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Author : Olle Stormark
Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.:/5 (245 download)
Download or read book Lie's Structural Approach to PDE Systems written by Olle Stormark and published by . This book was released on 1998 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Olle Stormark
Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.:/5 (245 download)
Download or read book Lie's Structural Approach to PDE Systems written by Olle Stormark and published by . This book was released on 1998 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Olle Stormark
Publisher :
ISBN 13 :
Total Pages : 225 pages
Book Rating : 4.:/5 (245 download)
Download or read book Lie's Structural Approach to PDE Systems written by Olle Stormark and published by . This book was released on 1998 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Olle Stormark
Publisher : Cambridge University Press
ISBN 13 : 9780521780889
Total Pages : 604 pages
Book Rating : 4.7/5 (88 download)
Download or read book Lie's Structural Approach to PDE Systems written by Olle Stormark and published by Cambridge University Press. This book was released on 2000-06-15 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a lucid and comprehensive introduction to the differential geometric study of partial differential equations (PDE). The first book to present substantial results on local solvability of general and nonlinear PDE systems without using power series techniques, it describes a general approach to PDE systems based on ideas developed by Lie, Cartan and Vessiot. The central theme is the exploitation of singular vector field systems and their first integrals. These considerations naturally lead to local Lie groups, Lie pseudogroups and the equivalence problem, all of which are covered in detail. This book will be a valuable resource for graduate students and researchers in partial differential equations, Lie groups and related fields.
Author : Michael Eastwood
Publisher : Springer Science & Business Media
ISBN 13 : 0387738312
Total Pages : 565 pages
Book Rating : 4.3/5 (877 download)
Download or read book Symmetries and Overdetermined Systems of Partial Differential Equations written by Michael Eastwood and published by Springer Science & Business Media. This book was released on 2009-04-23 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-week summer program considered the symmetries preserving various natural geometric structures. There are two parts to the proceedings. The articles in the first part are expository but all contain significant new material. The articles in the second part are concerned with original research. All articles were thoroughly refereed and the range of interrelated work ensures that this will be an extremely useful collection.
Author : David Blázquez-Sanz
Publisher : American Mathematical Soc.
ISBN 13 : 0821868721
Total Pages : 178 pages
Book Rating : 4.8/5 (218 download)
Download or read book Symmetries and Related Topics in Differential and Difference Equations written by David Blázquez-Sanz and published by American Mathematical Soc.. This book was released on 2011 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers collected here discuss topics such as Lie symmetries, equivalence transformations and differential invariants, group theoretical methods in linear equations, and the development of some geometrical methods in theoretical physics. The reader will find new results in symmetries of differential and difference equations, applications in classical and quantum mechanics, two fundamental problems of theoretical mechanics, and the mathematical nature of time in Lagrangian mechanics.
Author : Boris Kruglikov
Publisher : Springer Science & Business Media
ISBN 13 : 3642008739
Total Pages : 394 pages
Book Rating : 4.6/5 (42 download)
Download or read book Differential Equations - Geometry, Symmetries and Integrability written by Boris Kruglikov and published by Springer Science & Business Media. This book was released on 2009-07-24 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Abel Symposium 2008 focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. Following the tradition of Monge, Abel and Lie, the scientific program emphasized the role of algebro-geometric methods, which nowadays permeate all mathematical models in natural and engineering sciences. The ideas of invariance and symmetry are of fundamental importance in the geometric approach to differential equations, with a serious impact coming from the area of integrable systems and field theories. This volume consists of original contributions and broad overview lectures of the participants of the Symposium. The papers in this volume present the modern approach to this classical subject.
Author : Giuseppe Gaeta
Publisher : World Scientific
ISBN 13 : 9814472476
Total Pages : 311 pages
Book Rating : 4.8/5 (144 download)
Download or read book Symmetry And Perturbation Theory - Proceedings Of The International Conference On Spt2007 written by Giuseppe Gaeta and published by World Scientific. This book was released on 2007-11-12 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume is devoted to the interplay of symmetry and perturbation theory, as well as to cognate fields such as integrable systems, normal forms, n-body dynamics and choreographies, geometry and symmetry of differential equations, and finite and infinite dimensional dynamical systems. The papers collected here provide an up-to-date overview of the research in the field, and have many leading scientists in the field among their authors, including: D Alekseevsky, S Benenti, H Broer, A Degasperis, M E Fels, T Gramchev, H Hanssmann, J Krashil'shchik, B Kruglikov, D Krupka, O Krupkova, S Lombardo, P Morando, O Morozov, N N Nekhoroshev, F Oliveri, P J Olver, J A Sanders, M A Teixeira, S Terracini, F Verhulst, P Winternitz, B Zhilinskii.
