Overview: 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 sThis is a small book on algebra where the stress is laid on the structure of ?elds, hence its title. Youwillhearaboutequations,bothpolynomialanddi?erential,andabout the algebraic structure of their solutions. For example, it has been known for centuries how to explicitely solve polynomial equations of degree 2 (Baby- nians, many centuries ago), 3 (Scipione del Ferro, Tartaglia, Cardan, a
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