Global And Stochastic Analysis With Applications To Mathematical Physics
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Global And Stochastic Analysis With Applications To Mathematical Physics
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Author : Yuri E. Gliklikh
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-07
Global And Stochastic Analysis With Applications To Mathematical Physics written by Yuri E. Gliklikh 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 2010-12-07 with Mathematics categories.
Methods of global analysis and stochastic analysis are most often applied in mathematical physics as separate entities, thus forming important directions in the field. However, while combination of the two subject areas is rare, it is fundamental for the consideration of a broader class of problems. This book develops methods of Global Analysis and Stochastic Analysis such that their combination allows one to have a more or less common treatment for areas of mathematical physics that traditionally are considered as divergent and requiring different methods of investigation. Global and Stochastic Analysis with Applications to Mathematical Physics covers branches of mathematics that are currently absent in monograph form. Through the demonstration of new topics of investigation and results, both in traditional and more recent problems, this book offers a fresh perspective on ordinary and stochastic differential equations and inclusions (in particular, given in terms of Nelson's mean derivatives) on linear spaces and manifolds. Topics covered include classical mechanics on non-linear configuration spaces, problems of statistical and quantum physics, and hydrodynamics. A self-contained book that provides a large amount of preliminary material and recent results which will serve to be a useful introduction to the subject and a valuable resource for further research. It will appeal to researchers, graduate and PhD students working in global analysis, stochastic analysis and mathematical physics.
Nonstandard Methods In Stochastic Analysis And Mathematical Physics
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Author : Sergio Albeverio
language : en
Publisher: Courier Dover Publications
Release Date : 2009-02-26
Nonstandard Methods In Stochastic Analysis And Mathematical Physics written by Sergio Albeverio and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-26 with Mathematics categories.
Two-part treatment begins with a self-contained introduction to the subject, followed by applications to stochastic analysis and mathematical physics. "A welcome addition." — Bulletin of the American Mathematical Society. 1986 edition.
Stochastic Analysis On Manifolds
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Author : Elton P. Hsu
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Stochastic Analysis On Manifolds written by Elton P. Hsu 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 2002 with Mathematics categories.
Mainly from the perspective of a probabilist, Hsu shows how stochastic analysis and differential geometry can work together for their mutual benefit. He writes for researchers and advanced graduate students with a firm foundation in basic euclidean stochastic analysis, and differential geometry. He does not include the exercises usual to such texts, but does provide proofs throughout that invite readers to test their understanding. Annotation copyrighted by Book News Inc., Portland, OR.
Theory And Applications Of Stochastic Processes
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Author : Zeev Schuss
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-09
Theory And Applications Of Stochastic Processes written by Zeev Schuss 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 2009-12-09 with Mathematics categories.
Stochastic processes and diffusion theory are the mathematical underpinnings of many scientific disciplines, including statistical physics, physical chemistry, molecular biophysics, communications theory and many more. Many books, reviews and research articles have been published on this topic, from the purely mathematical to the most practical. This book offers an analytical approach to stochastic processes that are most common in the physical and life sciences, as well as in optimal control and in the theory of filltering of signals from noisy measurements. Its aim is to make probability theory in function space readily accessible to scientists trained in the traditional methods of applied mathematics, such as integral, ordinary, and partial differential equations and asymptotic methods, rather than in probability and measure theory.
Stochastic Numerics For Mathematical Physics
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Author : Grigori Noah Milstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Stochastic Numerics For Mathematical Physics written by Grigori Noah Milstein 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 2013-03-09 with Science categories.
Stochastic differential equations have many applications in the natural sciences. Besides, the employment of probabilistic representations together with the Monte Carlo technique allows us to reduce solution of multi-dimensional problems for partial differential equations to integration of stochastic equations. This approach leads to powerful computational mathematics that is presented in the treatise. The authors propose many new special schemes, some published here for the first time. In the second part of the book they construct numerical methods for solving complicated problems for partial differential equations occurring in practical applications, both linear and nonlinear. All the methods are presented with proofs and hence founded on rigorous reasoning, thus giving the book textbook potential. An overwhelming majority of the methods are accompanied by the corresponding numerical algorithms which are ready for implementation in practice. The book addresses researchers and graduate students in numerical analysis, physics, chemistry, and engineering as well as mathematical biology and financial mathematics.
