlinear Schroedinger equation, Schroedinger equations in nonlinear optics, exponentially convex functions, optimal lot size under the occurrence of imperfect quality items, generalized equilibrium problems, artificial topologies on a relativistic spacetime, equilibrium points in the restricted three-body problem, optimization models for networks of organ transplants, network curvature measures, error analysis through energy minimization and stability problems, Ekeland variational principles in 2-local Branciari metric spaces, frictional dynamic problems, norm estimates for composite operators, operator factorization and solution of second-order nonlinear difference equations, degenerate Kirchhoff-type inclusion problems, and more.

Nonlinear Pricing

Author : Christopher T. May
Publisher : John Wiley & Sons
ISBN 13 : 9780471245513
Total Pages : 392 pages
Book Rating : 4.2/5 (455 download)

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Book Synopsis Nonlinear Pricing by : Christopher T. May

Download or read book Nonlinear Pricing written by Christopher T. May and published by John Wiley & Sons. This book was released on 1999-02-22 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Die Chaostheorie erfreut sich in der Investmentbranche zwar großer Beliebtheit, aber bislang konnte niemand so recht sagen, wie man mit ihrer Hilfe Aktienkurse und Gewinne prognostizieren kann. Dieses Buch zeigt auf der Basis praktischer Methoden, daß Aktienkurse mit Hilfe der nichtlinearen Theorie zumindest teilweise vorhersehbar sind. Es wird anschaulich erläutert, wie verschiedene nichtlineare Techniken wie z.B. genetische Algorithmen, Fuzzy Logic und nichtlineare Dynamik anzuwenden sind. Hierbei läßt der Autor, der diese Methoden selbst gewinnbringend einsetzt, seine eigenen Erfahrungen mit einfließen. Das erste Buch zu diesem Thema, das reale, praxisnahe Anwendungen bietet. (01/99)

THE CHINESE DREAM: The Rise of the World's Largest Middle Class and What It Means to You

Author : Helen H. Wang
Publisher : Bestseller Press
ISBN 13 : 1617891657
Total Pages : 123 pages
Book Rating : 4.6/5 (178 download)

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Book Synopsis THE CHINESE DREAM: The Rise of the World's Largest Middle Class and What It Means to You by : Helen H. Wang

Download or read book THE CHINESE DREAM: The Rise of the World's Largest Middle Class and What It Means to You written by Helen H. Wang and published by Bestseller Press. This book was released on with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: (2nd Edition: July 6, 2012) In The Chinese Dream, a groundbreaking book about the rising middle class in China, Forbes columnist and China expert Helen Wang challenges us to recognize that some of our fears about China are grossly misplaced. As a result of China's new capitalist paradigm, a burgeoning middle class-calculated to reach 800 million within the next fifteen years-is jumping aboard the consumerism train and riding it for all it's worth-a reality that may provide the answer to America's economic woes. And with China's increasing urbanization and top-down governmental approach, it now faces increasing energy, environmental, and health problems-problems that the U.S. can help solve. Through timely interviews, personal stories, and a historical perspective, China-born Wang takes us into the world of the Chinese entrepreneurial middle class to show how a growing global mindset and the realization of unity in diversity may ultimately provide the way to creating a saner, safer world for all.

Nonlinear Gravitodynamics

Author : Remo Ruffini
Publisher : World Scientific
ISBN 13 : 9789812564818
Total Pages : 526 pages
Book Rating : 4.5/5 (648 download)

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Book Synopsis Nonlinear Gravitodynamics by : Remo Ruffini

Download or read book Nonlinear Gravitodynamics written by Remo Ruffini and published by World Scientific. This book was released on 2003 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a detailed, up-to-date account of theLenseOCoThirring effect and its implications for physics andastrophysics. Starting from a profound intuition of Lense and Thirringin 1918, based on a simple solution to the linearized Einstein fieldequations, this has emerged in the past four decades as a phenomenonof extraordinary importance in cosmology, radio jets in quasars, andthe physics of neutron stars and black holes, besides leading to someof the most sophisticated experiments ever performed in the spacesurrounding our planet."

Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1464965315
Total Pages : 743 pages
Book Rating : 4.4/5 (649 download)

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Book Synopsis Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition by :

Download or read book Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Calculus, Mathematical Analysis, and Nonlinear Research. The editors have built Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Calculus, Mathematical Analysis, and Nonlinear Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.