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Books by Nailʹ Khaĭrullovich Ibragimov
  | | CRC Handbook of Lie Group Analysis of Differential Equations, Volume III(1st Edition) by Nail H. Ibragimov, Nailʹ Khaĭrullovich Ibragimov, R. L. Anderson, V. A. Baikov, R. K. Gazizov, W. Hereman, F. M. Mahomed, S. V. Meleshko, Peter J. Olver, M. C. Nucci, M. B. Sheftel, A. V. Turbiner, E. M. Vorob'ev Hardcover, 560 Pages, Published 1995 by Crc Press ISBN-13: 978-0-8493-9419-5, ISBN: 0-8493-9419-8 "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 computa ..." |
 | | Elementary Lie Group Analysis and Ordinary Differential Equations(1st Edition) by Nail H. Ibragimov, N. Kh Ibragimov, Nailʹ Khaĭrullovich Ibragimov, South Africa Hardcover, 366 Pages, Published 1999 by Wiley ISBN-13: 978-0-471-97430-7, ISBN: 0-471-97430-7 "Lie group analysis, based on symmetry and invariance principles, is the only systematic method for solving nonlinear differential equations analytically. One of Lie's striking achievements was the discovery that the majority of classical devices for integration of special types of ordinary differential equations could be explained and deduced by his theory. Moreover, this theory provides a universal tool for tackling considerable number ..." |
 | | Transformation Groups and Lie Algebras by Nail H. Ibragimov, Nailʹ Khaĭrullovich Ibragimov Hardcover, 196 Pages, Published 2013 by World Scientific Publishing Company ISBN-13: 978-981-4460-84-2, ISBN: 981-4460-84-2 "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 transf ..." |
 | | Applications of Lie Group Analysis In Geophysical Fluid Dynamics (Series on Complexity, Nonlinearity and Chaos) by Nail H. Ibragimov, Ranis N. Ibragimov, Nailʹ Khaĭrullovich Ibragimov Hardcover, 228 Pages, Published 2011 by World Scientific Publishing Company ISBN-13: 978-981-4340-46-5, ISBN: 981-4340-46-4 "This is the first monograph dealing with the applications of the Lie group analysis to the modeling equations governing internal wave propagation in the deep ocean. A new approach to describe the nonlinear interactions of internal waves in the ocean is presented. While the central idea of the book is to investigate oceanic internal waves through the prism of Lie group analysis, it is also shown for the first time that internal wave beam ..." |
 | | A Practical Course in Differential Equations and Mathematical Modelling Classical and New Methods, Nonlinear Mathematical Models, Symmetry and Invariance Principles by Nail H. Ibragimov, Nailʹ Khaĭrullovich Ibragimov 365 Pages, Published 2009 by World Scientific ISBN-13: 978-981-4291-95-8, ISBN: 981-4291-95-1 "These classical devices are simple and therefore commonly used in the practice of integration of special types of ordinary differential equations by means of ad hoc methods. Additional reading: E. Goursat [9\, G.F. Simmons [35], 3.1 Introduction and elementary methods 3.1.1 Differential equations. Initial value problem An nth-order ordinary differential equation (ODE) is a relation F{x,y,y'i...> yW) = Q (3.1.1) connecting the single ..." |
 | | Nonlinear Physical Science Ser. Approximate and Renormgroup Symmetries by Vladimir F. Kovalev, N. Kh. Ibragimov, Nailʹ Khaĭrullovich Ibragimov 147 Pages, Published 2009 by Springer Science & Business Media ISBN-13: 978-3-642-00228-1, ISBN: 3-642-00228-5 "N. Kh. Ibragimov, Vladimir F. Kovalev. the contributions responsible for the dilation transformations of the electric field E, charge ... Vol. 2: Applications in engineering and physical sciences. CRC Press Inc., Boca Raton, 1995. . N. H. Ibragimov, V. F. Kovalev, and V. V. Pustovalov. Symmetries of integro-differential equations: A survey of methods illustrated by the Benney equations. Nonlinear Dynamics, 28, No. 2:135-153, 2002. ..." |
 | | Approximate and Renormgroup Symmetries (Nonlinear Physical Science) by Vladimir F. Kovalev, Nailʹ Khaĭrullovich Ibragimov, Nail H. Ibragimov, Ibragimov Et. Al Hardcover, 147 Pages, Published 2009 by Springer ISBN-13: 978-3-642-00227-4, ISBN: 3-642-00227-7 ""Approximate and Renormgroup Symmetries" deals with approximate transformation groups, symmetries of integro-differential equations and renormgroup symmetries. It includes a concise and self-contained introduction to basic concepts and methods of Lie group analysis, and provides an easy-to-follow introduction to the theory of approximate transformation groups and symmetries of integro-differential equations. The book is designed for spe ..." |
 | | Practical Course in Differential Equations and Mathematical Modelling, A Classical and New Methods. Nonlinear Mathematical Models. Symmetry and Invariance Principles by Nail H. Ibragimov, Nailʹ Khaĭrullovich Ibragimov Hardcover, 348 Pages, Published 2010 by World Scientific Publishing Company ISBN-13: 978-981-4291-94-1, ISBN: 981-4291-94-3 "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 ..." |
 | | A Practical Course in Differential Equations and Mathematical Modelling Classical and New Methods, Nonlinear Mathematical Models, Symmetry and Invariance Principles by Nailʹ Khaĭrullovich Ibragimov 370 Pages, Published 2006 ISBN-13: 978-91-7295-988-0, ISBN: 91-7295-988-6 |
 | | Transformation Groups Applied to Mathematical Physics (Mathematics and its Applications) by Nail H. Ibragimov, Nailʹ Khaĭrullovich Ibragimov Hardcover, 394 Pages, Published 1984 by Springer ISBN-13: 978-90-277-1847-1, ISBN: 90-277-1847-4 "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 ..." |
 | | Lectures on the Theory of Group Properties of Differential Equations by L. V. Ovsyannikov, L. V. Ovsyannikov;N. H. Ibragimov, Nailʹ Khaĭrullovich Ibragimov 141 Pages ISBN-13: 978-7-89423-631-9, ISBN: 7-89423-631-4 "For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models. Readers." |
 | | Tensors and Riemannian Geometry(1st Edition) With Applications to Differential Equations (De Gruyter Textbook) by Nail H. Ibragimov, Higher Education Press Paperback, 187 Pages, Published 2015 by De Gruyter ISBN-13: 978-3-11-037949-5, ISBN: 3-11-037949-X "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 su ..." |