Modern Methods In Operator Theory And Harmonic Analysis
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Author : Alexey Karapetyants
language : en
Publisher: Springer Nature
Release Date : 2019-08-28
Modern Methods In Operator Theory And Harmonic Analysis written by Alexey Karapetyants and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-28 with Mathematics categories.
This proceedings volume gathers selected, peer-reviewed papers from the "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VIII" (OTHA 2018) conference, which was held in Rostov-on-Don, Russia, in April 2018. The book covers a diverse range of topics in advanced mathematics, including harmonic analysis, functional analysis, operator theory, function theory, differential equations and fractional analysis – all fields that have been intensively developed in recent decades. Direct and inverse problems arising in mathematical physics are studied and new methods for solving them are presented. Complex multiparameter objects that require the involvement of operators with variable parameters and functional spaces, with fractional and even variable exponents, make these approaches all the more relevant. Given its scope, the book will especially benefit researchers with an interest in new trends in harmonic analysis and operator theory, though it will also appeal to graduate students seeking new and intriguing topics for further investigation.
P Adic Analysis And Mathematical Physics
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Author : Vasili? Sergeevich Vladimirov
language : en
Publisher: World Scientific
Release Date : 1994
P Adic Analysis And Mathematical Physics written by Vasili? Sergeevich Vladimirov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small distances.This is the first book to deal with applications of p-adic numbers in theoretical and mathematical physics. It gives an elementary and thoroughly written introduction to p-adic numbers and p-adic analysis with great numbers of examples as well as applications of p-adic numbers in classical mechanics, dynamical systems, quantum mechanics, statistical physics, quantum field theory and string theory.
Ideas And Methods In Mathematical Analysis Stochastics And Applications Volume 1
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Author : Sergio Albeverio
language : en
Publisher: Cambridge University Press
Release Date : 1992-06-26
Ideas And Methods In Mathematical Analysis Stochastics And Applications Volume 1 written by Sergio Albeverio 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 1992-06-26 with Mathematics categories.
A collection of essays by many of the closest co-workers of Raphael Høegh-Krohn.
Mathematics Physics Lectures On Recent Results Volume Ii
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Author : Ludwig Streit
language : en
Publisher: World Scientific
Release Date : 1986-05-01
Mathematics Physics Lectures On Recent Results Volume Ii written by Ludwig Streit and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-05-01 with Science categories.
Contents: The Inverse Method in Quantum Mechanics (H Grosse)An Invitation to Alain Connes' Cyclic Cohomology (D Kastler)Topological Methods in Field Theory (L A-Gaumé)Non-Standard Analysis: Applications to Probability Theory and Mathematical Physics (S Albeverio)Nonlinear Evolution Equation: Cauchy Problem and Scattering Theory (J Ginibre & G Velo)and other papers Readership: Mathematical and quantum physicists.
Partial Differential Equations In Classical Mathematical Physics
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Author : Isaak Rubinstein
language : en
Publisher: Cambridge University Press
Release Date : 1998-04-28
Partial Differential Equations In Classical Mathematical Physics written by Isaak Rubinstein 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 1998-04-28 with Mathematics categories.
The unique feature of this book is that it considers the theory of partial differential equations in mathematical physics as the language of continuous processes, that is, as an interdisciplinary science that treats the hierarchy of mathematical phenomena as reflections of their physical counterparts. Special attention is drawn to tracing the development of these mathematical phenomena in different natural sciences, with examples drawn from continuum mechanics, electrodynamics, transport phenomena, thermodynamics, and chemical kinetics. At the same time, the authors trace the interrelation between the different types of problems - elliptic, parabolic, and hyperbolic - as the mathematical counterparts of stationary and evolutionary processes. This combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs, one that will be appreciated by both students and researchers alike.