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| HANDBOOK OF GLOBAL ANALYSIS
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Edited By
Demeter Krupka, Palacky University, Department of Algebra and Geometry, Olomouc, Czech Republic
David Saunders, Visiting professor, Palacky University, Olomouc, Czech Republic
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.
Audience
This book is suitable for university mathematics departments, libraries and students in mathematics and mathematical physics.
Contents
Preface
Contents
1. Global aspects of Finsler geometry (T. Aikou and L. Kozma)
2. Morse theory and nonlinear differential equations
(T. Bartsch, A. Szulkin and M. Willem)
3. Index theory (D. Bleecker)
4. Partial differential equations on closed and open manifolds
(J. Eichhorn)
5. Spectral geometry (P. Gilkey)
6. Lagrangian formalism on Grassmann manifolds (D.R. Grigore)
7. Sobolev spaces on
manifolds (E. Hebey and F. Robert)
8. Harmonic maps (F. Helein and J.C. Wood)
9. Topology of differentiable mappings (K. Houston)
10.
Group actions and Hilbert's fifth problem (S. Illman)
11. Exterior differential systems (N. Kamran)
12. Weil bundles as generalized jet
spaces (I. Kolar)
13. Distributions, vector distributions, and immersions of manifolds in Euclidean spaces (J. Korbas)
14. Geometry of
differential equations (B. Kruglikov and V. Lychagin)
15. Global variational theory in fibred spaces (D. Krupka)
16. Second Order Ordinary
Differential Equations in Jet Bundles and the Inverse Problem of the Calculus of Variations (O. Krupkova and G.E. Prince)
17. Elements
of noncommutative geometry (G. Landi)
18. De Rham cohomology (M.A. Malakhaltsev)
19. Topology of manifolds with corners (J. Margalef-Roig
and E. Outerelo Dominguez)
20. Jet manifolds and natural bundles (D.J. Saunders)
21. Some aspects of differential theories (J. Szilasi
and R.L. Lovas)
22. Variational sequences (R. Vitolo)
23. The Oka-Grauert-Gromov principle for holomorphic bundles (P-M. Wong)
A. Abstracts
| Bibliographic details |
Hardbound, 1244 pages, publication date: NOV-2007
ISBN-13: 978-0-444-52833-9
ISBN-10: 0-444-52833-4
Imprint: ELSEVIER
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| Price and Ordering |
Price:
USD 270
GBP 183
EUR 215.95
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Last update: 5 Sep 2009
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