Exploratory Galois Theory

Combining a concrete perspective with an exploration-based approach, this text develops Galois theory at an entirely undergraduate level. The text grounds the p... » 

Combining a concrete perspective with an exploration-based approach, this text develops Galois theory at an entirely undergraduate level. The text grounds the presentation in the concept of algebraic numbers with complex approximations. The author organizes the theory around natural questions about algebraic numbers, and exercises with hints and proof sketches encourage students'participation in the development. «