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Complex Symmetries
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Book Synopsis Complex Symmetries by : György Darvas
Download or read book Complex Symmetries written by György Darvas and published by Springer Nature. This book was released on 2022-01-01 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of essays on complex symmetries. It is curated, emphasizing the analysis of the symmetries, not the various phenomena that display those symmetries themselves. With this, the volume provides insight to nonspecialist readers into how individual simple symmetries constitute complex symmetry. The authors and the topics cover many different disciplines in various sciences and arts. Simple symmetries, such as reflection, rotation, translation, similitude, and a few other simple manifestations of the phenomenon, are all around, and we are aware of them in our everyday lives. However, there are myriads of complex symmetries (composed of a bulk of simple symmetries) as well. For example, the well-known helix represents the combination of translational and rotational symmetry. Nature produces a great variety of such complex symmetries. So do the arts. The contributions in this volume analyse selected examples (not limited to geometric symmetries). These include physical symmetries, functional (meaning not morphological) symmetries, such as symmetries in the construction of the genetic code, symmetries in human perception (e.g., in geometry education as well as in constructing physical theories), symmetries in fractal structures and structural morphology, including quasicrystal and fullerene structures in stable bindings and their applications in crystallography and architectural design, as well as color symmetries in the arts. The volume is rounded of with beautiful illustrations and presents a fascinating panorama of this interdisciplinary topic.
Book Synopsis Symmetries and Applications of Differential Equations by : Albert C. J. Luo
Download or read book Symmetries and Applications of Differential Equations written by Albert C. J. Luo and published by Springer Nature. This book was released on 2021-12-14 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about Lie group analysis of differential equations for physical and engineering problems. The topics include: -- Approximate symmetry in nonlinear physical problems -- Complex methods for Lie symmetry analysis -- Lie group classification, Symmetry analysis, and conservation laws -- Conservative difference schemes -- Hamiltonian structure and conservation laws of three-dimensional linear elasticity -- Involutive systems of partial differential equations This collection of works is written in memory of Professor Nail H. Ibragimov (1939–2018). It could be used as a reference book in differential equations in mathematics, mechanical, and electrical engineering.
Book Synopsis Symmetries, Differential Equations and Applications by : Victor G. Kac
Download or read book Symmetries, Differential Equations and Applications written by Victor G. Kac and published by Springer. This book was released on 2018-11-04 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the third International Conference on Symmetries, Differential Equations and Applications (SDEA-III), this proceedings volume highlights recent important advances and trends in the applications of Lie groups, including a broad area of topics in interdisciplinary studies, ranging from mathematical physics to financial mathematics. The selected and peer-reviewed contributions gathered here cover Lie theory and symmetry methods in differential equations, Lie algebras and Lie pseudogroups, super-symmetry and super-integrability, representation theory of Lie algebras, classification problems, conservation laws, and geometrical methods. The SDEA III, held in honour of the Centenary of Noether’s Theorem, proven by the prominent German mathematician Emmy Noether, at Istanbul Technical University in August 2017 provided a productive forum for academic researchers, both junior and senior, and students to discuss and share the latest developments in the theory and applications of Lie symmetry groups. This work has an interdisciplinary appeal and will be a valuable read for researchers in mathematics, mechanics, physics, engineering, medicine and finance.
Book Synopsis Symmetry and Complexity by : Klaus Mainzer
Download or read book Symmetry and Complexity written by Klaus Mainzer and published by World Scientific. This book was released on 2005-06-10 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' 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. Contents:Symmetry and Complexity in Early Culture and PhilosophySymmetry and Complexity in MathematicsSymmetry and Complexity in Physical SciencesSymmetry and Complexity in Chemical SciencesSymmetry and Complexity in Life SciencesSymmetry and Complexity in Economic and Social SciencesSymmetry and Complexity in Computer ScienceSymmetry and Complexity in Philosophy and Arts Readership: Upper-level undergraduates, graduate students, researchers, academics, and professionals in interdisciplinary sciences. Keywords:Symmetry;Symmetry Breaking;Complexity;Nonlinear Science;Dynamical System;Chaos;Bifurcation;Fractal;Computational System;Information Dynamics;Philosophy of Science;ArtsKey Features:Valuable insights from natural, social and computer sciencesAttractive pictures and illustrations enhancing the spirit and beauty of nonlinear scienceReviews:“This outstanding book is a general overview of the notion of symmetry and its many connections to the ideas of complexity … The book will be especially useful to the intelligent general reader as well as advanced undergraduate students looking for challenging technical problems to solve, reconfigure, or redefine.”Zentralblatt MATH '
Book Synopsis Creating Symmetry by : Frank A. Farris
Download or read book Creating Symmetry written by Frank A. Farris and published by Princeton University Press. This book was released on 2015-06-02 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: A step-by-step illustrated introduction to the astounding mathematics of symmetry This lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry. Instead of breaking up patterns into blocks—a sort of potato-stamp method—Frank Farris offers a completely new waveform approach that enables you to create an endless variety of rosettes, friezes, and wallpaper patterns: dazzling art images where the beauty of nature meets the precision of mathematics. Featuring more than 100 stunning color illustrations and requiring only a modest background in math, Creating Symmetry begins by addressing the enigma of a simple curve, whose curious symmetry seems unexplained by its formula. Farris describes how complex numbers unlock the mystery, and how they lead to the next steps on an engaging path to constructing waveforms. He explains how to devise waveforms for each of the 17 possible wallpaper types, and then guides you through a host of other fascinating topics in symmetry, such as color-reversing patterns, three-color patterns, polyhedral symmetry, and hyperbolic symmetry. Along the way, Farris demonstrates how to marry waveforms with photographic images to construct beautiful symmetry patterns as he gradually familiarizes you with more advanced mathematics, including group theory, functional analysis, and partial differential equations. As you progress through the book, you'll learn how to create breathtaking art images of your own. Fun, accessible, and challenging, Creating Symmetry features numerous examples and exercises throughout, as well as engaging discussions of the history behind the mathematics presented in the book.
