I am trying to study a little of algebraic cobordism and I lack background from the classic setting. Hence, I am looking for a textbook or expository writing covering the basics of complex cobordism.
Do you know any suitable reference for the basics of complex cobordism?
If possible, I would like the reference to cover a particular result. Let $E$ be a spectrum representing a cohomology theory and $MU$ the spectrum representing complex cobordism. As an analogy with the algebraic case, it should hold that $$ E^*(MU)\simeq E^*(pt)[[c_1,c_2, \ldots]] $$ where $c_i$ are the universal Chern classes. In other words, $E^*(MU)\simeq E^*(Gr)$ where $Gr$ denotes the infinite Grassmanian. If possible, I would like the reference to cover such result and its surroundings.