Author : Giuseppe Gaeta
Publisher : World Scientific
ISBN 13 : 9812776176
Total Pages : 311 pages
Book Rating : 4.8/5 (127 download)
Download or read book Symmetry and Perturbation Theory written by Giuseppe Gaeta and published by World Scientific. This book was released on 2008 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume is devoted to the interplay of symmetry and perturbation theory, as well as to cognate fields such as integrable systems, normal forms, n-body dynamics and choreographies, geometry and symmetry of differential equations, and finite and infinite dimensional dynamical systems. The papers collected here provide an up-to-date overview of the research in the field, and have many leading scientists in the field among their authors, including: D Alekseevsky, S Benenti, H Broer, A Degasperis, M E Fels, T Gramchev, H Hanssmann, J Krashil''shchik, B Kruglikov, D Krupka, O Krupkova, S Lombardo, P Morando, O Morozov, N N Nekhoroshev, F Oliveri, P J Olver, J A Sanders, M A Teixeira, S Terracini, F Verhulst, P Winternitz, B Zhilinskii. Sample Chapter(s). Foreword (101 KB). Chapter 1: Homogeneous Bi-Lagrangian Manifolds and Invariant Monge-Ampere Equations (415 KB). Contents: On Darboux Integrability (I M Anderson et al.); Computing Curvature without Christoffel Symbols (S Benenti); Natural Variational Principles (D Krupka); Fuzzy Fractional Monodromy (N N Nekhoroshev); Emergence of Slow Manifolds in Nonlinear Wave Equations (F Verhulst); Complete Symmetry Groups and Lie Remarkability (K Andriopoulos); Geodesically Equivalent Flat Bi-Cofactor Systems (K Marciniak); On the Dihedral N-Body Problem (A Portaluri); Towards Global Classifications: A Diophantine Approach (P van der Kamp); and other papers. Readership: Researchers and students (graduate/advanced undergraduates) in mathematics, applied mathematics, physics and nonlinear science.
Author : S. Peszat
Publisher : Cambridge University Press
ISBN 13 : 0521879892
Total Pages : 45 pages
Book Rating : 4.5/5 (218 download)
Download or read book Stochastic Partial Differential Equations with Lévy Noise written by S. Peszat and published by Cambridge University Press. This book was released on 2007-10-11 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive monograph by two leading international experts; includes applications to statistical and fluid mechanics and to finance.
Author : Thomas A. Ivey
Publisher : American Mathematical Soc.
ISBN 13 : 1470409860
Total Pages : 474 pages
Book Rating : 4.4/5 (74 download)
Download or read book Cartan for Beginners written by Thomas A. Ivey and published by American Mathematical Soc.. This book was released on 2016-12-15 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two central aspects of Cartan's approach to differential geometry are the theory of exterior differential systems (EDS) and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to both classic and contemporary problems in geometry. It begins with the classical differential geometry of surfaces and basic Riemannian geometry in the language of moving frames, along with an elementary introduction to exterior differential systems. Key concepts are developed incrementally, with motivating examples leading to definitions, theorems, and proofs. Once the basics of the methods are established, the authors develop applications and advanced topics. One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry. As well, the book features an introduction to G-structures and a treatment of the theory of connections. The techniques of EDS are also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence. This text is suitable for a one-year graduate course in differential geometry, and parts of it can be used for a one-semester course. It has numerous exercises and examples throughout. It will also be useful to experts in areas such as geometry of PDE systems and complex algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields. The second edition features three new chapters: on Riemannian geometry, emphasizing the use of representation theory; on the latest developments in the study of Darboux-integrable systems; and on conformal geometry, written in a manner to introduce readers to the related parabolic geometry perspective.
Author : Erik P. van den Ban
Publisher : Springer Science & Business Media
ISBN 13 : 0817682449
Total Pages : 401 pages
Book Rating : 4.8/5 (176 download)
Download or read book Geometric Aspects of Analysis and Mechanics written by Erik P. van den Ban and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields. Written in his honor, the invited and refereed articles in this volume contain important new results as well as surveys in some of these areas, clearly demonstrating the impact of Duistermaat's research and, in addition, exhibiting interrelationships among many of the topics.
Author : Teo Mora
Publisher : Cambridge University Press
ISBN 13 : 9780521811569
Total Pages : 792 pages
Book Rating : 4.8/5 (115 download)
Download or read book Solving Polynomial Equation Systems II written by Teo Mora and published by Cambridge University Press. This book was released on 2003 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on Buchberger theory and its application to the algorithmic view of commutative algebra. The presentation is based on the intrinsic linear algebra structure of Groebner bases, and thus elementary considerations lead easily to the state-of-the-art in its algorithmization.
Author : Olle Stormark
Publisher : 清华大学出版社有限公司
ISBN 13 : 9787302090878
Total Pages : 592 pages
Book Rating : 4.0/5 (98 download)
Download or read book 偏微分方程组中的李结构法(天元基金影印系列丛书) written by Olle Stormark and published by 清华大学出版社有限公司. This book was released on 2004 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Niky Kamran
Publisher : American Mathematical Soc.
ISBN 13 : 9780821889404
Total Pages : 138 pages
Book Rating : 4.8/5 (894 download)
Download or read book Selected Topics in the Geometrical Study of Differential Equations written by Niky Kamran and published by American Mathematical Soc.. This book was released on 2002-01-01 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Salzmann
Publisher : Cambridge University Press
ISBN 13 : 0521865166
Total Pages : 418 pages
Book Rating : 4.5/5 (218 download)
Download or read book The Classical Fields written by H. Salzmann and published by Cambridge University Press. This book was released on 2007-08-23 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The real, rational, complex and p-adic numbers are discussed in detail in this comprehensive work.
Author : Ursula Carow-watamura
Publisher : World Scientific
ISBN 13 : 981447620X
Total Pages : 333 pages
Book Rating : 4.8/5 (144 download)
Download or read book Noncommutative Geometry And Physics 2005 - Proceedings Of The International Sendai-beijing Joint Workshop written by Ursula Carow-watamura and published by World Scientific. This book was released on 2007-08-31 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncommutative geometry is a novel approach which is opening up new possibilities for geometry from a mathematical viewpoint. It is also providing new tools for the investigation of quantum space-time in physics. Recent developments in string theory have supported the idea of quantum spaces, and have strongly stimulated the research in this field. This self-contained volume contains survey lectures and research articles which address these issues and related topics. The book is accessible to both researchers and graduate students beginning to study this subject.