Book Synopsis Embedded Symmetries, Natural and Cultural by : Dorothy Koster Washburn
Download or read book Embedded Symmetries, Natural and Cultural written by Dorothy Koster Washburn and published by UNM Press. This book was released on 2004 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scholars representing several disciplines examine how patterns and symmetry are expressed and resonate in a variety of man's creations and cultures.
Book Synopsis Symmetries and Overdetermined Systems of Partial Differential Equations by : Michael Eastwood
Download or read book Symmetries and Overdetermined Systems of Partial Differential Equations written by Michael Eastwood and published by Springer Science & Business Media. This book was released on 2009-04-23 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-week summer program considered the symmetries preserving various natural geometric structures. There are two parts to the proceedings. The articles in the first part are expository but all contain significant new material. The articles in the second part are concerned with original research. All articles were thoroughly refereed and the range of interrelated work ensures that this will be an extremely useful collection.
Book Synopsis Symmetries of Compact Riemann Surfaces by : Emilio Bujalance
Download or read book Symmetries of Compact Riemann Surfaces written by Emilio Bujalance and published by Springer. This book was released on 2010-09-29 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph covers symmetries of compact Riemann surfaces. It examines the number of conjugacy classes of symmetries, the numbers of ovals of symmetries and the symmetry types of Riemann surfaces.
Book Synopsis Physics from Symmetry by : Jakob Schwichtenberg
Download or read book Physics from Symmetry written by Jakob Schwichtenberg and published by Springer. This book was released on 2017-12-01 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.
Book Synopsis Operational Symmetries by : Heinrich Saller
Download or read book Operational Symmetries written by Heinrich Saller and published by Springer. This book was released on 2017-06-19 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the endeavour to relate the particle spectrum with representations of operational electroweak spacetime, in analogy to the atomic spectrum as characterizing representations of hyperbolic space. The spectrum of hyperbolic position space explains the properties of the nonrelativistic atoms; the spectrum of electroweak spacetime is hoped to explain those of the basic interactions and elementary particles. In this book, the theory of operational symmetries is developed from the numbers, from Plato’s and Kepler’s symmetries over the simple Lie groups to their applications in nonrelativistic, special relativistic and general relativistic quantum theories with the atomic spectrum for hyperbolic position and, in first attempts, the particle spectrum for electroweak spacetime. The standard model of elementary particles and interactions is characterized by a symmetry group. In general, as initiated by Weyl and stressed by Heisenberg, quantum theory can be built as a theory of operation groups and their unitary representations. In such a framework, time, position and spacetime is modeled by equivalence classes of symmetry groups. For a unification on this road, the quest is not for a final theory with a basic equation for basic particles, but for the basic operation group and its representations.
Author :Decio Levi Publisher :American Mathematical Society, Centre de Recherches Mathématiques ISBN 13 :0821843540 Total Pages :520 pages Book Rating :4.8/5 (218 download)
Book Synopsis Continuous Symmetries and Integrability of Discrete Equations by : Decio Levi
Download or read book Continuous Symmetries and Integrability of Discrete Equations written by Decio Levi and published by American Mathematical Society, Centre de Recherches Mathématiques. This book was released on 2023-01-23 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on integrable systems and symmetries presents new results on applications of symmetries and integrability techniques to the case of equations defined on the lattice. This relatively new field has many applications, for example, in describing the evolution of crystals and molecular systems defined on lattices, and in finding numerical approximations for differential equations preserving their symmetries. The book contains three chapters and five appendices. The first chapter is an introduction to the general ideas about symmetries, lattices, differential difference and partial difference equations and Lie point symmetries defined on them. Chapter 2 deals with integrable and linearizable systems in two dimensions. The authors start from the prototype of integrable and linearizable partial differential equations, the Korteweg de Vries and the Burgers equations. Then they consider the best known integrable differential difference and partial difference equations. Chapter 3 considers generalized symmetries and conserved densities as integrability criteria. The appendices provide details which may help the readers' understanding of the subjects presented in Chapters 2 and 3. This book is written for PhD students and early researchers, both in theoretical physics and in applied mathematics, who are interested in the study of symmetries and integrability of difference equations.
