Systems Of Linear Partial Differential Equations And Deformation Of Pseudogroup Structures

Author : Antonio Kumpera
Publisher : Presses de l'Université de Montréal
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.03/5 ( download)

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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.

Author : Victor Guillemin
Publisher : American Mathematical Soc.
ISBN 13 : 0821812645
Total Pages : 90 pages
Book Rating : 4.48/5 ( download)

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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:

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

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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:

Author : Constantin Neophytos Kockinos
Publisher :
ISBN 13 :
Total Pages : 504 pages
Book Rating : 4.53/5 ( download)

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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:

Author : Donald Clayton Spencer
Publisher : World Scientific
ISBN 13 : 9789971978044
Total Pages : 460 pages
Book Rating : 4.40/5 ( download)

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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:

Author : Antonio Kumpera
Publisher : Princeton University Press
ISBN 13 : 1400881730
Total Pages : 309 pages
Book Rating : 4.34/5 ( download)

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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.

Author : Donald Clayton Spencer
Publisher : Princeton University Press
ISBN 13 : 1400871239
Total Pages : 423 pages
Book Rating : 4.30/5 ( download)

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Download or read book Global Analysis written by Donald Clayton Spencer and published by Princeton University Press. This book was released on 2015-03-08 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global analysis describes diverse yet interrelated research areas in analysis and algebraic geometry, particularly those in which Kunihiko Kodaira made his most outstanding contributions to mathematics. The eminent contributors to this volume, from Japan, the United States, and Europe, have prepared original research papers that illustrate the progress and direction of current research in complex variables and algebraic and differential geometry. The authors investigate, among other topics, complex manifolds, vector bundles, curved 4-dimensional space, and holomorphic mappings. Bibliographies facilitate further reading in the development of the various studies. Originally published in 1970. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Author : Shlomo Sternberg
Publisher : American Mathematical Soc.
ISBN 13 : 0821813854
Total Pages : 466 pages
Book Rating : 4.50/5 ( download)

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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.

Author : J. Eggers
Publisher : Cambridge University Press
ISBN 13 : 1316352390
Total Pages : 471 pages
Book Rating : 4.97/5 ( download)

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Download or read book Singularities: Formation, Structure, and Propagation written by J. Eggers and published by Cambridge University Press. This book was released on 2015-09-10 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I introduces the main concepts and techniques, using the most elementary mathematics possible so that it can be followed by readers with only a general background in differential equations. Parts II and III require more specialised methods of partial differential equations, complex analysis and asymptotic techniques. The book may be used for advanced fluid mechanics courses and as a complement to a general course on applied partial differential equations.

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9400930577
Total Pages : 1024 pages
Book Rating : 4.75/5 ( download)

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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).