Applications Of Global Analysis In Mathematical Physics
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Applications Of Global Analysis In Mathematical Physics
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Author : Jerrold E. Marsden
language : en
Publisher:
Release Date : 1993
Applications Of Global Analysis In Mathematical Physics written by Jerrold E. Marsden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Global analysis (Mathematics) categories.
Global Analysis In Mathematical Physics
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Author : I︠U︡. E. Gliklikh
language : en
Publisher: Springer Science & Business Media
Release Date : 1997
Global Analysis In Mathematical Physics written by I︠U︡. 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 1997 with Mathematics categories.
This book is the first in monographic literature giving a common treatment to three areas of applications of Global Analysis in Mathematical Physics previously considered quite distant from each other, namely, differential geometry applied to classical mechanics, stochastic differential geometry used in quantum and statistical mechanics, and infinite-dimensional differential geometry fundamental for hydrodynamics. The unification of these topics is made possible by considering the Newton equation or its natural generalizations and analogues as a fundamental equation of motion. New general geometric and stochastic methods of investigation are developed, and new results on existence, uniqueness, and qualitative behavior of solutions are obtained.
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.
Application Of Global Analysis In Mathematical Physics
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Author : Jerrold Eldon Marsden (Mathematician, United States)
language : en
Publisher:
Release Date : 1973
Application Of Global Analysis In Mathematical Physics written by Jerrold Eldon Marsden (Mathematician, United States) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.
Microlocal Methods In Mathematical Physics And Global Analysis
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Author : Daniel Grieser
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-13
Microlocal Methods In Mathematical Physics And Global Analysis written by Daniel Grieser 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 2012-12-13 with Mathematics categories.
Microlocal analysis is a field of mathematics that was invented in the mid-20th century for the detailed investigation of problems from partial differential equations, which incorporated and made rigorous many ideas that originated in physics. Since then it has grown to a powerful machine which is used in global analysis, spectral theory, mathematical physics and other fields, and its further development is a lively area of current mathematical research. In this book extended abstracts of the conference 'Microlocal Methods in Mathematical Physics and Global Analysis', which was held at the University of Tübingen from the 14th to the 18th of June 2011, are collected.
Applications Of Global Analysis In Mathematical Physics By Jerry Marsden
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Author : Jerrold E. Marsden
language : en
Publisher:
Release Date : 1974
Applications Of Global Analysis In Mathematical Physics By Jerry Marsden written by Jerrold E. Marsden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Global analysis (Mathematics) categories.
Topology And Its Applications
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Author : Sergeĭ Petrovich Novikov
language : en
Publisher: American Mathematical Soc.
Release Date : 1993
Topology And Its Applications written by Sergeĭ Petrovich Novikov 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 1993 with Mathematics categories.
Translated from the 1992 Russian edition. Proceedings of a conference held in Zagulba, near Baku, in October 1987. Papers discuss flows on surfaces, topological characteristics of infinite- dimensional mappings and the solvability of nonlinear boundary value problems, combinatorics of a partial fraction decomposition, the theory of spaces of continuous functions, and spectral asymptotics of the Laplacian on a fundamental domain in three- dimensional hyperbolic space. No index. Annotation copyright by Book News, Inc., Portland, OR
Application Of Global Analysis In Mathematical Physics
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Author : J. Marsden
language : en
Publisher:
Release Date : 1973
Application Of Global Analysis In Mathematical Physics written by J. Marsden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.
Mathematical Analysis And Numerical Methods For Science And Technology
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Author : Robert Dautray
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Analysis And Numerical Methods For Science And Technology written by Robert Dautray 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 2012-12-06 with Mathematics categories.
The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form.
Methods And Applications Of Global Analysis
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Author :
language : en
Publisher:
Release Date : 1993
Methods And Applications Of Global Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Global analysis (Mathematics) categories.