Global Analysis Analysis On Manifolds
Download Global Analysis Analysis On Manifolds full books in PDF, epub, and Kindle. Read online free Global Analysis Analysis On Manifolds ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Global Analysis Analysis on Manifolds
Author | : Themistocles M. Rassias,Marston Morse |
Publsiher | : Unknown |
Total Pages | : 388 |
Release | : 1983 |
Genre | : Calculus of variations |
ISBN | : UOM:39015015609418 |
Download Global Analysis Analysis on Manifolds Book in PDF, Epub and Kindle
Global Analysis on Open Manifolds
Author | : Jürgen Eichhorn |
Publsiher | : Nova Publishers |
Total Pages | : 664 |
Release | : 2007 |
Genre | : Global analysis (Mathematics). |
ISBN | : 1600215637 |
Download Global Analysis on Open Manifolds Book in PDF, Epub and Kindle
Global analysis is the analysis on manifolds. Since the middle of the sixties there exists a highly elaborated setting if the underlying manifold is compact, evidence of which can be found in index theory, spectral geometry, the theory of harmonic maps, many applications to mathematical physics on closed manifolds like gauge theory, Seiberg-Witten theory, etc. If the underlying manifold is open, i.e. non-compact and without boundary, then most of the foundations and of the great achievements fail. Elliptic operators are no longer Fredholm, the analytical and topological indexes are not defined, the spectrum of self-adjoint elliptic operators is no longer discrete, functional spaces strongly depend on the operators involved and the data from geometry, many embedding and module structure theorems do not hold, manifolds of maps are not defined, etc. It is the goal of this new book to provide serious foundations for global analysis on open manifolds, to discuss the difficulties and special features which come from the openness and to establish many results and applications on this basis.
Handbook of Global Analysis
Author | : Demeter Krupka,David Saunders |
Publsiher | : Elsevier |
Total Pages | : 1243 |
Release | : 2011-08-11 |
Genre | : Mathematics |
ISBN | : 9780080556734 |
Download Handbook of Global Analysis Book in PDF, Epub and Kindle
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
Analysis On Manifolds
Author | : James R Munkres |
Publsiher | : Addison Wesley Publishing Company |
Total Pages | : 392 |
Release | : 1991-07-21 |
Genre | : Mathematics |
ISBN | : UOM:39076001042295 |
Download Analysis On Manifolds Book in PDF, Epub and Kindle
The Convenient Setting of Global Analysis
Author | : Andreas Kriegl,Peter W. Michor |
Publsiher | : American Mathematical Soc. |
Total Pages | : 631 |
Release | : 1997 |
Genre | : Global analysis (Mathematics). |
ISBN | : 9780821807804 |
Download The Convenient Setting of Global Analysis Book in PDF, Epub and Kindle
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
Differential Analysis on Complex Manifolds
Author | : Raymond O. Wells |
Publsiher | : Springer Science & Business Media |
Total Pages | : 315 |
Release | : 2007-10-31 |
Genre | : Mathematics |
ISBN | : 9780387738918 |
Download Differential Analysis on Complex Manifolds Book in PDF, Epub and Kindle
A brand new appendix by Oscar Garcia-Prada graces this third edition of a classic work. In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Wells’s superb analysis also gives details of the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. Oscar Garcia-Prada’s appendix gives an overview of the developments in the field during the decades since the book appeared.
Stochastic Analysis on Manifolds
Author | : Elton P. Hsu |
Publsiher | : American Mathematical Soc. |
Total Pages | : 297 |
Release | : 2002 |
Genre | : Differential geometry |
ISBN | : 9780821808023 |
Download Stochastic Analysis on Manifolds Book in PDF, Epub and Kindle
Concerned with probability theory, Elton Hsu's study focuses primarily on the relations between Brownian motion on a manifold and analytical aspects of differential geometry. A key theme is the probabilistic interpretation of the curvature of a manifold
Introduction to Global Analysis
Author | : Donald W. Kahn |
Publsiher | : Courier Corporation |
Total Pages | : 352 |
Release | : 2013-11-07 |
Genre | : Mathematics |
ISBN | : 0486152294 |
Download Introduction to Global Analysis Book in PDF, Epub and Kindle
This text introduces the methods of mathematical analysis as applied to manifolds, including the roles of differentiation and integration, infinite dimensions, Morse theory, Lie groups, and dynamical systems. 1980 edition.