Systems Of Linear Partial Differential Equations And Deformation Of Pseudogroup Structures

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Systems of Linear Partial Differential Equations and Deformation of Pseudogroup Structures

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Author : Antonio Kumpera
Publisher : Presses de l'Université de Montréal
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Systems of Linear Partial Differential Equations and Deformation of Pseudogroup Structures by : Antonio Kumpera

Download or read book Systems of Linear Partial Differential Equations and Deformation of Pseudogroup Structures written by Antonio Kumpera and published by Presses de l'Université de Montréal. This book was released on 1974 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of these notes is the description of a non-linear complex into which the integrability (or compatibility) condition is inserted as a non-linear operator in such a way that exactness implies the integrability of the almost-structure (existence of local coordinates for the structure) or, by the introduction of parameters, the existence of a (germ of) deformation of the structure. To the non-linear complex are attached some fundamental identities and a structure equation. The non-linear complex is a finite form of the initial portion of a linear complex which is a differential graded Lie algebra. The operators in the non-linear and linear complexes are of first order.

Systems of Linear Partial Differential Equations and Deformation of Pseudogroup Structures

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Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)

Book Synopsis Systems of Linear Partial Differential Equations and Deformation of Pseudogroup Structures by :

Download or read book Systems of Linear Partial Differential Equations and Deformation of Pseudogroup Structures written by and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Systems of Linear Partial Differential Equations and Deformation of Pseudogroups Structures [by] A. Kumpera and D.C. Spencer

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Author : Antônio Kumpera
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (219 download)

Book Synopsis Systems of Linear Partial Differential Equations and Deformation of Pseudogroups Structures [by] A. Kumpera and D.C. Spencer by : Antônio Kumpera

Download or read book Systems of Linear Partial Differential Equations and Deformation of Pseudogroups Structures [by] A. Kumpera and D.C. Spencer written by Antônio Kumpera and published by . This book was released on 1974 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Systems of Partial Differential Equations and Lie Pseudogroups

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Author : J. F. Pommaret
Publisher : CRC Press
ISBN 13 : 9780677002705
Total Pages : 428 pages
Book Rating : 4.0/5 (27 download)

Book Synopsis Systems of Partial Differential Equations and Lie Pseudogroups by : J. F. Pommaret

Download or read book Systems of Partial Differential Equations and Lie Pseudogroups written by J. F. Pommaret and published by CRC Press. This book was released on 1978 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Deformation Theory of Pseudogroup Structures

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Author : Victor Guillemin
Publisher : American Mathematical Soc.
ISBN 13 : 0821812645
Total Pages : 90 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Deformation Theory of Pseudogroup Structures by : Victor Guillemin

Download or read book Deformation Theory of Pseudogroup Structures written by Victor Guillemin and published by American Mathematical Soc.. This book was released on 1966 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Selecta

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Author : Donald Clayton Spencer
Publisher : World Scientific
ISBN 13 : 9789971978044
Total Pages : 460 pages
Book Rating : 4.9/5 (78 download)

Book Synopsis Selecta by : Donald Clayton Spencer

Download or read book Selecta written by Donald Clayton Spencer and published by World Scientific. This book was released on 1985 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lie-Theoretic Ode Numerical Analysis, Mechanics and Differential Systems

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Author : Robert Hermann
Publisher : Math-Sci Press
ISBN 13 : 9780915692453
Total Pages : 286 pages
Book Rating : 4.6/5 (924 download)

Book Synopsis Lie-Theoretic Ode Numerical Analysis, Mechanics and Differential Systems by : Robert Hermann

Download or read book Lie-Theoretic Ode Numerical Analysis, Mechanics and Differential Systems written by Robert Hermann and published by Math-Sci Press. This book was released on 1994 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Structures in Nonlinear Physics

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Author : Robert Hermann
Publisher : Math Science Press
ISBN 13 : 9780915692422
Total Pages : 363 pages
Book Rating : 4.6/5 (924 download)

Book Synopsis Geometric Structures in Nonlinear Physics by : Robert Hermann

Download or read book Geometric Structures in Nonlinear Physics written by Robert Hermann and published by Math Science Press. This book was released on 1991 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.

