Nail H Ibragimov's Books

Tensors and Riemannian Geometry

With Applications to Differential Equations

By: Nail H. Ibragimov

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Tensors and Riemannian Geometry

With Applications to Differential Equations

By: Nail H. Ibragimov

This book is based on the experience of teaching the subject by the author in Russia, France, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics on tensors, Riemannian geometry and geometric approach to partial differential equations. Application of approximate transformation groups to the equations of general relativity in the de Sitter space simplifies the subject significantly.

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Page Count

198

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110379503

ISBN 13

9783110379501

CRC Handbook of Lie Group Analysis of Differential Equations

Symmetries, Exact Solutions, and Conservation Laws

By: Nail H. Ibragimov

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CRC Handbook of Lie Group Analysis of Differential Equations

Symmetries, Exact Solutions, and Conservation Laws

By: Nail H. Ibragimov

Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to the modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.

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Page Count

452

Publisher

CRC Press

Published Date

ISBN 10

0849344883

ISBN 13

9780849344886

CRC Handbook of Lie Group Analysis of Differential Equations, Volume III

By: Nail H. Ibragimov

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CRC Handbook of Lie Group Analysis of Differential Equations, Volume III

By: Nail H. Ibragimov

Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.

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Page Count

554

Publisher

CRC Press

Published Date

ISBN 10

1040294103

ISBN 13

9781040294109

A Practical Course in Differential Equations and Mathematical Modelling

Classical and New Methods, Nonlinear Mathematical Models, Symmetry and Invariance Principles

By: Nail H. Ibragimov,Nail? Kha?rullovich Ibragimov

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A Practical Course in Differential Equations and Mathematical Modelling

Classical and New Methods, Nonlinear Mathematical Models, Symmetry and Invariance Principles

By: Nail H. Ibragimov,Nail? Kha?rullovich Ibragimov

A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author?s own theoretical developments. The book ? which aims to present new mathematical curricula based on symmetry and invariance principles ? is tailored to develop analytic skills and ?working knowledge? in both classical and Lie?s methods for solving linear and nonlinear equations. This approach helps to make courses in differential equations, mathematical modelling, distributions and fundamental solution, etc. easy to follow and interesting for students. The book is based on the author?s extensive teaching experience at Novosibirsk and Moscow universities in Russia, Collge de France, Georgia Tech and Stanford University in the United States, universities in South Africa, Cyprus, Turkey, and Blekinge Institute of Technology (BTH) in Sweden. The new curriculum prepares students for solving modern nonlinear problems and will essentially be more appealing to students compared to the traditional way of teaching mathematics.

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Page Count

365

Publisher

World Scientific

Published Date

ISBN 10

9814291951

ISBN 13

9789814291958

CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

Symmetries, Exact Solutions, and Conservation Laws

By: Nail H. Ibragimov

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CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

Symmetries, Exact Solutions, and Conservation Laws

By: Nail H. Ibragimov

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Page Count

444

Publisher

CRC Press

Published Date

ISBN 10

1000941426

ISBN 13

9781000941425

Transformation Groups Applied to Mathematical Physics

By: Nail H. Ibragimov

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Transformation Groups Applied to Mathematical Physics

By: Nail H. Ibragimov

Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then It is that they can't see the problem. one day, perhaps you will find the final question. G.K. Chesterton. The Scandal of Father Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R.van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in - gional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in pack ing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

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Page Count

424

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9027718474

ISBN 13

9789027718471

Transformation Groups And Lie Algebras

By: Nail H Ibragimov

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Transformation Groups And Lie Algebras

By: Nail H Ibragimov

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.

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Page Count

197

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9814460869

ISBN 13

9789814460866

Lie-Backlund Transformations in Applications

By: Robert L. Anderson,Nail H. Ibragimov

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Lie-Backlund Transformations in Applications

By: Robert L. Anderson,Nail H. Ibragimov

This title presents an introduction to the classical treatment of Backlund and general surface transformations; and includes detailed and accessible techniques for constructing both groups of tranformations which will be of great value to the scientist and engineer in the analysis of mathematical models of physical phenomena. Classical and recent examples of Backlund transformations as applied to geometry, nonlinear optics, turbulence models, nonlinear waves and quantum mechanics are given. The authors discuss applications of Lie-Backlund transformations in mechanics, quantum mechanics, gas dynamics, hydrodynamics, and relativity.

