Introduction To Symmetry Analysis
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Introduction To Symmetry Analysis
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Author : Brian J. Cantwell
language : en
Publisher: Cambridge University Press
Release Date : 2002-09-23
Introduction To Symmetry Analysis written by Brian J. Cantwell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-23 with Mathematics categories.
Symmetry analysis based on Lie group theory is the most important method for solving nonlinear problems aside from numerical computation. The method can be used to find the symmetries of almost any system of differential equations and the knowledge of these symmetries can be used to reduce the complexity of physical problems governed by the equations. This is a broad, self-contained, introduction to the basics of symmetry analysis for first and second year graduate students in science, engineering and applied mathematics. Mathematica-based software for finding the Lie point symmetries and Lie-Bäcklund symmetries of differential equations is included on a CD along with more than forty sample notebooks illustrating applications ranging from simple, low order, ordinary differential equations to complex systems of partial differential equations. MathReader 4.0 is included to let the user read the sample notebooks and follow the procedure used to find symmetries.
Introduction To Symmetry Analysis
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Author : Brian Cantwell
language : en
Publisher:
Release Date : 2014-05-14
Introduction To Symmetry Analysis written by Brian Cantwell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
An introduction to symmetry analysis for graduate students in science, engineering and applied mathematics.
Group Theory In Physics An Introduction To Symmetry Principles Group Representations And Special Functions In Classical And Quantum Physics
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Author : Wu-ki Tung
language : en
Publisher: World Scientific Publishing Company
Release Date : 1985-08-31
Group Theory In Physics An Introduction To Symmetry Principles Group Representations And Special Functions In Classical And Quantum Physics written by Wu-ki Tung 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 1985-08-31 with Representations of groups categories.
An introductory text book for graduates and advanced undergraduates on group representation theory. It emphasizes group theory's role as the mathematical framework for describing symmetry properties of classical and quantum mechanical systems.Familiarity with basic group concepts and techniques is invaluable in the education of a modern-day physicist. This book emphasizes general features and methods which demonstrate the power of the group-theoretical approach in exposing the systematics of physical systems with associated symmetry.Particular attention is given to pedagogy. In developing the theory, clarity in presenting the main ideas and consequences is given the same priority as comprehensiveness and strict rigor. To preserve the integrity of the mathematics, enough technical information is included in the appendices to make the book almost self-contained.A set of problems and solutions has been published in a separate booklet.
An Introduction To Dynamical Systems And Chaos
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Author : G.C. Layek
language : en
Publisher: Springer
Release Date : 2015-12-01
An Introduction To Dynamical Systems And Chaos written by G.C. Layek and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-01 with Mathematics categories.
The book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on flow bifurcations, oscillatory solutions, symmetry analysis of nonlinear systems and chaos theory. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, and a number of examples worked out in detail and exercises have been included. Chapters 1–8 are devoted to continuous systems, beginning with one-dimensional flows. Symmetry is an inherent character of nonlinear systems, and the Lie invariance principle and its algorithm for finding symmetries of a system are discussed in Chap. 8. Chapters 9–13 focus on discrete systems, chaos and fractals. Conjugacy relationship among maps and its properties are described with proofs. Chaos theory and its connection with fractals, Hamiltonian flows and symmetries of nonlinear systems are among the main focuses of this book. Over the past few decades, there has been an unprecedented interest and advances in nonlinear systems, chaos theory and fractals, which is reflected in undergraduate and postgraduate curricula around the world. The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering.
Inorganic Chemistry
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Author : Mark Weller
language : en
Publisher: Oxford University Press, USA
Release Date : 2014
Inorganic Chemistry written by Mark Weller and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Science categories.
Leading the reader from the fundamental principles of inorganic chemistry, right through to cutting-edge research at the forefront of the subject, Inorganic Chemistry, Sixth Edition is the ideal course companion for the duration of a student's degree. The authors have drawn upon their extensive teaching and research experience in updating this established text; the sixth edition retains the much-praised clarity of style and layout from previous editions, while offering an enhanced Frontiers section. Exciting new applications of inorganic chemistry have been added to this section, in particular relating to materials chemistry and medicine. This edition also sees a greater use of learning features to provide students with all the support they need for their studies. Providing comprehensive coverage of inorganic chemistry, while placing it in context, this text will enable the reader to fully master this important subject. Online Resource Centre: For registered adopters of the text: · Figures, marginal structures, and tables of data ready to download · Test bank For students: · Answers to self-tests and exercises from the book · Videos of chemical reactions · Tables for group theory · Web links · Interactive structures and other resources on www.chemtube3D.com
Introduction To Ferroic Materials
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Author : Vinod Wadhawan
language : en
Publisher: CRC Press
Release Date : 2000-12-21
Introduction To Ferroic Materials written by Vinod Wadhawan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-12-21 with Technology & Engineering categories.
Ferroic materials are important, not only because of the improved understanding of condensed matter, but also because of their present and potential device applications. This book presents a unified description of ferroic materials at an introductory level, with the unifying factor being the occurrence of nondisruptive phase transitions in crystals that alter point-group symmetry. The book also aims to further systemitize the subject of ferroic materials, employing some formal, carefully worded, definitions and classification schemes. The basic physical principles leading to the wide-ranging applications of ferroic materials are also explained, while placing extra emphasis on the utilitarian role of symmetry in materials science.
