Grothendieck groups and \(K_0\) Higher algebraic \(K\)-theory \(K\)-theory and operator algebras \(K\)-theory in geometry \(K\)-theory in number theory \(K\)-theory of forms Miscellaneous applications of \(K\)-theory Obstructions from topology Steinberg groups and \(K_2\) Topological \(K\)-theory Whitehead groups and \(K_1\)