Similarity And Symmetry Methods

Author : Jean-François Ganghoffer
Publisher : Springer
ISBN 13 : 3319082965
Total Pages : 380 pages
Book Rating : 4.67/5 ( download)

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Download or read book Similarity and Symmetry Methods written by Jean-François Ganghoffer and published by Springer. This book was released on 2014-07-19 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Peter Ellsworth Hydon
Publisher : Cambridge University Press
ISBN 13 : 9780521497862
Total Pages : 230 pages
Book Rating : 4.68/5 ( download)

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Download or read book Symmetry Methods for Differential Equations written by Peter Ellsworth Hydon and published by Cambridge University Press. This book was released on 2000-01-28 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a straightforward introduction to the subject of symmetry methods for solving differential equations, and is aimed at applied mathematicians, physicists, and engineers. The presentation is informal, using many worked examples to illustrate the main symmetry methods. It is written at a level suitable for postgraduates and advanced undergraduates, and is designed to enable the reader to master the main techniques quickly and easily.The book contains some methods that have not previously appeared in a text. These include methods for obtaining discrete symmetries and integrating factors.

Author : L. I. Sedov
Publisher : CRC Press
ISBN 13 : 1351416561
Total Pages : 230 pages
Book Rating : 4.66/5 ( download)

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Download or read book Similarity and Dimensional Methods in Mechanics written by L. I. Sedov and published by CRC Press. This book was released on 2018-05-04 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher :
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.96/5 ( download)

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Download or read book Similarity Methods for Differential Equations written by George W. Bluman and published by . This book was released on 1974 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Raphael Gotthard Harald Arlitt
Publisher : Cuvillier Verlag
ISBN 13 : 3865373461
Total Pages : 221 pages
Book Rating : 4.65/5 ( download)

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Download or read book Analysis of Weakly Compressible Turbulence Using Symmetry Methods and Direct Numerical Simulation written by Raphael Gotthard Harald Arlitt and published by Cuvillier Verlag. This book was released on 2005 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Slavik Vlado Jablan
Publisher : World Scientific
ISBN 13 : 9814488062
Total Pages : 344 pages
Book Rating : 4.68/5 ( download)

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Download or read book Symmetry, Ornament and Modularity written by Slavik Vlado Jablan and published by World Scientific. This book was released on 2002-08-13 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : George W. Bluman
Publisher : Springer Science & Business Media
ISBN 13 : 0387680284
Total Pages : 415 pages
Book Rating : 4.86/5 ( download)

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Download or read book Applications of Symmetry Methods to Partial Differential Equations written by George W. Bluman and published by Springer Science & Business Media. This book was released on 2009-10-30 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : Springer Science & Business Media
ISBN 13 : 0387216499
Total Pages : 425 pages
Book Rating : 4.92/5 ( download)

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Download or read book Symmetry and Integration Methods for Differential Equations written by George Bluman and published by Springer Science & Business Media. This book was released on 2008-01-10 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Леонид Иванович Седов
Publisher :
ISBN 13 :
Total Pages : 394 pages
Book Rating : 4.16/5 ( download)

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Download or read book Similarity and Dimensional Methods in Mechanics written by Леонид Иванович Седов and published by . This book was released on 1959 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : George W. Bluman
Publisher : Springer Science & Business Media
ISBN 13 : 1475743076
Total Pages : 424 pages
Book Rating : 4.74/5 ( download)

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Download or read book Symmetries and Differential Equations written by George W. Bluman and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: A major portion of this book discusses work which has appeared since the publication of the book Similarity Methods for Differential Equations, Springer-Verlag, 1974, by the first author and J.D. Cole. The present book also includes a thorough and comprehensive treatment of Lie groups of tranformations and their various uses for solving ordinary and partial differential equations. No knowledge of group theory is assumed. Emphasis is placed on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This book should be particularly suitable for physicists, applied mathematicians, and engineers. Almost all of the examples are taken from physical and engineering problems including those concerned with heat conduction, wave propagation, and fluid flows. A preliminary version was used as lecture notes for a two-semester course taught by the first author at the University of British Columbia in 1987-88 to graduate and senior undergraduate students in applied mathematics and physics. Chapters 1 to 4 encompass basic material. More specialized topics are covered in Chapters 5 to 7.