Shriver And Atkins Inorganic Chemistry
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Author : Peter Atkins
language : en
Publisher: Oxford University Press, USA
Release Date : 2010
Shriver And Atkins Inorganic Chemistry written by Peter Atkins and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.
Inorganic Chemistry fifth edition represents an integral part of a student's chemistry education. Basic chemical principles are set out clearly in 'Foundations' and are fully developed throughout the text, culminating in the cutting-edge research topics of the 'Frontiers', which illustrate the dynamic nature of inorganic chemistry.
Symmetry And Perturbation Theory
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Author : Giuseppe Gaeta
language : en
Publisher: World Scientific
Release Date : 2008
Symmetry And Perturbation Theory written by Giuseppe Gaeta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This proceedings volume is devoted to the interplay of symmetry and perturbation theory, as well as to cognate fields such as integrable systems, normal forms, n-body dynamics and choreographies, geometry and symmetry of differential equations, and finite and infinite dimensional dynamical systems. The papers collected here provide an up-to-date overview of the research in the field, and have many leading scientists in the field among their authors, including: D Alekseevsky, S Benenti, H Broer, A Degasperis, M E Fels, T Gramchev, H Hanssmann, J Krashil''shchik, B Kruglikov, D Krupka, O Krupkova, S Lombardo, P Morando, O Morozov, N N Nekhoroshev, F Oliveri, P J Olver, J A Sanders, M A Teixeira, S Terracini, F Verhulst, P Winternitz, B Zhilinskii. Sample Chapter(s). Foreword (101 KB). Chapter 1: Homogeneous Bi-Lagrangian Manifolds and Invariant Monge-Ampere Equations (415 KB). Contents: On Darboux Integrability (I M Anderson et al.); Computing Curvature without Christoffel Symbols (S Benenti); Natural Variational Principles (D Krupka); Fuzzy Fractional Monodromy (N N Nekhoroshev); Emergence of Slow Manifolds in Nonlinear Wave Equations (F Verhulst); Complete Symmetry Groups and Lie Remarkability (K Andriopoulos); Geodesically Equivalent Flat Bi-Cofactor Systems (K Marciniak); On the Dihedral N-Body Problem (A Portaluri); Towards Global Classifications: A Diophantine Approach (P van der Kamp); and other papers. Readership: Researchers and students (graduate/advanced undergraduates) in mathematics, applied mathematics, physics and nonlinear science.
Symmetry And Perturbation Theory Proceedings Of The International Conference On Spt2004
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Author : Giuseppe Gaeta
language : en
Publisher: World Scientific
Release Date : 2005-01-25
Symmetry And Perturbation Theory Proceedings Of The International Conference On Spt2004 written by Giuseppe Gaeta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-25 with Science categories.
This proceedings volume is a collection of papers presented at the International Conference on SPT2004 focusing on symmetry, perturbation theory, and integrability.The book provides an updated overview of the recent developments in the various different fields of nonlinear dynamics, covering both theory and applications. Special emphasis is given to algebraic and geometric integrability, solutions to the N-body problem of the “choreography” type, geometry and symmetry of dynamical systems, integrable evolution equations, various different perturbation theories, and bifurcation analysis.The contributors to this volume include some of the leading scientists in the field, among them: I Anderson, D Bambusi, S Benenti, S Bolotin, M Fels, W Y Hsiang, V Matveev, A V Mikhailov, P J Olver, G Pucacco, G Sartori, M A Teixeira, S Terracini, F Verhulst and I Yehorchenko.
Nonlinear Dynamical Systems Of Mathematical Physics Spectral And Symplectic Integrability Analysis
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Author : Denis Blackmore
language : en
Publisher: World Scientific
Release Date : 2011-03-04
Nonlinear Dynamical Systems Of Mathematical Physics Spectral And Symplectic Integrability Analysis written by Denis Blackmore and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-04 with Mathematics categories.
This distinctive volume presents a clear, rigorous grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to timely leading-edge developments in the field — including some innovations by the authors themselves — that have not appeared in any other book.The exposition begins with an introduction to modern integrable dynamical systems theory, treating such topics as Liouville-Arnold and Mischenko-Fomenko integrability. This sets the stage for such topics as new formulations of the gradient-holonomic algorithm for Lax integrability, novel treatments of classical integration by quadratures, Lie-algebraic characterizations of integrability, and recent results on tensor Poisson structures. Of particular note is the development via spectral reduction of a generalized de Rham-Hodge theory, related to Delsarte-Lions operators, leading to new Chern type classes useful for integrability analysis. Also included are elements of quantum mathematics along with applications to Whitham systems, gauge theories, hadronic string models, and a supplement on fundamental differential-geometric concepts making this volume essentially self-contained.This book is ideal as a reference and guide to new directions in research for advanced students and researchers interested in the modern theory and applications of integrable (especially infinite-dimensional) dynamical systems.