Book Synopsis Crystal Symmetries by : B. K. Vainshtein
Download or read book Crystal Symmetries written by B. K. Vainshtein and published by Elsevier. This book was released on 2014-06-28 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crystal Symmetries is a timely account of the progress in the most diverse fields of crystallography. It presents a broad overview of the theory of symmetry and contains state of the art reports of its modern directions and applications to crystal physics and crystal properties. Geometry takes a special place in this treatise. Structural aspects of phase transitions, correlation of structure and properties, polytypism, modulated structures, and other topics are discussed. Applications of important techniques, such as X-ray crystallography, biophysical studies, EPR spectroscopy, crystal optics, and nuclear solid state physics, are represented. Contains 30 research and review papers.
Book Synopsis Quantum Symmetries in Theoretical Physics and Mathematics by : M A Lifshits
Download or read book Quantum Symmetries in Theoretical Physics and Mathematics written by M A Lifshits and published by American Mathematical Soc.. This book was released on 2002 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents articles from several lectures presented at the school on 'Quantum Symmetries in Theoretical Physics and Mathematics' held in Bariloche, Argentina. The various lecturers provided significantly different points of view on several aspects of Hopf algebras, quantum group theory, and noncommutative differential geometry, ranging from analysis, geometry, and algebra to physical models, especially in connection with integrable systems and conformal field theories. Primary topics discussed in the text include subgroups of quantum $SU(N)$, quantum ADE classifications and generalized Coxeter systems, modular invariance, defects and boundaries in conformal field theory, finite dimensional Hopf algebras, Lie bialgebras and Belavin-Drinfeld triples, real forms of quantum spaces, perturbative and non-perturbative Yang-Baxter operators, braided subfactors in operator algebras and conformal field theory, and generalized ($d^N$) cohomologies.
Book Synopsis Shapes, Space, and Symmetry by : Alan Holden
Download or read book Shapes, Space, and Symmetry written by Alan Holden and published by Courier Corporation. This book was released on 1991-01-01 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains structure of nine regular solids and many semiregular solids and demonstrates how they can be used to explain mathematics. Instructions for cardboard models. Over 300 illustrations. 1971 edition.
Book Synopsis Dynamical Symmetries for Nanostructures by : Konstantin Kikoin
Download or read book Dynamical Symmetries for Nanostructures written by Konstantin Kikoin and published by Springer Science & Business Media. This book was released on 2011-12-01 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group theoretical concepts elucidate fundamental physical phenomena, including excitation spectra of quantum systems and complex geometrical structures such as molecules and crystals. These concepts are extensively covered in numerous textbooks. The aim of the present monograph is to illuminate more subtle aspects featuring group theory for quantum mechanics, that is, the concept of dynamical symmetry. Dynamical symmetry groups complement the conventional groups: their elements induce transitions between states belonging to different representations of the symmetry group of the Hamiltonian. Dynamical symmetry appears as a hidden symmetry in the hydrogen atom and quantum rotator problem, but its main role is manifested in nano and meso systems. Such systems include atomic clusters, large molecules, quantum dots attached to metallic electrodes, etc. They are expected to be the building blocks of future quantum electronic devices and information transmitting algorithms. Elucidation of the electronic properties of such systems is greatly facilitated by applying concepts of dynamical group theory.
Book Synopsis Universal Concept of Complexity by the Dynamic Redundance Paradigm by : Andrei P. Kirilyuk
Download or read book Universal Concept of Complexity by the Dynamic Redundance Paradigm written by Andrei P. Kirilyuk and published by . This book was released on 1997 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quarks, Symmetries And Strings - A Symposium In Honor Of Bunji Sakita's 60th Birthday by : Michio Kaku
Download or read book Quarks, Symmetries And Strings - A Symposium In Honor Of Bunji Sakita's 60th Birthday written by Michio Kaku and published by World Scientific. This book was released on 1991-04-30 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quarks, Symmetries and Strings is a book that reflects the rich diversity of current research in physics: it describes quantum chromodynamics, quark phenomenology, superstring theory, supersymmetry, matrix models, statistical methods, superconductivity and neural networks. The book also reflects the diversity of Dr Bunji Sakita's scientific work. Dr Sakita has made seminal contributions in many of these areas. The book celebrates the many path-breaking ideas he pioneered which still cross-fertilize many of the most active areas of current research.
