If I were a Springer-Verlag Graduate Text in Mathematics, I would be Frank Warner’s 
Foundations of Differentiable Manifolds and Lie Groups.
I give a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. I include differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provide a proof of the de Rham theorem via sheaf cohomology theory, and develop the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find me extremely useful.
Which Springer GTM would you be? The Springer GTM Test
Yo también soy el mismo libro.
Sospecho que hubo un momento, no hace tanto, cuando hubiéramos podido hacer cualquier ejercicio de ese libro.
Lo dudo… yo nunca aprendi Lie Groups. Apenas tome el curso basico de geometria diferencial, y creo que al final ni siquiera tome el comp porque saque una B+ raspada. En cambio, si hubo un momento en el tiempo en el que habriamos podido resolver cualquier problema de analisis complejo; con los ojos cerrados y las manos atadas en la espalda. Good times, good times…