Encyclopedia of Nonlinear Science

Author: Alwyn Scott
Publisher: Routledge
ISBN: 1135455589
Format: PDF, Mobi
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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

Author: Alwyn Scott
Publisher: Oxford University Press on Demand
ISBN: 9780198528524
Format: PDF, ePub, Mobi
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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 the emergence 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 onapplications to realistic problems. It includes numerous new topics such as empirical results in molecular dynamics, solid-state physics, neuroscience, fluid dynamics, and biophysics; 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 applied sciences, 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 the resolution 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 in Applied 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 Large Stochastic Variations

The Nonlinear Universe

Author: Alwyn C. Scott
Publisher: Springer Science & Business Media
ISBN: 3540341536
Format: PDF
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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.

Introduction to the Modern Theory of Dynamical Systems

Author: Anatole Katok
Publisher: Cambridge University Press
ISBN: 9780521575577
Format: PDF, Kindle
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This book provides a self-contained comprehensive exposition of the theory of dynamical systems. The book begins with a discussion of several elementary but crucial examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate and up.

Introduction to Applied Nonlinear Dynamical Systems and Chaos

Author: Stephen Wiggins
Publisher: Springer Science & Business Media
ISBN: 0387217495
Format: PDF
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This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms. From the reviews: "Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte für Mathematik

Encyclopedia of Modern Optics

Author: Bob D. Guenther
Publisher: Academic Press
ISBN: 0128149825
Format: PDF, ePub
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The Encyclopedia of Modern Optics, Second Edition, provides a wide-ranging overview of the field, comprising authoritative reference articles for undergraduate and postgraduate students and those researching outside their area of expertise. Topics covered include classical and quantum optics, lasers, optical fibers and optical fiber systems, optical materials and light-emitting diodes (LEDs). Articles cover all subfields of optical physics and engineering, such as electro-optical design of modulators and detectors. This update contains contributions from international experts who discuss topics such as nano-photonics and plasmonics, optical interconnects, photonic crystals and 2D materials, such as graphene or holy fibers. Other topics of note include solar energy, high efficiency LED’s and their use in illumination, orbital angular momentum, quantum optics and information, metamaterials and transformation optics, high power fiber and UV fiber lasers, random lasers and bio-imaging. Addresses recent developments in the field and integrates concepts from fundamental physics with applications for manufacturing and engineering/design Provides a broad and interdisciplinary coverage of specialist areas Ensures that the material is appropriate for new researchers and those working in a new sub-field, as well as those in industry Thematically arranged and alphabetically indexed, with cross-references added to facilitate ease-of-use

Gender and International Security

Author: Laura Sjoberg
Publisher: Routledge
ISBN: 1135240256
Format: PDF, ePub
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This book defines the relationship between gender and international security, analyzing and critiquing international security theory and practice from a gendered perspective. Gender issues have an important place in the international security landscape, but have been neglected both in the theory and practice of international security. The passage and implementation of UN Security Council Resolution 1325 (on Security Council operations), the integration of gender concerns into peacekeeping, the management of refugees, post-conflict disarmament and reintegration and protection for non-combatants in times of war shows the increasing importance of gender sensitivity for actors on all fronts in global security. This book aims to improve the quality and quantity of conversations between feminist security studies and security studies more generally, in order to demonstrate the importance of gender analysis to the study of international security, and to expand the feminist research program in Security Studies. The chapters included in this book not only challenge the assumed irrelevance of gender, they argue that gender is not a subsection of security studies to be compartmentalized or briefly considered as a side issue. Rather, the contributors argue that gender is conceptually, empirically, and normatively essential to studying international security. They do so by critiquing and reconstructing key concepts of and theories in international security, by looking for the increasingly complex roles women play as security actors, and by looking at various contemporary security issues through gendered lenses. Together, these chapters make the case that accurate, rigorous, and ethical scholarship of international security cannot be produced without taking account of women’s presence in or the gendering of world politics. This book will be of interest to all students of critical security studies, gender studies and International Relations in general. Laura Sjoberg is Assistant Professor of Political Science at the University of Florida. She has a Phd in International Relations and Gender Studies from the University of Southern California and is the author of Gender, Justice, and the Wars in Iraq (2006) and, with Caron Gentry, Mothers, Monsters, Whores: Women's Violence in Global Politics (2007)

The Emerging Physics of Consciousness

Author: Jack A. Tuszynski
Publisher: Springer Science & Business Media
ISBN: 3540367233
Format: PDF
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Seeks answers to these questions using the underlying assumption that consciousness can be understood using the intellectual potential of modern physics and other sciences. There are a number of theories of consciousness, some based on classical physics while others require the use of quantum concepts. The latter ones have drawn criticism from the parts of the scientific establishment while simultaneously claiming that classical approaches are doomed to failure. The contributing authors presents a spectrum of opinions from both sides of this on-going scientific debate, allowing readers to decide for themselves which of the approaches are most likely to succeed.