Number Fields by Daniel A. