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20140310153027.0 |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780857291639 |
|
978-0-85729-163-9 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA614-614.97 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
514.74 |
Edition number |
23 |
264 #1 - |
-- |
London : |
-- |
Springer London, |
-- |
2011. |
912 ## - |
-- |
ZDB-2-PHA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Gliklikh, Yuri E. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Global and Stochastic Analysis with Applications to Mathematical Physics |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by Yuri E. Gliklikh. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XXIV, 436 p. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Theoretical and Mathematical Physics, |
International Standard Serial Number |
1864-5879 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Part I Global Analysis -- Manifolds and Related Objects -- Connections -- Ordinary Differential Equations -- Elements of the Theory of Set-Valued Mappings -- Analysis on Groups of Diffeomorphisms -- Part II Stochastic Analysis -- Essentials from Stochastic Analysis in Linear Spaces -- Stochastic Analysis on Manifolds -- Mean Derivatives in Linear Spaces -- Mean Derivatives on Manifolds -- Stochastic Analysis on Groups of Diffeomorphism -- Part III Applications to Mathematical Physics -- Newtonian Mechanics -- Accessible Points and Sub-Manifolds of Mechanical Systems. Controllability -- Some Problems on Lorentz Manifolds -- Mechanical Systems with Random Perturbations -- The Newton-Nelson Equation -- Hydrodynamics. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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 |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Global analysis. |
|
Topical term or geographic name as entry element |
Distribution (Probability theory). |
|
Topical term or geographic name as entry element |
Mathematical physics. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Global Analysis and Analysis on Manifolds. |
|
Topical term or geographic name as entry element |
Probability Theory and Stochastic Processes. |
|
Topical term or geographic name as entry element |
Mathematical Methods in Physics. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9780857291622 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-0-85729-163-9 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |