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Encyclopedia of Nonlinear Science

Encyclopedia of Nonlinear Science
Author: Alwyn Scott
Publisher: Routledge
Total Pages: 1107
Release: 2006-05-17
Genre: Reference
ISBN: 1135455589

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In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.


Nonlinear Science

Nonlinear Science
Author: Alwyn Scott
Publisher: Oxford University Press on Demand
Total Pages: 480
Release: 2003
Genre: Mathematics
ISBN: 9780198528524

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Much mathematical modelling has involved the assumption that physical systems are approximately linear, leading to the construction of equations which, although relatively easy to solve, are unrealistic and overlook significant phenomena. Models assuming nonlinear systems, however, lead to theemergence of new structures that reflect reality much more closely. This second edition of Nonlinear Science, covers several important areas of nonlinear science, and places a strong emphasis on applications to realistic problems. It includes numerous new topics such as empirical results in molecular dynamics, solid-state physics, neuroscience, fluid dynamics, andbiophysics; numerous new exercises and solutions; updated sections on nerve impulse dynamics, quantum-theory of pump-probe measures, and local modes on lattices. With over 350 problems, including hints and solutions, this is an invaluable resource for graduate students and researchers in the appliedsciences, mathematics, biology, physics and engineering.This is the latest title in the Oxford Texts in Applied and Engineering Mathematics, which includes a range of texts from the undergraduate through to the graduate level. Most titles should be based on taught courses which explain the mathematical or computational techniques required for theresolution of fundamental applied problems. Other books in the series include: D. W. Jordan and P. Smith: Nonlinear ordinary differential equations: an introduction to dynamical systems 3rd Edition; I. J. Sobey: Introduction to interactive boundary layer theory; A. B. Tayler: Mathematical Models inApplied Mechanics (reissue); Ramdas Ram-Mohan: Finite Element and Boundary Element Applications in Quantum Mechanics; Lapeyre et al: Introduction to Monte-Carlo Methods for Transport and Diffusion Equations; Isaac Elishakoff and Yong Jin Ren: Finite Element Methods for Structures with LargeStochastic Variations


The Nonlinear Universe

The Nonlinear Universe
Author: Alwyn C. Scott
Publisher: Springer Science & Business Media
Total Pages: 371
Release: 2007-10-02
Genre: Science
ISBN: 3540341536

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Written in Alwyn Scott’s inimitable style, one that readers will find both lucid and accessible, this masterwork elucidates the explosion of activity in nonlinear science in recent decades. The book explains the wide-ranging implications of nonlinear phenomena for future developments in many areas of modern science, including mathematics, physics, engineering, chemistry, biology, and neuroscience. Arguably as important as quantum theory, modern nonlinear science is essential for understanding the scientific developments of the twenty-first century.


Nonlinear Science

Nonlinear Science
Author: Alwyn Scott
Publisher: Oxford University Press, USA
Total Pages: 504
Release: 1999
Genre: Mathematics
ISBN:

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Problems and summaries after each chapter


An Introduction to Nonlinear Chemical Dynamics

An Introduction to Nonlinear Chemical Dynamics
Author: Irving R. Epstein
Publisher: Oxford University Press
Total Pages: 407
Release: 1998-10-22
Genre: Science
ISBN: 0198025661

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Just a few decades ago, chemical oscillations were thought to be exotic reactions of only theoretical interest. Now known to govern an array of physical and biological processes, including the regulation of the heart, these oscillations are being studied by a diverse group across the sciences. This book is the first introduction to nonlinear chemical dynamics written specifically for chemists. It covers oscillating reactions, chaos, and chemical pattern formation, and includes numerous practical suggestions on reactor design, data analysis, and computer simulations. Assuming only an undergraduate knowledge of chemistry, the book is an ideal starting point for research in the field. The book begins with a brief history of nonlinear chemical dynamics and a review of the basic mathematics and chemistry. The authors then provide an extensive overview of nonlinear dynamics, starting with the flow reactor and moving on to a detailed discussion of chemical oscillators. Throughout the authors emphasize the chemical mechanistic basis for self-organization. The overview is followed by a series of chapters on more advanced topics, including complex oscillations, biological systems, polymers, interactions between fields and waves, and Turing patterns. Underscoring the hands-on nature of the material, the book concludes with a series of classroom-tested demonstrations and experiments appropriate for an undergraduate laboratory.


