Global Analysis and Its Applications PDF Download

Author:
Publisher:
ISBN:
Category : Global analysis (Mathematics)
Languages : en
Pages : 358

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Author: Jerrold E. Marsden
Publisher:
ISBN:
Category : Global analysis (Mathematics)
Languages : en
Pages : 292

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Book Description

Author: Andreas Kriegl
Publisher: American Mathematical Soc.
ISBN: 0821807803
Category : Global analysis (Mathematics).
Languages : en
Pages : 631

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Book Description
For graduate students and research mathematicians interested in global analysis and the analysis of manifolds, lays the foundations for a differential calculus in infinite dimensions and discusses applications in infinite-dimension differential geometry and global analysis not involving Sobolev completions and fixed-point theory. Shows how the notion of smoothness as mapping smooth curves to smooth curves coincides with all known reasonable concepts up to Frechet spaces. Then develops a calculus of holomorphic mappings, and another of real analytical mapping. Emphasizes regular infinite dimensional Lie groups. Annotation copyrighted by Book News, Inc., Portland, OR

Author: Yurii G. Borisovich
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Yuri E. Gliklikh
Publisher: Springer Science & Business Media
ISBN: 9780857291639
Category : Mathematics
Languages : en
Pages : 436

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Book Description
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: Y. G. Borisovich
Publisher:
ISBN: 9783662199541
Category :
Languages : en
Pages : 316

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Author: Yu. G. Borisovich
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Ilka Agricola
Publisher: American Mathematical Soc.
ISBN: 0821829513
Category : Differential forms
Languages : en
Pages : 362

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Book Description
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: Yurii G. Borisovich
Publisher:
ISBN: 9783662164556
Category :
Languages : en
Pages : 284

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Book Description

Author: Demeter Krupka
Publisher: Elsevier
ISBN: 0080556736
Category : Mathematics
Languages : en
Pages : 1243

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Book Description
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