According to G. H. Hardy, the 'real' mathematics of the greats like Fermat and Euler is 'useless,' and thus the work of mathematicians should not be judged on i

Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent d

New edition includes extensive revisions of the material on finite groups and Galois Theory. New problems added throughout.

With contributions by numerous experts