Physics of Fractal Operators

Physics of Fractal Operators
Author: Bruce West
Publisher: Springer Science & Business Media
Total Pages: 355
Release: 2012-12-06
Genre: Science
ISBN: 0387217460

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This text describes the statistcal behavior of complex systems and shows how the fractional calculus can be used to model the behavior. The discussion emphasizes physical phenomena whose evolution is best described using the fractional calculus, such as systems with long-range spatial interactions or long-time memory. The book gives general strategies for understanding wave propagation through random media, the nonlinear response of complex materials, and the fluctuations of heat transport in heterogeneous materials.


Nonlinear Science at the Dawn of the 21st Century

Nonlinear Science at the Dawn of the 21st Century
Author: P.L. Christiansen
Publisher: Springer
Total Pages: 460
Release: 2008-01-11
Genre: Science
ISBN: 3540466290

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Nonlinear science is by now a well established field of research at the interface of many traditional disciplines and draws on the theoretical concepts developed in physics and mathematics. The present volume gathers the contributions of leading scientists to give the state of the art in many areas strongly influenced by nonlinear research, such as superconduction, optics, lattice dynamics, biology and biomolecular dynamics. While this volume is primarily intended for researchers working in the field care, has been taken that it will also be of benefit to graduate students or nonexpert scientist wishing to familiarize themselves with the current status of research.


Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities

Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities
Author: Marian Wiercigroch
Publisher: World Scientific
Total Pages: 466
Release: 2000
Genre: Technology & Engineering
ISBN: 9789810229276

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Annotation Consisting primarily of contributions written by engineers from Europe, Asia, and the US, this volume provides a general methodology for describing, solving, and analyzing discontinuous systems. The focus is on mechanical engineering problems where clearances, piecewise stiffness, intermittent contact, variable friction, or other forms of discontinuity occur. Practical applications include vibration absorbers, percussive drilling of hard materials, and dynamics of metal cutting. Of likely interest to new and experienced researchers working in the field of applied mathematics and physics, mechanical and civil engineering, and manufacturing. Lacks a subject index. Annotation copyrighted by Book News, Inc., Portland, OR.


Concise Encyclopedia of Supersymmetry

Concise Encyclopedia of Supersymmetry
Author: Steven Duplij
Publisher: Springer Science & Business Media
Total Pages: 516
Release: 2005-11-07
Genre: Science
ISBN: 1402013388

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The book is the first full-size Encyclopedia which simultaneously covers such well-established and modern subjects as quantum field theory, supersymmetry, supergravity, M-theory, black holes and quantum gravity, noncommutative geometry, representation theory, categories and quantum groups, and their generalizations. The extraordinary historical part "the SUSY story," more than 700 authored articles from more than 250 high-level experts (including Nobel Prize Winner Gerard 't Hooft), a detailed (50 pages) Subject/Article three level index and an Author index, make the SUSY Encyclopedia an outstanding and indispensable book on the desk of researchers, experts, Ph.D. students, specialists and professionals in modern methods of theoretical and mathematical physics.


Encyclopedia of Sustainability Science and Technology

Encyclopedia of Sustainability Science and Technology
Author: Robert A. Meyers
Publisher: Springer
Total Pages: 12555
Release: 2012-09-30
Genre: Science
ISBN: 9780387894690

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The Encyclopedia of Sustainability Science and Technology (ESST) addresses the grand challenge for science and engineering today. It provides unprecedented, peer-reviewed coverage in more than 550 separate entries comprising 38 topical sections. ESST establishes a foundation for the many sustainability and policy evaluations being performed in institutions worldwide. An indispensable resource for scientists and engineers in developing new technologies and for applying existing technologies to sustainability, the Encyclopedia of Sustainability Science and Technology is presented at the university and professional level needed for scientists, engineers, and their students to support real progress in sustainability science and technology. Although the emphasis is on science and technology rather than policy, the Encyclopedia of Sustainability Science and Technology is also a comprehensive and authoritative resource for policy makers who want to understand the scope of research and development and how these bottom-up innovations map on to the sustainability challenge.