Similarity And Symmetry Methods

Author : Jean-François Ganghoffer,Ivaïlo Mladenov
Publisher : Springer
Page : 376 pages
File Size : 47,6 Mb
Release : 2014-07-19
Category : Science
ISBN : 9783319082967

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Similarity and Symmetry Methods by Jean-François Ganghoffer,Ivaïlo Mladenov Pdf

The principle aim of the book is to present a self-contained, modern account of similarity and symmetry methods, which are important mathematical tools for both physicists, engineers and applied mathematicians. The idea is to provide a balanced presentation of the mathematical techniques and applications of symmetry methods in mathematics, physics and engineering. That is why it includes recent developments and many examples in finding systematically conservation laws, local and nonlocal symmetries for ordinary and partial differential equations. The role of continuous symmetries in classical and quantum field theories is exposed at a technical level accessible even for non specialists. The importance of symmetries in continuum mechanics and mechanics of materials is highlighted through recent developments, such as the construction of constitutive models for various materials combining Lie symmetries with experimental data. As a whole this book is a unique collection of contributions from experts in the field, including specialists in the mathematical treatment of symmetries, researchers using symmetries from a fundamental, applied or numerical viewpoint. The book is a fascinating overview of symmetry methods aimed for graduate students in physics, mathematics and engineering, as well as researchers either willing to enter in the field or to capture recent developments and applications of symmetry methods in different scientific fields.

Author : L. I. Sedov
Publisher : CRC Press
Page : 230 pages
File Size : 40,9 Mb
Release : 2018-05-04
Category : Science
ISBN : 9781351416566

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Similarity and Dimensional Methods in Mechanics by L. I. Sedov Pdf

Similiarity and Dimensional Methods in Mechanics, 10th Edition is an English language translation of this classic volume examining the general theory of dimensions of physical quantities, the theory of mechanical and physical similarity, and the theory of modeling. Several examples illustrate the use of the theories of similarity and dimensions for establishing fundamental mechanical regularities in aviation, explosions, and astrophysics, as well as in the hydrodynamics of ships. Other interesting areas covered include the general theory of automodel motions of continuum media, the theory of propagation of explosion waves in gases, the theory of one-dimensional nonestablished motion in gases, the fundamentals of the gas-dynamics theory of atom-bomb explosion in the atmosphere and the theory of averaging of gaseous flows in channels. Aspects of modeling include the dimensionless characteristics of compressor operation, the theories of engine thrust, and efficiency of an ideal propeller for subsonic and supersonic speeds. Similiarity and Dimensional Methods in Mechanics, 10th Edition is an ideal volume for researchers and students involved in physics and mechanics.

Author : George W. Bluman,Julian D. Cole
Publisher : Unknown
Page : 348 pages
File Size : 40,6 Mb
Release : 1974
Category : Differential equations
ISBN : PURD:32754000520696

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Similarity Methods for Differential Equations by George W. Bluman,Julian D. Cole Pdf

Author : Peter Ellsworth Hydon
Publisher : Cambridge University Press
Page : 230 pages
File Size : 52,6 Mb
Release : 2000-01-28
Category : Mathematics
ISBN : 0521497868

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Symmetry Methods for Differential Equations by Peter Ellsworth Hydon Pdf

An introduction to symmetry methods, informally written and aimed at applied mathematicians, physicists, and engineers.

Author : Raphael Gotthard Harald Arlitt
Publisher : Cuvillier Verlag
Page : 221 pages
File Size : 41,8 Mb
Release : 2005
Category : Electronic
ISBN : 9783865373465

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Analysis of Weakly Compressible Turbulence Using Symmetry Methods and Direct Numerical Simulation by Raphael Gotthard Harald Arlitt Pdf

Author : Slavik Vlado Jablan
Publisher : World Scientific
Page : 344 pages
File Size : 42,5 Mb
Release : 2002-08-13
Category : Mathematics
ISBN : 9789814488068

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Symmetry, Ornament and Modularity by Slavik Vlado Jablan Pdf

This book discusses the origins of ornamental art — illustrated by the oldest examples, dating mostly from the paleolithic and neolithic ages, and considered from the theory-of-symmetry point of view. Because of its multidisciplinary nature, it will interest a wide range of readers: mathematicians, artists, art historians, architects, psychologists, and anthropologists. The book represents the complete analysis of plane symmetry structures, so it can be used by artists as a guide to the creation of new symmetry patterns. Some parts of the contents (such as Chapter 4, about conformal symmetry, and Chapter 6, about modularity in art) give the reader an opportunity to develop computer programs for producing images illustrating the corresponding symmetry forms. Contents:Theory of Isometric Symmetry Groups in E2 and Ornamental ArtSimilarity Symmetry in E2Conformal Symmetry in E2\{O}The Theory of Symmetry and Ornamental ArtModularity in Art Readership: Mathematicians, psychologists, anthropologists, architects, artists and art historians. Keywords:Reviews:“In Jablan's book one finds more than one normally expects from the title … In a nutshell one finds, so to say, all: an algebraic and a geometric characterization, Euclidean and non-Euclidean geometry, discrete and continuous transformations, graphs and tiling, classification, presentation and notation.”Zentralblatt MATH

