The Geometric Theory Of Ordinary Differential Equations And Algebraic Functions
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The Geometric Theory Of Ordinary Differential Equations And Algebraic Functions
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Author : Georges Valiron
language : en
Publisher: Math Science Press
Release Date : 1984
The Geometric Theory Of Ordinary Differential Equations And Algebraic Functions written by Georges Valiron and has been published by Math Science Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
Handbook Of Differential Equations
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Author : Daniel Zwillinger
language : en
Publisher: Gulf Professional Publishing
Release Date : 1998
Handbook Of Differential Equations written by Daniel Zwillinger and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
This book compiles the most widely applicable methods for solving and approximating differential equations. as well as numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations. For nearly every technique, the book provides: The types of equations to which the method is applicable The idea behind the method The procedure for carrying out the method At least one simple example of the method Any cautions that should be exercised Notes for more advanced users References to the literature for more discussion or more examples, including pointers to electronic resources, such as URLs
Lie Groups The Geometric Theory Of Ordinary Differential Equations And Algebraic Functions
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Author : Sophus Lie
language : de
Publisher:
Release Date : 1975
Lie Groups The Geometric Theory Of Ordinary Differential Equations And Algebraic Functions written by Sophus Lie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Lie groups categories.
Topics In The Geometric Theory Of Linear Systems
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Author : Robert Hermann
language : en
Publisher:
Release Date : 1984
Topics In The Geometric Theory Of Linear Systems written by Robert Hermann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
Geometric Theory Of Generalized Functions With Applications To General Relativity
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Author : M. Grosser
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Geometric Theory Of Generalized Functions With Applications To General Relativity written by M. Grosser 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 2013-04-17 with Mathematics categories.
Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken place. Originating in infinite dimensional analysis and initially applied mainly to problems in nonlinear partial differential equations involving singularities, the theory has undergone a change both in in ternal structure and scope of applicability, due to a growing number of applications to questions of a more geometric nature. The present book is intended to provide an in-depth presentation of these develop ments comprising its structural aspects within the theory of generalized functions as well as a (selective but, as we hope, representative) set of applications. This main purpose of the book is accompanied by a number of sub ordinate goals which we were aiming at when arranging the material included here. First, despite the fact that by now several excellent mono graphs on Colombeau algebras are available, we have decided to give a self-contained introduction to the field in Chapter 1. Our motivation for this decision derives from two main features of our approach. On the one hand, in contrast to other treatments of the subject we base our intro duction to the field on the so-called special variant of the algebras, which makes many of the fundamental ideas of the field particularly transpar ent and at the same time facilitates and motivates the introduction of the more involved concepts treated later in the chapter.
Differential Geometry Applied To Dynamical Systems With Cd Rom
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Author : Jean-marc Ginoux
language : en
Publisher: World Scientific
Release Date : 2009-04-03
Differential Geometry Applied To Dynamical Systems With Cd Rom written by Jean-marc Ginoux and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-03 with Mathematics categories.
This book aims to present a new approach called Flow Curvature Method that applies Differential Geometry to Dynamical Systems. Hence, for a trajectory curve, an integral of any n-dimensional dynamical system as a curve in Euclidean n-space, the curvature of the trajectory — or the flow — may be analytically computed. Then, the location of the points where the curvature of the flow vanishes defines a manifold called flow curvature manifold. Such a manifold being defined from the time derivatives of the velocity vector field, contains information about the dynamics of the system, hence identifying the main features of the system such as fixed points and their stability, local bifurcations of codimension one, center manifold equation, normal forms, linear invariant manifolds (straight lines, planes, hyperplanes).In the case of singularly perturbed systems or slow-fast dynamical systems, the flow curvature manifold directly provides the slow invariant manifold analytical equation associated with such systems. Also, starting from the flow curvature manifold, it will be demonstrated how to find again the corresponding dynamical system, thus solving the inverse problem.
Crc Concise Encyclopedia Of Mathematics
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Author : Eric W. Weisstein
language : en
Publisher: CRC Press
Release Date : 2002-12-12
Crc Concise Encyclopedia Of Mathematics written by Eric W. Weisstein and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-12 with Mathematics categories.
Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Geometry I
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Author : Marcel Berger
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-01-17
Geometry I written by Marcel Berger 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 2009-01-17 with Mathematics categories.
Volume I of this 2-volume textbook provides a lively and readable presentation of large parts of classical geometry. For each topic the author presents an esthetically pleasing and easily stated theorem - although the proof may be difficult and concealed. The mathematical text is illustrated with figures, open problems and references to modern literature, providing a unified reference to geometry in the full breadth of its subfields and ramifications.
Technical Abstract Bulletin
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Author :
language : en
Publisher:
Release Date : 1964
Technical Abstract Bulletin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Science categories.
U S Government Research Reports
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Author :
language : en
Publisher:
Release Date : 1964
U S Government Research Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Science categories.