Smooth Manifolds by Claudio GorodskiEnglish | PDF,EPUB | 2020 | 162 Pages | ISBN : 3030497747 | 9.1 MB
This concise and practical textbook presents the essence of the theory on smooth manifolds. A key concept in mathematics, smooth manifolds are ubiquitous: They appear as Riemannian manifolds in differential geometry; as space-times in general relativity; as phase spaces and energy levels in mechanics; as domains of definition of ODEs in dynamical systems; as Lie groups in algebra and geometry; and in many other areas.