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Focused on advanced mathematical concepts, this book covers the fundamental theory of fields, starting with polynomials over a ring and progressing through topics like the division algorithm and field extensions. It delves into Galois theory in the second section, followed by an exploration of binomial theory. The final chapter addresses families of binomials, specifically the Kummer theory, making it a comprehensive resource for graduate students or those studying independently.
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Field Theory, Steven Roman
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- Année de publication
- 2011
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