Deformations Of Nilpotent Matrices Over Rings And Reduction Of Analytic Families Of Meromorphic Differential Equations
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Deformations Of Nilpotent Matrices Over Rings And Reduction Of Analytic Families Of Meromorphic Differential Equations
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Author : Donald G. Babbitt
language : en
Publisher: American Mathematical Soc.
Release Date : 1985
Deformations Of Nilpotent Matrices Over Rings And Reduction Of Analytic Families Of Meromorphic Differential Equations written by Donald G. Babbitt and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
This paper studies the reduction theory of analytic parametric families of systems of linear meromorphic differential equations in the neighborhood of an irregular singularity.
Linear Differential Equations In The Complex Domain
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Author : Yasutaka Sibuya
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-06-26
Linear Differential Equations In The Complex Domain written by Yasutaka Sibuya and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-26 with Mathematics categories.
This book is a translation of a 1976 book originally written in Japanese. The main attention is paid to intrinsic aspects of problems related to linear ordinary differential equations in complex domains. Examples of the problems discussed in the book include the Riemann problem on the Riemann sphere, a characterization of regular singularities, and a classification of meromorphic differential equations. Since the original book was published, many new ideas have developed, such as applications of D-modules, Gevrey asymptotics, cohomological methods, $k$-summability, and studies of differential equations containing parameters. Five appendices, added in the present edition, briefly cover these new ideas. In addition, more than 100 references have been added. This book introduces the reader to the essential facts concerning the structure of solutions of linear differential equations in the complex domain and illuminates the intrinsic meaning of older results by means of more modern ideas. A useful reference for research mathematicians, this book would also be suitable as a textbook in a graduate course or seminar.
Isomonodromic Deformations And Frobenius Manifolds
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Author : Claude Sabbah
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-20
Isomonodromic Deformations And Frobenius Manifolds written by Claude Sabbah 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 2007-12-20 with Mathematics categories.
Based on a series of graduate lectures, this book provides an introduction to algebraic geometric methods in the theory of complex linear differential equations. Starting from basic notions in complex algebraic geometry, it develops some of the classical problems of linear differential equations. It ends with applications to recent research questions related to mirror symmetry. The fundamental tool used is that of a vector bundle with connection. The book includes complete proofs, and applications to recent research questions. Aimed at graduate students and researchers, the book assumes some familiarity with basic complex algebraic geometry.
The Selected Works Of V S Varadarajan
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Author : V. S. Varadarajan
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
The Selected Works Of V S Varadarajan written by V. S. Varadarajan and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
V.S. Varadarajan has made significant contributions to a remarkably broad range of mathematical subjects which include probability theory, various mathematical aspects of quantum mechanics, harmonic analysis on reductive groups and symmetric spaces, and the modern theory of meromorphic differential equations. The papers included in this volume have been selected to highlight these contributions. For other wonderful titles written by this author see: ""Euler through Time: A New Look at Old Themes"", ""Supersymmetry for Mathematicians: An Introduction"", ""The Mathematical Legacy of Harish-Chandra: A Celebration of Representation Theory and Harmonic Analysis"", and ""Algebra in Ancient and Modern Times"".
Deformation Theory Of Algebras And Structures And Applications
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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Deformation Theory Of Algebras And Structures And Applications written by Michiel Hazewinkel 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.
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).
De Rham Cohomology Of Differential Modules On Algebraic Varieties
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Author : Yves André
language : en
Publisher: Springer Nature
Release Date : 2020-07-16
De Rham Cohomology Of Differential Modules On Algebraic Varieties written by Yves André and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-16 with Mathematics categories.
"...A nice feature of the book [is] that at various points the authors provide examples, or rather counterexamples, that clearly show what can go wrong...This is a nicely-written book [that] studies algebraic differential modules in several variables." --Mathematical Reviews
International Conference On Mathematical Sciences And Statistics 2013
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Author : Adem Kilicman
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-03-16
International Conference On Mathematical Sciences And Statistics 2013 written by Adem Kilicman 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 2014-03-16 with Mathematics categories.
This volume is devoted to the most recent discoveries in mathematics and statistics. It also serves as a platform for knowledge and information exchange between experts from industrial and academic sectors. The book covers a wide range of topics, including mathematical analyses, probability, statistics, algebra, geometry, mathematical physics, wave propagation, stochastic processes, ordinary and partial differential equations, boundary value problems, linear operators, cybernetics and number and functional theory. It is a valuable resource for pure and applied mathematicians, statisticians, engineers and scientists.
Deformations Of Nilpotent Matrices Over Rings And Reduction Of Analytic Families Of Meromorphic Differential Equations
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Author : Arthur Knoebel
language : en
Publisher:
Release Date : 1985
Deformations Of Nilpotent Matrices Over Rings And Reduction Of Analytic Families Of Meromorphic Differential Equations written by Arthur Knoebel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Abelian groups categories.
The Stokes Phenomenon And Hilbert S 16th Problem
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Author : B L J Braaksma
language : en
Publisher: World Scientific
Release Date : 1996-05-06
The Stokes Phenomenon And Hilbert S 16th Problem written by B L J Braaksma and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-06 with categories.
The 16th Problem of Hilbert is one of the most famous remaining unsolved problems of mathematics. It concerns whether a polynomial vector field on the plane has a finite number of limit cycles. There is a strong connection with divergent solutions of differential equations, where a central role is played by the Stokes Phenomenon, the change in asymptotic behaviour of the solutions in different sectors of the complex plane.The contributions to these proceedings survey both of these themes, including historical and modern theoretical points of view. Topics covered include the Riemann-Hilbert problem, Painleve equations, nonlinear Stokes phenomena, and the inverse Galois problem.
Notices Of The American Mathematical Society
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1985
Notices Of The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Electronic journals categories.
Contains articles of significant interest to mathematicians, including reports on current mathematical research.