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- Global_analysis abstract "In mathematics, global analysis, also called analysis on manifolds, is the study of the global and topological properties of differential equations on manifolds and vector space bundles. Global analysis uses techniques in infinite-dimensional manifold theory and topological spaces of mappings to classify behaviors of differential equations, particularly nonlinear differential equations. These spaces can include singularities and hence catastrophe theory is a part of global analysis. Optimization problems, such as finding geodesics on Riemannian manifolds, can be solved using differential equations so that the calculus of variations overlaps with global analysis. Global analysis finds application in physics in the study of dynamical systems and topological quantum field theory.".
- Global_analysis wikiPageExternalLink globalanalysisshort.pdf.
- Global_analysis wikiPageID "42027498".
- Global_analysis wikiPageLength "2426".
- Global_analysis wikiPageOutDegree "25".
- Global_analysis wikiPageRevisionID "696322216".
- Global_analysis wikiPageWikiLink Annals_of_Global_Analysis_and_Geometry.
- Global_analysis wikiPageWikiLink Atiyah–Singer_index_theorem.
- Global_analysis wikiPageWikiLink Calculus_of_variations.
- Global_analysis wikiPageWikiLink Catastrophe_theory.
- Global_analysis wikiPageWikiLink Category:Differential_equations.
- Global_analysis wikiPageWikiLink Category:Manifolds.
- Global_analysis wikiPageWikiLink Category:Mathematical_analysis.
- Global_analysis wikiPageWikiLink Differential_equation.
- Global_analysis wikiPageWikiLink Dynamical_system.
- Global_analysis wikiPageWikiLink Geodesic.
- Global_analysis wikiPageWikiLink Geometric_analysis.
- Global_analysis wikiPageWikiLink Harmonic_maps.
- Global_analysis wikiPageWikiLink Lie_groupoid.
- Global_analysis wikiPageWikiLink Manifold.
- Global_analysis wikiPageWikiLink Mathematics.
- Global_analysis wikiPageWikiLink Morse_theory.
- Global_analysis wikiPageWikiLink Optimization_problem.
- Global_analysis wikiPageWikiLink Physics.
- Global_analysis wikiPageWikiLink Pseudogroup.
- Global_analysis wikiPageWikiLink Riemannian_manifold.
- Global_analysis wikiPageWikiLink Singularity_(mathematics).
- Global_analysis wikiPageWikiLink Structural_stability.
- Global_analysis wikiPageWikiLink The_Journal_of_Geometric_Analysis.
- Global_analysis wikiPageWikiLink Topological_quantum_field_theory.
- Global_analysis wikiPageWikiLink Vector_bundle.
- Global_analysis wikiPageWikiLinkText "Global Analysis".
- Global_analysis wikiPageWikiLinkText "Global analysis".
- Global_analysis wikiPageWikiLinkText "analysis".
- Global_analysis wikiPageWikiLinkText "global analysis".
- Global_analysis wikiPageWikiLinkText "global".
- Global_analysis wikiPageUsesTemplate Template:Reflist.
- Global_analysis subject Category:Differential_equations.
- Global_analysis subject Category:Manifolds.
- Global_analysis subject Category:Mathematical_analysis.
- Global_analysis hypernym Study.
- Global_analysis type Book.
- Global_analysis comment "In mathematics, global analysis, also called analysis on manifolds, is the study of the global and topological properties of differential equations on manifolds and vector space bundles. Global analysis uses techniques in infinite-dimensional manifold theory and topological spaces of mappings to classify behaviors of differential equations, particularly nonlinear differential equations. These spaces can include singularities and hence catastrophe theory is a part of global analysis.".
- Global_analysis label "Global analysis".
- Global_analysis sameAs Q17017346.
- Global_analysis sameAs m.0_v3lcr.
- Global_analysis sameAs Глобальный_анализ.
- Global_analysis sameAs Q17017346.
- Global_analysis wasDerivedFrom Global_analysis?oldid=696322216.
- Global_analysis isPrimaryTopicOf Global_analysis.