Continuous Symmetries Lie Algebras Differential Equations And Computer Algebra eBook Download PDF

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Continuous Symmetries, Lie Algebras, Differential Equations, and Computer Algebra

Author: W.-H. Steeb

Publisher: World Scientific

Published: 1996

Total Pages: 380

ISBN-13: 9789810228910

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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.

Book Synopsis Continuous Symmetries, Lie Algebras, Differential Equations, and Computer Algebra by : W.-H. Steeb

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.

Continuous Symmetries, Lie Algebras, Differential Equations And Computer Algebra (2nd Edition)

Author: Willi-hans Steeb

Publisher: World Scientific Publishing Company

Published: 2007-07-26

Total Pages: 472

ISBN-13: 9813107014

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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.

Book Synopsis Continuous Symmetries, Lie Algebras, Differential Equations And Computer Algebra (2nd Edition) by : Willi-hans Steeb

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.

Continuous Symmetries, Lie Algebras, Differential Equations, and Computer Algebra

Author: W.-H. Steeb

Publisher:

Published: 1996

Total Pages:

ISBN-13: 9789812839787

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Book Synopsis Continuous Symmetries, Lie Algebras, Differential Equations, and Computer Algebra by : W.-H. Steeb

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:

Continuous Symmetries, Lie Algebras, Differential Equations And Computer Algebra (2nd Edition).

Author: Willi-hans Steeb

Publisher:

Published: 2007

Total Pages: 472

ISBN-13: 9789812770127

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Book Synopsis Continuous Symmetries, Lie Algebras, Differential Equations And Computer Algebra (2nd Edition). by : Willi-hans Steeb

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:

Transformation Groups And Lie Algebras

Author: Nail H Ibragimov

Publisher: World Scientific Publishing Company

Published: 2013-05-20

Total Pages: 197

ISBN-13: 9814460869

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This book is based on the extensive experience of teaching for mathematics, physics and engineering students in Russia, USA, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics. The methods of local Lie groups discussed in the book provide universal and effective method for solving nonlinear differential equations analytically. Introduction to approximate transformation groups also contained in the book helps to develop skills in constructing approximate solutions for differential equations with a small parameter.

Book Synopsis Transformation Groups And Lie Algebras by : Nail H Ibragimov

Download or read book Transformation Groups And Lie Algebras written by Nail H Ibragimov and published by World Scientific Publishing Company. This book was released on 2013-05-20 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the extensive experience of teaching for mathematics, physics and engineering students in Russia, USA, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics. The methods of local Lie groups discussed in the book provide universal and effective method for solving nonlinear differential equations analytically. Introduction to approximate transformation groups also contained in the book helps to develop skills in constructing approximate solutions for differential equations with a small parameter.

Continuous Symmetries and Integrability of Discrete Equations

Author: Decio Levi

Publisher: American Mathematical Society, Centre de Recherches Mathématiques

Published: 2023-01-23

Total Pages: 520

ISBN-13: 0821843540

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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 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.

Continuous Symmetries, Lie Algebras and Differential Equations

Author: Norbert Euler

Publisher:

Published: 1992

Total Pages: 340

ISBN-13:

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Book Synopsis Continuous Symmetries, Lie Algebras and Differential Equations by : Norbert Euler

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:

Symmetry Methods for Differential Equations

Author: Peter Ellsworth Hydon

Publisher: Cambridge University Press

Published: 2000-01-28

Total Pages: 230

ISBN-13: 9780521497862

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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.

Book Synopsis Symmetry Methods for Differential Equations by : Peter Ellsworth Hydon

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.

Mechanisms

Author: Jaime Gallardo-Alvarado

Publisher: Academic Press

Published: 2022-06-18

Total Pages: 532

ISBN-13: 0323953476

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Theory of mechanisms is an applied science of mechanics that studies the relationship between geometry, mobility, topology, and relative motion between rigid bodies connected by geometric forms. Recently, knowledge in kinematics and mechanisms has considerably increased, causing a renovation in the methods of kinematic analysis. With the progress of the algebras of kinematics and the mathematical methods used in the optimal solution of polynomial equations, it has become possible to formulate and elegantly solve problems. Mechanisms: Kinematic Analysis and Applications in Robotics provides an updated approach to kinematic analysis methods and a review of the mobility criteria most used in planar and spatial mechanisms. Applications in the kinematic analysis of robot manipulators complement the material presented in the book, growing in importance when one recognizes that kinematics is a basic area in the control and modeling of robot manipulators. Presents an organized review of general mathematical methods and classical concepts of the theory of mechanisms Introduces methods approaching time derivatives of arbitrary vectors employing general approaches based on the vector angular velocity concept introduced by Kane and Levinson Proposes a strategic approach not only in acceleration analysis but also to jerk analysis in an easy to understand and systematic way Explains kinematic analysis of serial and parallel manipulators by means of the theory of screws

