Global analysis is a branch of mathematics that deals with the study of functions, curves, surfaces, and other mathematical objects on a global scale. This means that instead of focusing on local properties of these objects, global analysis looks at how they behave over an entire domain or manifold. Global analysis is used in various fields of mathematics, including differential geometry, complex analysis, and partial differential equations. It often involves techniques from topology, differential geometry, and differential equations to study the global properties of mathematical objects. Some common topics in global analysis include the study of differential forms, manifolds, and vector fields, as well as the analysis of global properties of functions and their integrals. Overall, global analysis provides a powerful framework for understanding the behavior of mathematical objects on a large scale.