Continuous Symmetries Lie Algebras Differential Equations And Computer Algebra

Author : W-H Steeb
Publisher : World Scientific Publishing Company
ISBN 13 : 9813105038
Total Pages : 372 pages
Book Rating : 4.34/5 ( download)

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Download or read book Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra written by W-H Steeb and published by World Scientific Publishing Company. This book was released on 1996-09-30 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive introduction to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. It is suitable for students and research workers whose main interest lies in finding solutions to differential equations. It therefore caters for readers primarily interested in applied mathematics and physics rather than pure mathematics. The book provides an application-orientated text that is reasonably self-contained. A large number of worked examples have been included to help readers working independently of a teacher. The advance of algebraic computation has made it possible to write programs for the tedious calculations in this research field, and thus the book also makes a survey of computer algebra packages.

Author : W.-H. Steeb
Publisher :
ISBN 13 : 9789812839787
Total Pages : pages
Book Rating : 4.8X/5 ( download)

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Download or read book Continuous Symmetries, Lie Algebras, Differential Equations, and Computer Algebra written by W.-H. Steeb and published by . This book was released on 1996 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Willi-hans Steeb
Publisher :
ISBN 13 : 9789812770127
Total Pages : 472 pages
Book Rating : 4.27/5 ( download)

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Download or read book Continuous Symmetries, Lie Algebras, Differential Equations And Computer Algebra (2nd Edition). written by Willi-hans Steeb and published by . This book was released on 2007 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : W.-H. Steeb
Publisher : World Scientific
ISBN 13 : 9789810228910
Total Pages : 380 pages
Book Rating : 4.10/5 ( download)

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Download or read book Continuous Symmetries, Lie Algebras, Differential Equations, and Computer Algebra written by W.-H. Steeb and published by World Scientific. This book was released on 1996 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive introduction to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. It is suitable for students and research workers whose main interest lies in finding solutions to differential equations. It therefore caters for readers primarily interested in applied mathematics and physics rather than pure mathematics.The book provides an application-orientated text that is reasonably self-contained. A large number of worked examples have been included to help readers working independently of a teacher. The advance of algebraic computation has made it possible to write programs for the tedious calculations in this research field, and thus the book also makes a survey of computer algebra packages.

Author : Willi-hans Steeb
Publisher : World Scientific Publishing Company
ISBN 13 : 9813107014
Total Pages : 472 pages
Book Rating : 4.14/5 ( download)

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Download or read book Continuous Symmetries, Lie Algebras, Differential Equations And Computer Algebra (2nd Edition) written by Willi-hans Steeb and published by World Scientific Publishing Company. This book was released on 2007-07-26 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook comprehensively introduces students and researchers to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. Covering all the modern techniques in detail, it relates applications to cutting-edge research fields such as Yang-Mills theory and string theory.Aimed at readers in applied mathematics and physics rather than pure mathematics, the material is ideally suited to students and researchers whose main interest lies in finding solutions to differential equations and invariants of maps.A large number of worked examples and challenging exercises help readers to work independently of teachers, and by including SymbolicC++ implementations of the techniques in each chapter, the book takes full advantage of the advancements in algebraic computation.Twelve new sections have been added in this edition, including: Haar measure, Sato's theory and sigma functions, universal algebra, anti-self dual Yang-Mills equation, and discrete Painlevé equations.

Author : Gerd Baumann
Publisher : Springer Science & Business Media
ISBN 13 : 1461221102
Total Pages : 532 pages
Book Rating : 4.04/5 ( download)

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Download or read book Symmetry Analysis of Differential Equations with Mathematica® written by Gerd Baumann and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to explicitly use Mathematica so as to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Previously time-consuming and cumbersome calculations are now much more easily and quickly performed using the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, will be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which allow users to directly interact with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool in regard to performing algebraic computations.

Author : Fritz Schwarz
Publisher : CRC Press
ISBN 13 : 9781584888901
Total Pages : 448 pages
Book Rating : 4.03/5 ( download)

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Download or read book Algorithmic Lie Theory for Solving Ordinary Differential Equations written by Fritz Schwarz and published by CRC Press. This book was released on 2007-10-02 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the fact that Sophus Lie's theory was virtually the only systematic method for solving nonlinear ordinary differential equations (ODEs), it was rarely used for practical problems because of the massive amount of calculations involved. But with the advent of computer algebra programs, it became possible to apply Lie theory to concrete proble

Author : Edited by: Kisak
Publisher : CreateSpace
ISBN 13 : 9781515055549
Total Pages : 250 pages
Book Rating : 4.4X/5 ( download)

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Download or read book Lie Group Mathematics written by Edited by: Kisak and published by CreateSpace. This book was released on 2015-07-12 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Lie groups are smooth differentiable manifolds and as such can be studied using differential calculus, in contrast with the case of more general topological groups. Lie groups represent the best-developed theory of continuous symmetry of mathematical objects and structures, which makes them indispensable tools for many parts of contemporary mathematics, as well as for modern theoretical physics. Lie groups provide a natural framework for analyzing the continuous symmetries of differential equations in much the same way as permutation groups are used in Galois theory for analyzing the discrete symmetries of algebraic equations. An extension of Galois theory to the case of continuous symmetry groups was one of Lie's principal motivations.

Author : Decio Levi
Publisher : American Mathematical Society, Centre de Recherches Mathématiques
ISBN 13 : 0821843540
Total Pages : 520 pages
Book Rating : 4.43/5 ( download)

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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.

Author : Norbert Euler
Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.30/5 ( download)

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Download or read book Continuous Symmetries, Lie Algebras and Differential Equations written by Norbert Euler and published by . This book was released on 1992 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: