Antoine Chambert-Loir is Professor at Université de Rennes 1.

This book has a nonstandard choice of topics, including material on differential galois groups and proofs of the transcendence of e and pi.

The author uses a conversational tone and has included a selection of stamps to accompany the text.

Field extensions.- Roots.- Galois theory.- A bit of group theory.- Applications.- Algebraic theory of differential equations.