Field and Galois Theory

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The book originated from lecture notes created during a graduate course on field theory at New Mexico State University, reflecting the author's passion for the subject. After three years of refinement, the notes were transformed into a comprehensive textbook tailored to the unique structure of the university's graduate algebra sequence, which begins with field theory. This focus addresses the challenges students face when transitioning from group and ring theory and aims to provide a complete resource that surpasses existing field theory texts in depth and clarity.