Partial Differential Equations and Group Theory

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Author : J.F. Pommaret
Publisher : Springer Science & Business Media
ISBN 13 : 940172539X
Total Pages : 481 pages
Book Rating : 4.4/5 (17 download)

Book Synopsis Partial Differential Equations and Group Theory by : J.F. Pommaret

Download or read book Partial Differential Equations and Group Theory written by J.F. Pommaret and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary differential control thPory (the classical theory) studies input/output re lations defined by systems of ordinary differential equations (ODE). The various con cepts that can be introduced (controllability, observability, invertibility, etc. ) must be tested on formal objects (matrices, vector fields, etc. ) by means of formal operations (multiplication, bracket, rank, etc. ), but without appealing to the explicit integration (search for trajectories, etc. ) of the given ODE. Many partial results have been re cently unified by means of new formal methods coming from differential geometry and differential algebra. However, certain problems (invariance, equivalence, linearization, etc. ) naturally lead to systems of partial differential equations (PDE). More generally, partial differential control theory studies input/output relations defined by systems of PDE (mechanics, thermodynamics, hydrodynamics, plasma physics, robotics, etc. ). One of the aims of this book is to extend the preceding con cepts to this new situation, where, of course, functional analysis and/or a dynamical system approach cannot be used. A link will be exhibited between this domain of applied mathematics and the famous 'Backlund problem', existing in the study of solitary waves or solitons. In particular, we shall show how the methods of differ ential elimination presented here will allow us to determine compatibility conditions on input and/or output as a better understanding of the foundations of control the ory. At the same time we shall unify differential geometry and differential algebra in a new framework, called differential algebraic geometry.

Lie Equations, Vol. I

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Author : Antonio Kumpera
Publisher : Princeton University Press
ISBN 13 : 1400881730
Total Pages : 309 pages
Book Rating : 4.4/5 (8 download)

Book Synopsis Lie Equations, Vol. I by : Antonio Kumpera

Download or read book Lie Equations, Vol. I written by Antonio Kumpera and published by Princeton University Press. This book was released on 2016-03-02 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph the authors redevelop the theory systematically using two different approaches. A general mechanism for the deformation of structures on manifolds was developed by Donald Spencer ten years ago. A new version of that theory, based on the differential calculus in the analytic spaces of Grothendieck, was recently given by B. Malgrange. The first approach adopts Malgrange's idea in defining jet sheaves and linear operators, although the brackets and the non-linear theory arc treated in an essentially different manner. The second approach is based on the theory of derivations, and its relationship to the first is clearly explained. The introduction describes examples of Lie equations and known integrability theorems, and gives applications of the theory to be developed in the following chapters and in the subsequent volume.

Lie Pseudogroups and Mechanics

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Author : J. F. Pommaret
Publisher : CRC Press
ISBN 13 : 9782881242137
Total Pages : 612 pages
Book Rating : 4.2/5 (421 download)

Book Synopsis Lie Pseudogroups and Mechanics by : J. F. Pommaret

Download or read book Lie Pseudogroups and Mechanics written by J. F. Pommaret and published by CRC Press. This book was released on 1988 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on Differential Geometry

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Author : Shlomo Sternberg
Publisher : American Mathematical Soc.
ISBN 13 : 0821813854
Total Pages : 466 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Lectures on Differential Geometry by : Shlomo Sternberg

Download or read book Lectures on Differential Geometry written by Shlomo Sternberg and published by American Mathematical Soc.. This book was released on 1999 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on lectures given at Harvard University during the academic year 1960-1961. The presentation assumes knowledge of the elements of modern algebra (groups, vector spaces, etc.) and point-set topology and some elementary analysis. Rather than giving all the basic information or touching upon every topic in the field, this work treats various selected topics in differential geometry. The author concisely addresses standard material and spreads exercises throughout the text. His reprint has two additions to the original volume: a paper written jointly with V. Guillemin at the beginning of a period of intense interest in the equivalence problem and a short description from the author on results in the field that occurred between the first and the second printings.

