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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.
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Field Theory, Steven Roman
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- Année de publication
- 2005
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