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Author : R. Gerard
Publisher : Springer
ISBN 13 : 3540386742
Total Pages : 415 pages
Book Rating : 4.5/5 (43 download)
Download or read book Equations Differentielles et Systemes de Pfaff dans le Champs Complexe II written by R. Gerard and published by Springer. This book was released on 2006-11-14 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Einar Hille
Publisher : Courier Corporation
ISBN 13 : 9780486696201
Total Pages : 514 pages
Book Rating : 4.6/5 (962 download)
Download or read book Ordinary Differential Equations in the Complex Domain written by Einar Hille and published by Courier Corporation. This book was released on 1997-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :
Publisher :
ISBN 13 :
Total Pages : 310 pages
Book Rating : 4.3/5 (91 download)
Download or read book Équations différentielles dans le champ complexe: Équations différentielles ordinaires written by and published by . This book was released on 1988 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Flaviano Battelli
Publisher : Elsevier
ISBN 13 : 0080559468
Total Pages : 719 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Differential Equations: Ordinary Differential Equations written by Flaviano Battelli and published by Elsevier. This book was released on 2008-08-19 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : G. Sansone
Publisher : Elsevier
ISBN 13 : 1483135969
Total Pages : 553 pages
Book Rating : 4.4/5 (831 download)
Download or read book Non-Linear Differential Equations written by G. Sansone and published by Elsevier. This book was released on 2016-06-06 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Series of Monographs in Pure and Applied Mathematics, Volume 67: Non-Linear Differential Equations, Revised Edition focuses on the analysis of the phase portrait of two-dimensional autonomous systems; qualitative methods used in finding periodic solutions in periodic systems; and study of asymptotic properties. The book first discusses general theorems about solutions of differential systems. Periodic solutions, autonomous systems, and integral curves are explained. The text explains the singularities of Briot-Bouquet theory. The selection takes a look at plane autonomous systems. Topics include limiting sets, plane cycles, isolated singular points, index, and the torus as phase space. The text also examines autonomous plane systems with perturbations and autonomous and non-autonomous systems with one degree of freedom. The book also tackles linear systems. Reducible systems, periodic solutions, and linear periodic systems are considered. The book is a vital source of information for readers interested in applied mathematics.
Author : I︠U︡. S. Ilʹi︠a︡shenko
Publisher : American Mathematical Soc.
ISBN 13 : 0821836676
Total Pages : 641 pages
Book Rating : 4.8/5 (218 download)
Download or read book Lectures on Analytic Differential Equations written by I︠U︡. S. Ilʹi︠a︡shenko and published by American Mathematical Soc.. This book was released on 2008 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book combines the features of a graduate-level textbook with those of a research monograph and survey of the recent results on analysis and geometry of differential equations in the real and complex domain. As a graduate textbook, it includes self-contained, sometimes considerably simplified demonstrations of several fundamental results, which previously appeared only in journal publications (desingularization of planar analytic vector fields, existence of analytic separatrices, positive and negative results on the Riemann-Hilbert problem, Ecalle-Voronin and Martinet-Ramis moduli, solution of the Poincare problem on the degree of an algebraic separatrix, etc.). As a research monograph, it explores in a systematic way the algebraic decidability of local classification problems, rigidity of holomorphic foliations, etc. Each section ends with a collection of problems, partly intended to help the reader to gain understanding and experience with the material, partly drafting demonstrations of the mor The exposition of the book is mostly geometric, though the algebraic side of the constructions is also prominently featured. on several occasions the reader is introduced to adjacent areas, such as intersection theory for divisors on the projective plane or geometric theory of holomorphic vector bundles with meromorphic connections. The book provides the reader with the principal tools of the modern theory of analytic differential equations and intends to serve as a standard source for references in this area.
Author :
Publisher :
ISBN 13 :
Total Pages : 956 pages
Book Rating : 4.:/5 (31 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1988 with total page 956 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christiane Rousseau
Publisher : Springer Science & Business Media
ISBN 13 : 9781402019296
Total Pages : 548 pages
Book Rating : 4.0/5 (192 download)
Download or read book Normal Forms, Bifurcations and Finiteness Problems in Differential Equations written by Christiane Rousseau and published by Springer Science & Business Media. This book was released on 2004-02-29 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Nato Advanced Study Institute, held in Montreal, Canada, from 8 to 19 July 2002
Author : Yasutaka Sibuya
Publisher : American Mathematical Soc.
