Linear Differential Equations In The Complex Domain
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Ordinary Differential Equations In The Complex Domain
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Author : Einar Hille
language : en
Publisher: Courier Corporation
Release Date : 1997-01-01
Ordinary Differential Equations In The Complex Domain written by Einar Hille and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.
Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises. Bibliography.
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.
Linear Differential Equations In The Complex Domain
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Author : Yoshishige Haraoka
language : en
Publisher: Springer Nature
Release Date : 2020-11-16
Linear Differential Equations In The Complex Domain written by Yoshishige Haraoka and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-16 with Mathematics categories.
This book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems. Starting from the basic theory of linear ordinary differential equations and integrable systems, it proceeds to describe Katz theory and its applications, extending it to the case of several variables. In addition, connection problems, deformation theory, and the theory of integral representations are comprehensively covered. Complete proofs are given, offering the reader a precise account of the classical and modern theory of linear differential equations in the complex domain, including an exposition of Pfaffian systems and their monodromy problems. The prerequisites are a course in complex analysis and the basics of differential equations, topology and differential geometry. This book will be useful for graduate students, specialists in differential equations, and for non-specialists who want to use differential equations.
Principal Solutions Of Ordinary Differential Equations In The Complex Domain
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Author : Walter Charles Strodt
language : en
Publisher:
Release Date : 1957
Principal Solutions Of Ordinary Differential Equations In The Complex Domain written by Walter Charles Strodt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with categories.
Handbook Of Differential Equations Ordinary Differential Equations
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Author : Flaviano Battelli
language : en
Publisher: Elsevier
Release Date : 2008-08-19
Handbook Of Differential Equations Ordinary Differential Equations written by Flaviano Battelli and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-19 with Mathematics categories.
This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience. - Covers a variety of problems in ordinary differential equations - Pure mathematical and real-world applications - Written for mathematicians and scientists of many related fields
Problems And Examples In Differential Equations
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Author : Piotr Biler
language : en
Publisher: CRC Press
Release Date : 1992-07-21
Problems And Examples In Differential Equations written by Piotr Biler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-07-21 with Mathematics categories.
This book presents original problems from graduate courses in pure and applied mathematics and even small research topics, significant theorems and information on recent results. It is helpful for specialists working in differential equations.
Some Theorems Concerning Linear Differential Equations In The Complex Domain
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Author : Salaeddin Mohamad Elzaidi
language : en
Publisher:
Release Date : 1996
Some Theorems Concerning Linear Differential Equations In The Complex Domain written by Salaeddin Mohamad Elzaidi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Linear Differential Equations And Group Theory From Riemann To Poincare
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Author : Jeremy Gray
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-01-07
Linear Differential Equations And Group Theory From Riemann To Poincare written by Jeremy Gray 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 2010-01-07 with Mathematics categories.
This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and on-Euclidean geometry. The text for this second edition has been greatly expanded and revised, and the existing appendices enriched with historical accounts of the Riemann–Hilbert problem, the uniformization theorem, Picard–Vessiot theory, and the hypergeometric equation in higher dimensions. The exercises have been retained, making it possible to use the book as a companion to mathematics courses at the graduate level.
Principal Solutions Of Ordinary Differential Equations In The Complex Domain
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Author : Walter Strodt
language : en
Publisher: American Mathematical Soc.
Release Date : 1957
Principal Solutions Of Ordinary Differential Equations In The Complex Domain written by Walter Strodt 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 1957 with Differential equations categories.
Nevanlinna Theory And Complex Differential Equations
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Author : Ilpo Laine
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-01
Nevanlinna Theory And Complex Differential Equations written by Ilpo Laine and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-01 with Mathematics categories.
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.