Introduction to Smooth Manifolds

New edition extensively revised and clarified, and topics have been substantially rearranged Introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, much earlier in the text Added topics include Sard’s theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures Includes supplementary material: sn.pub/extras Includes supplementary material: sn.pub/extras