ISBN 13 : 0821846760
Total Pages : 286 pages
Book Rating : 4.8/5 (218 download)
Download or read book Linear Differential Equations in the Complex Domain written by Yasutaka Sibuya and published by American Mathematical Soc.. This book was released on 2008-06-26 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Shoshichi Kobayashi
Publisher : Princeton University Press
ISBN 13 : 1400858682
Total Pages : 317 pages
Book Rating : 4.4/5 (8 download)
Download or read book Differential Geometry of Complex Vector Bundles written by Shoshichi Kobayashi and published by Princeton University Press. This book was released on 2014-07-14 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also to low dimensional topologists and mathematical physicists working on gauge theory. This book, which grew out of the author's lectures and seminars in Berkeley and Japan, is written for researchers and graduate students in these various fields of mathematics. Originally published in 1987. 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 : Felipe Cano
Publisher : Springer Nature
ISBN 13 : 3031541723
Total Pages : 500 pages
Book Rating : 4.0/5 (315 download)
Download or read book Handbook of Geometry and Topology of Singularities VI: Foliations written by Felipe Cano and published by Springer Nature. This book was released on with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Blázquez-Sanz
Publisher : American Mathematical Soc.
ISBN 13 : 0821868721
Total Pages : 178 pages
Book Rating : 4.8/5 (218 download)
Download or read book Symmetries and Related Topics in Differential and Difference Equations written by David Blázquez-Sanz and published by American Mathematical Soc.. This book was released on 2011 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers collected here discuss topics such as Lie symmetries, equivalence transformations and differential invariants, group theoretical methods in linear equations, and the development of some geometrical methods in theoretical physics. The reader will find new results in symmetries of differential and difference equations, applications in classical and quantum mechanics, two fundamental problems of theoretical mechanics, and the mathematical nature of time in Lagrangian mechanics.
Author : Takahiro Kawai
Publisher : World Scientific
ISBN 13 : 9814532576
Total Pages : 526 pages
Book Rating : 4.8/5 (145 download)
Download or read book Structure of Solutions of Differential Equations written by Takahiro Kawai and published by World Scientific. This book was released on 1996 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chris Miller
Publisher : Springer Science & Business Media
ISBN 13 : 1461440416
Total Pages : 247 pages
Book Rating : 4.4/5 (614 download)
Download or read book Lecture Notes on O-Minimal Structures and Real Analytic Geometry written by Chris Miller and published by Springer Science & Business Media. This book was released on 2012-09-14 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume was produced in conjunction with the Thematic Program in o-Minimal Structures and Real Analytic Geometry, held from January to June of 2009 at the Fields Institute. Five of the six contributions consist of notes from graduate courses associated with the program: Felipe Cano on a new proof of resolution of singularities for planar analytic vector fields; Chris Miller on o-minimality and Hardy fields; Jean-Philippe Rolin on the construction of o-minimal structures from quasianalytic classes; Fernando Sanz on non-oscillatory trajectories of vector fields; and Patrick Speissegger on pfaffian sets. The sixth contribution, by Antongiulio Fornasiero and Tamara Servi, is an adaptation to the nonstandard setting of A.J. Wilkie's construction of o-minimal structures from infinitely differentiable functions. Most of this material is either unavailable elsewhere or spread across many different sources such as research papers, conference proceedings and PhD theses. This book will be a useful tool for graduate students or researchers from related fields who want to learn about expansions of o-minimal structures by solutions, or images thereof, of definable systems of differential equations.
Author : Henryk Zoladek
Publisher : Springer Science & Business Media
ISBN 13 : 3764375361
Total Pages : 589 pages
Book Rating : 4.7/5 (643 download)
Download or read book The Monodromy Group written by Henryk Zoladek and published by Springer Science & Business Media. This book was released on 2006-08-10 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: In singularity theory and algebraic geometry, the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations. It has applications in the weakened 16th Hilbert problem and in mixed Hodge structures. There is a deep connection of monodromy theory with Galois theory of differential equations and algebraic functions. In covering these and other topics, this book underlines the unifying role of the monogropy group.
Author : B L J Braaksma
Publisher : World Scientific
ISBN 13 : 9814548081
Total Pages : 342 pages
Book Rating : 4.8/5 (145 download)
Download or read book The Stokes Phenomenon And Hilbert's 16th Problem written by B L J Braaksma and published by World Scientific. This book was released on 1996-05-06 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : S.N. Pnevmatikos
Publisher : Elsevier
ISBN 13 : 008087214X
Total Pages : 467 pages
Book Rating : 4.0/5 (88 download)
Download or read book Singularities & Dynamical Systems written by S.N. Pnevmatikos and published by Elsevier. This book was released on 1985-01-01 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an account of the lectures delivered at the international Conference ``Singularities and Dynamical Systems-83''. The main purpose of the Conference was to create conditions of scientific contact between mathematicians and physicists who have singularities and dynamical systems as common interests.
