Informes De Matem Tica S Rie A

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Informes De Matem Tica S Rie A

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Author :
language : en
Publisher:
Release Date : 19??

Informes De Matem Tica S Rie A written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 19?? with Mathematics categories.

A Primer Of Algebraic D Modules

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Author : S. C. Coutinho
language : en
Publisher: Cambridge University Press
Release Date : 1995-09-07

A Primer Of Algebraic D Modules written by S. C. Coutinho and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-07 with Mathematics categories.

The theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to diverse areas such as singularity theory and representation theory. This book introduces D-modules and their applications avoiding all unnecessary over-sophistication. It is aimed at beginning graduate students and the approach taken is algebraic, concentrating on the role of the Weyl algebra. Very few prerequisites are assumed, and the book is virtually self-contained. Exercises are included at the end of each chapter and the reader is given ample references to the more advanced literature. This is an excellent introduction to D-modules for all who are new to this area.

Informes De Matem Tica

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Author :
language : pt-BR
Publisher:
Release Date : 2001

Informes De Matem Tica written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.

Selected Works Of Ellis Kolchin With Commentary

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Author : Ellis Robert Kolchin
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Selected Works Of Ellis Kolchin With Commentary written by Ellis Robert Kolchin 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.

The work of Joseph Fels Ritt and Ellis Kolchin in differential algebra paved the way for exciting new applications in constructive symbolic computation, differential Galois theory, the model theory of fields, and Diophantine geometry. This volume assembles Kolchin's mathematical papers, contributing solidly to the archive on construction of modern differential algebra. This collection of Kolchin's clear and comprehensive papers--in themselves constituting a history of the subject--is an invaluable aid to the student of differential algebra. In 1910, Ritt created a theory of algebraic differential equations modeled not on the existing transcendental methods of Lie, but rather on the new algebra being developed by E. Noether and B. van der Waerden. Building on Ritt's foundation, and deeply influenced by Weil and Chevalley, Kolchin opened up Ritt theory to modern algebraic geometry. In so doing, he led differential geometry in a new direction. By creating differential algebraic geometry and the theory of differential algebraic groups, Kolchin provided the foundation for a "new geometry" that has led to both a striking and an original approach to arithmetic algebraic geometry. Intriguing possibilities were introduced for a new language for nonlinear differential equations theory. The volume includes commentary by A. Borel, M. Singer, and B. Poizat. Also Buium and Cassidy trace the development of Kolchin's ideas, from his important early work on the differential Galois theory to his later groundbreaking results on the theory of differential algebraic geometry and differential algebraic groups. Commentaries are self-contained with numerous examples of various aspects of differential algebra and its applications. Central topics of Kolchin's work are discussed, presenting the history of differential algebra and exploring how his work grew from and transformed the work of Ritt. New directions of differential algebra are illustrated, outlining important current advances. Prerequisite to understanding the text is a background at the beginning graduate level in algebra, specifically commutative algebra, the theory of field extensions, and Galois theory.

Informes De Matem Tica S Rie A Matem Tica Pura

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Author : Instituto de Matemática Pura e Aplicada (Rio de Janeiro)
language : pt-BR
Publisher:
Release Date : 1981

Informes De Matem Tica S Rie A Matem Tica Pura written by Instituto de Matemática Pura e Aplicada (Rio de Janeiro) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.

Algebraic Theory Of Differential Equations

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Author :
language : en
Publisher: Cambridge University Press
Release Date :

Algebraic Theory Of Differential Equations written by and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Divergent Series Summability And Resurgence I

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Author : Claude Mitschi
language : en
Publisher: Springer
Release Date : 2016-08-27

Divergent Series Summability And Resurgence I written by Claude Mitschi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-27 with Mathematics categories.

Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study of complex linear differential equations, their formal solutions at singular points, their monodromy and their differential Galois groups. The Riemann-Hilbert problem is discussed from Bolibrukh’s point of view. The second part expounds 1-summability and Ecalle’s theory of resurgence under fairly general conditions. It contains numerous examples and presents an analysis of the singularities in the Borel plane via “alien calculus”, which provides a full description of the Stokes phenomenon for linear or non-linear differential or difference equations. The first of a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists interested in geometric, algebraic or local analytic properties of dynamical systems. It includes useful exercises with solutions. The prerequisites are a working knowledge of elementary complex analysis and differential algebra.

Sobre A Aritm Tica De Semigrupos Num Ricos

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Author : Silas Fantin
language : en
Publisher:
Release Date : 2000

Sobre A Aritm Tica De Semigrupos Num Ricos written by Silas Fantin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.

Bibliografia De Publica Es Oficiais Brasileiras

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Author :
language : pt-BR
Publisher:
Release Date : 1985

Bibliografia De Publica Es Oficiais Brasileiras written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Brazil categories.

Robust And Nonlinear Time Series Analysis

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Author : J. Franke
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Robust And Nonlinear Time Series Analysis written by J. Franke 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.

Classical time series methods are based on the assumption that a particular stochastic process model generates the observed data. The, most commonly used assumption is that the data is a realization of a stationary Gaussian process. However, since the Gaussian assumption is a fairly stringent one, this assumption is frequently replaced by the weaker assumption that the process is wide~sense stationary and that only the mean and covariance sequence is specified. This approach of specifying the probabilistic behavior only up to "second order" has of course been extremely popular from a theoretical point of view be cause it has allowed one to treat a large variety of problems, such as prediction, filtering and smoothing, using the geometry of Hilbert spaces. While the literature abounds with a variety of optimal estimation results based on either the Gaussian assumption or the specification of second-order properties, time series workers have not always believed in the literal truth of either the Gaussian or second-order specifica tion. They have none-the-less stressed the importance of such optimali ty results, probably for two main reasons: First, the results come from a rich and very workable theory. Second, the researchers often relied on a vague belief in a kind of continuity principle according to which the results of time series inference would change only a small amount if the actual model deviated only a small amount from the assum ed model.