Analytic And Geometric Study Of Stratified Spaces
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Analytic And Geometric Study Of Stratified Spaces
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Author : Markus J. Pflaum
language : en
Publisher: Springer
Release Date : 2003-07-01
Analytic And Geometric Study Of Stratified Spaces written by Markus J. Pflaum and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Mathematics categories.
The book provides an introduction to stratification theory leading the reader up to modern research topics in the field. The first part presents the basics of stratification theory, in particular the Whitney conditions and Mather's control theory, and introduces the notion of a smooth structure. Moreover, it explains how one can use smooth structures to transfer differential geometric and analytic methods from the arena of manifolds to stratified spaces. In the second part the methods established in the first part are applied to particular classes of stratified spaces like for example orbit spaces. Then a new de Rham theory for stratified spaces is established and finally the Hochschild (co)homology theory of smooth functions on certain classes of stratified spaces is studied. The book should be accessible to readers acquainted with the basics of topology, analysis and differential geometry.
Analytic And Geometric Study Of Stratified Spaces
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Author : Markus J. Pflaum
language : en
Publisher:
Release Date : 2014-01-15
Analytic And Geometric Study Of Stratified Spaces written by Markus J. Pflaum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Means Of Hilbert Space Operators
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Author : Fumio Hiai
language : en
Publisher: Springer Science & Business Media
Release Date : 2002
Means Of Hilbert Space Operators written by Fumio Hiai 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 2002 with categories.
Pseudo Differential Operators
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Author : Hans G. Feichtinger
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-11
Pseudo Differential Operators written by Hans G. Feichtinger 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 2008-08-11 with Mathematics categories.
Pseudo-differential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudo-differential operators, Weyl transforms, Daubechies operators, Wick quantization and time-frequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted.
Point Estimation Of Root Finding Methods
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Author : Miodrag Petkovic
language : en
Publisher: Springer
Release Date : 2008-05-29
Point Estimation Of Root Finding Methods written by Miodrag Petkovic and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-29 with Mathematics categories.
The problem of solving nonlinear equations and systems of equations ranks among the most signi?cant in the theory and practice, not only of applied mathematicsbutalsoofmanybranchesofengineeringsciences,physics,c- puter science, astronomy, ?nance, and so on. A glance at the bibliography and the list of great mathematicians who have worked on this topic points to a high level of contemporary interest. Although the rapid development of digital computers led to the e?ective implementation of many numerical methods, in practical realization, it is necessary to solve various problems such as computational e?ciency based on the total central processor unit time, the construction of iterative methods which possess a fast convergence in the presence of multiplicity (or clusters) of a desired solution, the control of rounding errors, information about error bounds of obtained approximate solution, stating computationally veri?able initial conditions that ensure a safe convergence, etc. It is the solution of these challenging problems that was the principal motivation for the present study. In this book, we are mainly concerned with the statement and study of initial conditions that provide the guaranteed convergence of an iterative method for solving equations of the form f(z) = 0. The traditional approach to this problem is mainly based on asymptotic convergence analysis using some strong hypotheses on di?erentiability and derivative bounds in a rather wide domain.
Stable Approximate Evaluation Of Unbounded Operators
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Author : C. W. Groetsch
language : en
Publisher: Springer Science & Business Media
Release Date : 2007
Stable Approximate Evaluation Of Unbounded Operators written by C. W. Groetsch 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 with Mathematics categories.
Spectral theory of bounded linear operators teams up with von Neumann’s theory of unbounded operators in this monograph to provide a general framework for the study of stable methods for the evaluation of unbounded operators. An introductory chapter provides numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. Before the general theory of stabilization methods is developed, an extensive exposition of the necessary background material from the theory of operators on Hilbert space is provided. Several specific stabilization methods are studied in detail, with particular attention to the Tikhonov-Morozov method and its iterated version.
Local And Semi Local Bifurcations In Hamiltonian Dynamical Systems
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Author : Heinz Hanßmann
language : en
Publisher: Springer
Release Date : 2006-10-18
Local And Semi Local Bifurcations In Hamiltonian Dynamical Systems written by Heinz Hanßmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-18 with Mathematics categories.
This book demonstrates that while elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Therefore, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system, absent untypical conditions or external parameters. The text moves logically from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations must be replaced by Cantor sets.
Spin Glasses
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Author : Erwin Bolthausen
language : en
Publisher: Springer
Release Date : 2007-01-11
Spin Glasses written by Erwin Bolthausen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-11 with Science categories.
This book serves as a concise introduction to the state-of-the-art of spin glass theory. The collection of review papers are written by leading experts in the field and cover the topic from a wide variety of angles. The book will be useful to both graduate students and young researchers, as well as to anyone curious to know what is going on in this exciting area of mathematical physics.
Forward Backward Stochastic Differential Equations And Their Applications
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Author : Jin Ma
language : en
Publisher: Springer
Release Date : 2007-04-24
Forward Backward Stochastic Differential Equations And Their Applications written by Jin Ma and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-24 with Mathematics categories.
This volume is a survey/monograph on the recently developed theory of forward-backward stochastic differential equations (FBSDEs). Basic techniques such as the method of optimal control, the 'Four Step Scheme', and the method of continuation are presented in full. Related topics such as backward stochastic PDEs and many applications of FBSDEs are also discussed in detail. The volume is suitable for readers with basic knowledge of stochastic differential equations, and some exposure to the stochastic control theory and PDEs. It can be used for researchers and/or senior graduate students in the areas of probability, control theory, mathematical finance, and other related fields.
Geometric Mechanics
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Author : Waldyr M. Oliva
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-10-23
Geometric Mechanics written by Waldyr M. Oliva 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 2002-10-23 with Language Arts & Disciplines categories.
Geometric Mechanics here means mechanics on a pseudo-riemannian manifold and the main goal is the study of some mechanical models and concepts, with emphasis on the intrinsic and geometric aspects arising in classical problems. The first seven chapters are written in the spirit of Newtonian Mechanics while the last two ones as well as two of the four appendices describe the foundations and some aspects of Special and General Relativity. All the material has a coordinate free presentation but, for the sake of motivation, many examples and exercises are included in order to exhibit the desirable flavor of physical applications.