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Advanced Course On Partial Differential Equations And Group Theory


Advanced Course On Partial Differential Equations And Group Theory
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Advanced Course On Partial Differential Equations And Group Theory


Advanced Course On Partial Differential Equations And Group Theory
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Author : Advanced Course on Partial Differential Equations and Group Theory (1992, Bonn)
language : en
Publisher:
Release Date : 1992

Advanced Course On Partial Differential Equations And Group Theory written by Advanced Course on Partial Differential Equations and Group Theory (1992, Bonn) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.




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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Author : Nail H. Ibragimov
language : en
Publisher: CRC Press
Release Date : 2024-11-01

Crc Handbook Of Lie Group Analysis Of Differential Equations Volume Iii written by Nail H. Ibragimov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-01 with Mathematics categories.


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.



Crc Handbook Of Lie Group Analysis Of Differential Equations


Crc Handbook Of Lie Group Analysis Of Differential Equations
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Author : Nail H. Ibragimov
language : en
Publisher: CRC Press
Release Date : 1995-10-24

Crc Handbook Of Lie Group Analysis Of Differential Equations written by Nail H. Ibragimov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-10-24 with Mathematics categories.


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.



Partial Differential Equations And Applications


Partial Differential Equations And Applications
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Author : Hong-Ming Yin
language : en
Publisher: Elsevier
Release Date : 2023-06-28

Partial Differential Equations And Applications written by Hong-Ming Yin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-28 with Mathematics categories.


Partial Differential Equations and Applications: A Bridge for Students and Researchers in Applied Sciences offers a unique approach to this key subject by connecting mathematical principles to the latest research advances in select topics. Beginning with very elementary PDEs, such as classical heat equations, wave equations and Laplace equations, the book focuses on concrete examples. It gives students basic skills and techniques to find explicit solutions for partial differential equations. As it progresses, the book covers more advanced topics such as the maximum principle and applications, Green's representation, Schauder's theory, finite-time blowup, and shock waves. By exploring these topics, students gain the necessary tools to deal with research topics in their own fields, whether proceeding in math or engineering areas. - Class tested over multiple years with advanced undergraduate and graduate courses - Features many concrete examples and chapter exercises - Appropriate for advanced undergraduate and graduate courses geared to math and engineering students - Requires minimal background beyond advanced calculus and differential equations



Applications Of Symmetry Methods To Partial Differential Equations


Applications Of Symmetry Methods To Partial Differential Equations
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Author : George W. Bluman
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-30

Applications Of Symmetry Methods To Partial Differential Equations written by George W. Bluman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-30 with Mathematics categories.


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.



Geometric And Algebraic Structures In Differential Equations


Geometric And Algebraic Structures In Differential Equations
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Author : P.H. Kersten
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Geometric And Algebraic Structures In Differential Equations written by P.H. Kersten and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The geometrical theory of nonlinear differential equations originates from classical works by S. Lie and A. Bäcklund. It obtained a new impulse in the sixties when the complete integrability of the Korteweg-de Vries equation was found and it became clear that some basic and quite general geometrical and algebraic structures govern this property of integrability. Nowadays the geometrical and algebraic approach to partial differential equations constitutes a special branch of modern mathematics. In 1993, a workshop on algebra and geometry of differential equations took place at the University of Twente (The Netherlands), where the state-of-the-art of the main problems was fixed. This book contains a collection of invited lectures presented at this workshop. The material presented is of interest to those who work in pure and applied mathematics and especially in mathematical physics.



University Of Michigan Official Publication


University Of Michigan Official Publication
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Author :
language : en
Publisher: UM Libraries
Release Date : 1938

University Of Michigan Official Publication written by and has been published by UM Libraries this book supported file pdf, txt, epub, kindle and other format this book has been release on 1938 with Education, Higher categories.




Register Of The University Of California


Register Of The University Of California
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Author : University of California, Berkeley
language : en
Publisher:
Release Date : 1924

Register Of The University Of California written by University of California, Berkeley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1924 with Universities and colleges categories.




Advanced Linear Algebra


Advanced Linear Algebra
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Author : Steven Roman
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-09-20

Advanced Linear Algebra written by Steven Roman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-20 with Mathematics categories.


For the third edition, the author has added a new chapter on associative algebras that includes the well known characterizations of the finite-dimensional division algebras over the real field (a theorem of Frobenius) and over a finite field (Wedderburn's theorem); polished and refined some arguments (such as the discussion of reflexivity, the rational canonical form, best approximations and the definitions of tensor products); upgraded some proofs that were originally done only for finite-dimensional/rank cases; added new theorems, including the spectral mapping theorem; corrected all known errors; the reference section has been enlarged considerably, with over a hundred references to books on linear algebra. From the reviews of the second edition: “In this 2nd edition, the author has rewritten the entire book and has added more than 100 pages of new materials. ... As in the previous edition, the text is well written and gives a thorough discussion of many topics of linear algebra and related fields. ... the exercises are rewritten and expanded. ... Overall, I found the book a very useful one. ... It is a suitable choice as a graduate text or as a reference book.” Ali-Akbar Jafarian, ZentralblattMATH “This is a formidable volume, a compendium of linear algebra theory, classical and modern ... . The development of the subject is elegant ... . The proofs are neat ... . The exercise sets are good, with occasional hints given for the solution of trickier problems. ... It represents linear algebra and does so comprehensively.” Henry Ricardo, MathDL



A Course In Advanced Calculus


A Course In Advanced Calculus
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Author : Robert S. Borden
language : en
Publisher: Courier Corporation
Release Date : 1998-01-01

A Course In Advanced Calculus written by Robert S. Borden and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Mathematics categories.


An excellent undergraduate text examines sets and structures, limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, more. Problems with tips and solutions for some.