Jets, Derivations, and Deformation of Pseudogroup Structures

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Author : Constantin Neophytos Kockinos
Publisher :
ISBN 13 :
Total Pages : 504 pages
Book Rating : 4.F/5 ( download)

Book Synopsis Jets, Derivations, and Deformation of Pseudogroup Structures by : Constantin Neophytos Kockinos

Download or read book Jets, Derivations, and Deformation of Pseudogroup Structures written by Constantin Neophytos Kockinos and published by . This book was released on 1974 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Differential Equations III

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Author : Michael E. Taylor
Publisher : Springer Nature
ISBN 13 : 3031339282
Total Pages : 774 pages
Book Rating : 4.0/5 (313 download)

Book Synopsis Partial Differential Equations III by : Michael E. Taylor

Download or read book Partial Differential Equations III written by Michael E. Taylor and published by Springer Nature. This book was released on 2023-12-06 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L^p Sobolev spaces, Holder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis. The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters. It includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompressible fluids. The appendices have also been updated with additional results, ranging from weak convergence of measures to the curvature of Kahler manifolds. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC. Review of first edition: “These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted.” (Peter Lax, SIAM review, June 1998)

Applied and Numerical Partial Differential Equations

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Author : W. Fitzgibbon
Publisher : Springer Science & Business Media
ISBN 13 : 9048132398
Total Pages : 252 pages
Book Rating : 4.0/5 (481 download)

Book Synopsis Applied and Numerical Partial Differential Equations by : W. Fitzgibbon

Download or read book Applied and Numerical Partial Differential Equations written by W. Fitzgibbon and published by Springer Science & Business Media. This book was released on 2010-01-08 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Standing at the intersection of mathematics and scientific computing, this collection of state-of-the-art papers in nonlinear PDEs examines their applications to subjects as diverse as dynamical systems, computational mechanics, and the mathematics of finance.

Deformation Theory of Algebras and Structures and Applications

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Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9400930577
Total Pages : 1024 pages
Book Rating : 4.4/5 (9 download)

Book Synopsis Deformation Theory of Algebras and Structures and Applications by : Michiel Hazewinkel

Download or read book Deformation Theory of Algebras and Structures and Applications written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1024 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a result of a meeting which took place in June 1986 at 'll Ciocco" in Italy entitled 'Deformation theory of algebras and structures and applications'. It appears somewhat later than is perhaps desirable for a volume resulting from a summer school. In return it contains a good many results which were not yet available at the time of the meeting. In particular it is now abundantly clear that the Deformation theory of algebras is indeed central to the whole philosophy of deformations/perturbations/stability. This is one of the main results of the 254 page paper below (practically a book in itself) by Gerstenhaber and Shack entitled "Algebraic cohomology and defor mation theory". Two of the main philosphical-methodological pillars on which deformation theory rests are the fol lowing • (Pure) To study a highly complicated object, it is fruitful to study the ways in which it can arise as a limit of a family of simpler objects: "the unraveling of complicated structures" . • (Applied) If a mathematical model is to be applied to the real world there will usually be such things as coefficients which are imperfectly known. Thus it is important to know how the behaviour of a model changes as it is perturbed (deformed).

Lectures on Linear Partial Differential Equations

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Author : L. Nirenberg
Publisher : American Mathematical Soc.
ISBN 13 : 9780821888667
Total Pages : 70 pages
Book Rating : 4.8/5 (886 download)

Book Synopsis Lectures on Linear Partial Differential Equations by : L. Nirenberg

Download or read book Lectures on Linear Partial Differential Equations written by L. Nirenberg and published by American Mathematical Soc.. This book was released on 1973 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: