Field Theory

Focusing on advanced mathematical concepts, this book covers the fundamental theory of fields, starting with polynomials over a ring and progressing through the division algorithm, irreducibility, field extensions, and embeddings. It then delves into Galois theory, followed by a dedicated section on the theory of binomials. The final chapter explores families of binomials, culminating in the Kummer theory, making it suitable for graduate courses or independent study in mathematics.