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Page Count

131

Publisher

SIAM

Published Date

ISBN 10

0898711517

ISBN 13

9780898711516

Tensors and Riemannian Geometry

With Applications to Differential Equations

By: Nail H. Ibragimov

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Tensors and Riemannian Geometry

With Applications to Differential Equations

By: Nail H. Ibragimov

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Page Count

238

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110379643

ISBN 13

9783110379648

Practical Course In Differential Equations And Mathematical Modelling, A: Classical And New Methods. Nonlinear Mathematical Models. Symmetry And Invariance Principles

By: Nail H Ibragimov

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Practical Course In Differential Equations And Mathematical Modelling, A: Classical And New Methods. Nonlinear Mathematical Models. Symmetry And Invariance Principles

By: Nail H Ibragimov

A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author's own theoretical developments. The book — which aims to present new mathematical curricula based on symmetry and invariance principles — is tailored to develop analytic skills and “working knowledge” in both classical and Lie's methods for solving linear and nonlinear equations. This approach helps to make courses in differential equations, mathematical modelling, distributions and fundamental solution, etc. easy to follow and interesting for students. The book is based on the author's extensive teaching experience at Novosibirsk and Moscow universities in Russia, Collège de France, Georgia Tech and Stanford University in the United States, universities in South Africa, Cyprus, Turkey, and Blekinge Institute of Technology (BTH) in Sweden. The new curriculum prepares students for solving modern nonlinear problems and will essentially be more appealing to students compared to the traditional way of teaching mathematics.

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Page Count

365

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813107766

ISBN 13

9789813107762

Transformation Groups Applied to Mathematical Physics

By: Nail H. Ibragimov

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Transformation Groups Applied to Mathematical Physics

By: Nail H. Ibragimov

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Page Count

422

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1402003390

ISBN 13

9781402003394

Transformation Groups And Lie Algebras

By: Nail H Ibragimov

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Transformation Groups And Lie Algebras

By: Nail H Ibragimov

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Page Count

197

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9814460869

ISBN 13

9789814460866

CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

Symmetries, Exact Solutions, and Conservation Laws

By: Nail H. Ibragimov

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CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

Symmetries, Exact Solutions, and Conservation Laws

By: Nail H. Ibragimov

Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-B�lund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to the modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.

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Page Count

429

Publisher

CRC Press

Published Date

ISBN 10

1138401986

ISBN 13

9781138401983

CRC Handbook of Lie Group Analysis of Differential Equations, Volume III

By: Nail H. Ibragimov

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CRC Handbook of Lie Group Analysis of Differential Equations, Volume III

By: Nail H. Ibragimov

Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.

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Solve jigsaw puzzle

Age

Page Count

554

Publisher

CRC Press

Published Date

ISBN 10

1040294103

ISBN 13

9781040294109

Book's by Nail H Ibragimov

Tensors and Riemannian Geometry

Tensors and Riemannian Geometry

CRC Handbook of Lie Group Analysis of Differential Equations

CRC Handbook of Lie Group Analysis of Differential Equations

CRC Handbook of Lie Group Analysis of Differential Equations, Volume III

CRC Handbook of Lie Group Analysis of Differential Equations, Volume III

A Practical Course in Differential Equations and Mathematical Modelling

A Practical Course in Differential Equations and Mathematical Modelling

CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

Transformation Groups Applied to Mathematical Physics

Transformation Groups Applied to Mathematical Physics

Transformation Groups And Lie Algebras

Transformation Groups And Lie Algebras

Lie-Backlund Transformations in Applications

Lie-Backlund Transformations in Applications

Tensors and Riemannian Geometry

Tensors and Riemannian Geometry

Practical Course In Differential Equations And Mathematical Modelling, A: Classical And New Methods. Nonlinear Mathematical Models. Symmetry And Invariance Principles

Practical Course In Differential Equations And Mathematical Modelling, A: Classical And New Methods. Nonlinear Mathematical Models. Symmetry And Invariance Principles

Transformation Groups Applied to Mathematical Physics

Transformation Groups Applied to Mathematical Physics

Transformation Groups And Lie Algebras

Transformation Groups And Lie Algebras

CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

CRC Handbook of Lie Group Analysis of Differential Equations, Volume III

CRC Handbook of Lie Group Analysis of Differential Equations, Volume III

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