Handbook of Global Analysis - Tapa dura

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This book provides a comprehensive exposition of modern global analysis and geometrical mathematical physics. It covers a broad range of topics included in the American Mathematical Society s classification Global Analysis?. The contributions are from world experts in the field, each providing an up-to-date perspective on its subject with references for readers who wish to undertake further detailed study.
The book will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.
Featured topics:
- 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.|This book provides a comprehensive exposition of modern global analysis and geometrical mathematical physics. It covers a broad range of topics included in the American Mathematical Society s classification Global Analysis. The contributions are from world experts in the field, each providing an up-to-date perspective on its subject with references for readers who wish to undertake further detailed study.
The book will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.
Featured topics:
- 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.