Springer Undergraduate Mathematics Series
Springer Undergraduate Mathematics Series
This book provides a gentle introduction to Galois theory suitable for third- and fourth-year undergraduates and beginning graduates. The approach is unashamedly unhistorical: it uses the language and techniques of abstract algebra to express complex arguments in contemporary terms. Thus the insolubility of the quintic by radicals is linked to the fact that the alternating group of degree 5 is simple - which is assuredly not the way Galois would have expressed the connection.
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Taking a more 'natural' approach and developing the theory at a gentle pace with an emphasis on clear explanations, this title features worked examples and exercises, complete with solutions, to encourage independent study.