Author : Леонид Иванович Седов
Publisher : Unknown
Page : 398 pages
File Size : 44,7 Mb
Release : 1959
Category : Dimensional analysis
ISBN : MINN:319510009543355

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Similarity and Dimensional Methods in Mechanics by Леонид Иванович Седов Pdf

Author : George W. Bluman,Alexei F. Cheviakov,Stephen Anco
Publisher : Springer Science & Business Media
Page : 415 pages
File Size : 44,5 Mb
Release : 2009-10-30
Category : Mathematics
ISBN : 9780387680286

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Applications of Symmetry Methods to Partial Differential Equations by George W. Bluman,Alexei F. Cheviakov,Stephen Anco Pdf

This is an acessible book on the advanced symmetry methods for differential equations, including such subjects as conservation laws, Lie-Bäcklund symmetries, contact transformations, adjoint symmetries, Nöther's Theorem, mappings with some modification, potential symmetries, nonlocal symmetries, nonlocal mappings, and non-classical method. Of use to graduate students and researchers in mathematics and physics.

Author : George Bluman,Stephen Anco
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 46,6 Mb
Release : 2008-01-10
Category : Mathematics
ISBN : 9780387216492

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Symmetry and Integration Methods for Differential Equations by George Bluman,Stephen Anco Pdf

This text discusses Lie groups of transformations and basic symmetry methods for solving ordinary and partial differential equations. It places emphasis on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This new edition covers contact transformations, Lie-B cklund transformations, and adjoints and integrating factors for ODEs of arbitrary order.

Author : Angel Garrido
Publisher : MDPI
Page : 509 pages
File Size : 54,9 Mb
Release : 2018-07-09
Category : Electronic book
ISBN : 9783038424987

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Symmetry Measures on Complex Networks by Angel Garrido Pdf

This book is a printed edition of the Special Issue "Symmetry Measures on Complex Networks" that was published in Symmetry

Author : Giuseppe Bove,Akinori Okada,Donatella Vicari
Publisher : Springer Nature
Page : 203 pages
File Size : 40,8 Mb
Release : 2021-08-14
Category : Mathematics
ISBN : 9789811631726

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Methods for the Analysis of Asymmetric Proximity Data by Giuseppe Bove,Akinori Okada,Donatella Vicari Pdf

This book provides an accessible introduction and practical guidelines to apply asymmetric multidimensional scaling, cluster analysis, and related methods to asymmetric one-mode two-way and three-way asymmetric data. A major objective of this book is to present to applied researchers a set of methods and algorithms for graphical representation and clustering of asymmetric relationships. Data frequently concern measurements of asymmetric relationships between pairs of objects from a given set (e.g., subjects, variables, attributes,...), collected in one or more matrices. Examples abound in many different fields such as psychology, sociology, marketing research, and linguistics and more recently several applications have appeared in technological areas including cybernetics, air traffic control, robotics, and network analysis. The capabilities of the presented algorithms are illustrated by carefully chosen examples and supported by extensive data analyses. A review of the specialized statistical software available for the applications is also provided. This monograph is highly recommended to readers who need a complete and up-to-date reference on methods for asymmetric proximity data analysis.

Author : Anonim
Publisher : Unknown
Page : 633 pages
File Size : 50,8 Mb
Release : 1974
Category : Continuum mechanics
ISBN : OCLC:610950524

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Symmetry, Similarity and Group Theoretic Methods in Mechanics by Anonim Pdf

Author : Carl E. Baum,Haralambos N. Kritikos
Publisher : CRC Press
Page : 400 pages
File Size : 50,8 Mb
Release : 1995-05-01
Category : Mathematics
ISBN : 1560323213

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Electromagnetic Symmetry by Carl E. Baum,Haralambos N. Kritikos Pdf

This text is intended to help expand knowledge of electromagnetic theory. It integrates principles of quantum physics to electromagnetics with the aim of producing electromagnetic devices with more desirable performance features.

Author : Decio Levi,Pavel Winternitz,Ravil I. Yamilov
Publisher : American Mathematical Society, Centre de Recherches Mathématiques
Page : 520 pages
File Size : 53,5 Mb
Release : 2023-01-23
Category : Mathematics
ISBN : 9780821843543

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Continuous Symmetries and Integrability of Discrete Equations by Decio Levi,Pavel Winternitz,Ravil I. Yamilov Pdf

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.

Author : Michael L. Commons,Richard J. Herrnstein,Stephen M. Kosslyn,David B. Mumford
Publisher : Psychology Press
Page : 243 pages
File Size : 51,5 Mb
Release : 2019-01-22
Category : Psychology
ISBN : 9781317728184

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Behavioral Approaches to Pattern Recognition and Concept Formation by Michael L. Commons,Richard J. Herrnstein,Stephen M. Kosslyn,David B. Mumford Pdf

Volume eight in this highly acclaimed series discusses the behavioral approaches to pattern recognition and concept formation in two sections: categories and concepts in birds, and shape and form. An ideal reference for students and professionals in experimental psychology and behavioral analysis.