Global Analysis In Mathematical Physics

Author : I︠U︡. E. Gliklikh
Publisher : Springer Science & Business Media
Page : 240 pages
File Size : 53,9 Mb
Release : 1997
Category : Mathematics
ISBN : 0387948678

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Global Analysis in Mathematical Physics by I︠U︡. E. Gliklikh Pdf

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.

Author : Daniel Grieser,Stefan Teufel,Andras Vasy
Publisher : Springer Science & Business Media
Page : 148 pages
File Size : 44,8 Mb
Release : 2012-12-13
Category : Mathematics
ISBN : 9783034804660

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Microlocal Methods in Mathematical Physics and Global Analysis by Daniel Grieser,Stefan Teufel,Andras Vasy Pdf

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.​

Author : Jurij E. Gliklich,Yu. E. Gliklikh
Publisher : Unknown
Page : 213 pages
File Size : 40,7 Mb
Release : 1993
Category : Differentialgeometrie - Hydrodynamik
ISBN : 3540548084

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Global Analysis in Mathematical Physics by Jurij E. Gliklich,Yu. E. Gliklikh Pdf

Author : Yuri E. Gliklikh
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 48,7 Mb
Release : 2010-12-07
Category : Mathematics
ISBN : 9780857291639

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Global and Stochastic Analysis with Applications to Mathematical Physics by Yuri E. Gliklikh Pdf

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.

Author : Demeter Krupka,David Saunders
Publisher : Elsevier
Page : 1243 pages
File Size : 46,8 Mb
Release : 2011-08-11
Category : Mathematics
ISBN : 9780080556734

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Handbook of Global Analysis by Demeter Krupka,David Saunders Pdf

This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics- Written by world-experts in the field- Up-to-date contents

Author : Yu. E. Gliklikh
Publisher : 清华大学出版社有限公司
Page : 214 pages
File Size : 46,7 Mb
Release : 2005
Category : Geometry, Differential
ISBN : 7302102015

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数学物理中的全局分析——几何及随机方法(天元基金影印系列丛书) by Yu. E. Gliklikh Pdf

Author : Jerrold E. Marsden
Publisher : Unknown
Page : 273 pages
File Size : 45,9 Mb
Release : 1993
Category : Global analysis (Mathematics)
ISBN : OCLC:315502319

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Applications of Global Analysis in Mathematical Physics by Jerrold E. Marsden Pdf

Author : Jerrold E. Marsden
Publisher : Unknown
Page : 292 pages
File Size : 55,5 Mb
Release : 1993
Category : Global analysis (Mathematics)
ISBN : UOM:39015033991004

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Applications of Global Analysis in Mathematical Physics by Jerrold E. Marsden Pdf

Author : Yuri Gliklikh
Publisher : Springer Science & Business Media
Page : 221 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461218661

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Global Analysis in Mathematical Physics by Yuri Gliklikh Pdf

The first edition of this book entitled Analysis on Riemannian Manifolds and Some Problems of Mathematical Physics was published by Voronezh Univer sity Press in 1989. For its English edition, the book has been substantially revised and expanded. In particular, new material has been added to Sections 19 and 20. I am grateful to Viktor L. Ginzburg for his hard work on the transla tion and for writing Appendix F, and to Tomasz Zastawniak for his numerous suggestions. My special thanks go to the referee for his valuable remarks on the theory of stochastic processes. Finally, I would like to acknowledge the support of the AMS fSU Aid Fund and the International Science Foundation (Grant NZBOOO), which made possible my work on some of the new results included in the English edition of the book. Voronezh, Russia Yuri Gliklikh September, 1995 Preface to the Russian Edition The present book is apparently the first in monographic literature in which a common treatment is given to three areas of global analysis previously consid ered quite distant from each other, namely, differential geometry and classical mechanics, stochastic differential geometry and statistical and quantum me chanics, and infinite-dimensional differential geometry of groups of diffeomor phisms and hydrodynamics. The unification of these topics under the cover of one book appears, however, quite natural, since the exposition is based on a geometrically invariant form of the Newton equation and its analogs taken as a fundamental law of motion.

Author : Ilka Agricola,Thomas Friedrich
Publisher : American Mathematical Soc.
Page : 362 pages
File Size : 53,8 Mb
Release : 2002
Category : Differential forms
ISBN : 9780821829516

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Global Analysis by Ilka Agricola,Thomas Friedrich Pdf

The final third of the book applies the mathematical ideas to important areas of physics: Hamiltonian mechanics, statistical mechanics, and electrodynamics." "There are many classroom-tested exercises and examples with excellent figures throughout. The book is ideal as a text for a first course in differential geometry, suitable for advanced undergraduates or graduate students in mathematics or physics."--BOOK JACKET.

Author : Björn Gustafsson,Alexander Vasil'ev
Publisher : Springer Science & Business Media
Page : 514 pages
File Size : 41,9 Mb
Release : 2009-10-02
Category : Mathematics
ISBN : 9783764399061

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Analysis and Mathematical Physics by Björn Gustafsson,Alexander Vasil'ev Pdf

Our knowledge of objects of complex and potential analysis has been enhanced recently by ideas and constructions of theoretical and mathematical physics, such as quantum field theory, nonlinear hydrodynamics, material science. These are some of the themes of this refereed collection of papers, which grew out of the first conference of the European Science Foundation Networking Programme 'Harmonic and Complex Analysis and Applications' held in Norway 2007.

Author : IU. E. Gliklikh
Publisher : Unknown
Page : 213 pages
File Size : 55,8 Mb
Release : 1997
Category : Geometry, Differential
ISBN : 7506259486

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数学物理中的整体分析 by IU. E. Gliklikh Pdf

本书是一本英文版的数学物理中的整体分析。

Author : Felix E. Browder
Publisher : American Mathematical Soc.
Page : 644 pages
File Size : 40,7 Mb
Release : 1992
Category : Mathematics
ISBN : 0821888544

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Nonlinear and Global Analysis by Felix E. Browder Pdf

This volume contains a number of research-expository articles that appeared in the Bulletin of the AMS between 1979 and 1984 and that address the general area of nonlinear functional analysis and global analysis and their applications. The central theme concerns qualitative methods in the study of nonlinear problems arising in applied mathematics, mathematical physics, and geometry. Since these articles first appeared, the methods and ideas they describe have been applied in an ever-widening array of applications. Readers will find this collection useful, as it brings together a range of influential papers by some of the leading researchers in the field.

Author : Jerrold E. Marsden
Publisher : Unknown
Page : 558 pages
File Size : 52,8 Mb
Release : 1973
Category : Functional analysis
ISBN : UOM:39015014363751

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Application of Global Analysis in Mathematical Physics by Jerrold E. Marsden Pdf

Author : H. Triebel
Publisher : Springer Science & Business Media
Page : 494 pages
File Size : 41,5 Mb
Release : 1987-01-31
Category : Mathematics
ISBN : 9027720770

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Analysis and Mathematical Physics by H. Triebel Pdf