Book Synopsis Mechanisms by : Jaime Gallardo-Alvarado

Download or read book Mechanisms written by Jaime Gallardo-Alvarado and published by Academic Press. This book was released on 2022-06-18 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of mechanisms is an applied science of mechanics that studies the relationship between geometry, mobility, topology, and relative motion between rigid bodies connected by geometric forms. Recently, knowledge in kinematics and mechanisms has considerably increased, causing a renovation in the methods of kinematic analysis. With the progress of the algebras of kinematics and the mathematical methods used in the optimal solution of polynomial equations, it has become possible to formulate and elegantly solve problems. Mechanisms: Kinematic Analysis and Applications in Robotics provides an updated approach to kinematic analysis methods and a review of the mobility criteria most used in planar and spatial mechanisms. Applications in the kinematic analysis of robot manipulators complement the material presented in the book, growing in importance when one recognizes that kinematics is a basic area in the control and modeling of robot manipulators. Presents an organized review of general mathematical methods and classical concepts of the theory of mechanisms Introduces methods approaching time derivatives of arbitrary vectors employing general approaches based on the vector angular velocity concept introduced by Kane and Levinson Proposes a strategic approach not only in acceleration analysis but also to jerk analysis in an easy to understand and systematic way Explains kinematic analysis of serial and parallel manipulators by means of the theory of screws

Theoretical and Mathematical Physics

Author: Steeb Willi-hans

Publisher: World Scientific

Published: 2018-08-23

Total Pages: 736

ISBN-13: 9813275391

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This updated and extended edition of the book combines the topics provided in the two parts of the previous editions as well as new topics. It is a comprehensive compilation covering most areas in mathematical and theoretical physics. The book provides a collection of problems together with their detailed solutions which will prove to be valuable to students as well as to researchers in the fields of mathematics, physics, engineering and other sciences. Each chapter provides a short introduction with the relevant definitions and notations. All relevant definitions are given. The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained. Stimulating supplementary problems are also provided in each chapter. Students can learn important principles and strategies required for problem solving. Teachers will also find this text useful as a supplement, since important concepts and techniques are developed in the problems. Introductory problems for both undergraduate and advanced undergraduate students are provided. More advanced problems together with their detailed solutions are collected, to meet the needs of graduate students and researchers. Problems included cover new fields in theoretical and mathematical physics such as tensor product, Lax representation, Bäcklund transformation, soliton equations, Hilbert space theory, uncertainty relation, entanglement, spin systems, Lie groups, Bose system, Fermi systems differential forms, Lie algebra valued differential forms, metric tensor fields, Hirota technique, Painlevé test, Bethe ansatz, Yang-Baxter relation, wavelets, gauge theory, differential geometry, string theory, chaos, fractals, complexity, ergodic theory, etc. A number of software implementations are also provided.

Book Synopsis Theoretical and Mathematical Physics by : Steeb Willi-hans

Download or read book Theoretical and Mathematical Physics written by Steeb Willi-hans and published by World Scientific. This book was released on 2018-08-23 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated and extended edition of the book combines the topics provided in the two parts of the previous editions as well as new topics. It is a comprehensive compilation covering most areas in mathematical and theoretical physics. The book provides a collection of problems together with their detailed solutions which will prove to be valuable to students as well as to researchers in the fields of mathematics, physics, engineering and other sciences. Each chapter provides a short introduction with the relevant definitions and notations. All relevant definitions are given. The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained. Stimulating supplementary problems are also provided in each chapter. Students can learn important principles and strategies required for problem solving. Teachers will also find this text useful as a supplement, since important concepts and techniques are developed in the problems. Introductory problems for both undergraduate and advanced undergraduate students are provided. More advanced problems together with their detailed solutions are collected, to meet the needs of graduate students and researchers. Problems included cover new fields in theoretical and mathematical physics such as tensor product, Lax representation, Bäcklund transformation, soliton equations, Hilbert space theory, uncertainty relation, entanglement, spin systems, Lie groups, Bose system, Fermi systems differential forms, Lie algebra valued differential forms, metric tensor fields, Hirota technique, Painlevé test, Bethe ansatz, Yang-Baxter relation, wavelets, gauge theory, differential geometry, string theory, chaos, fractals, complexity, ergodic theory, etc. A number of software implementations are also provided.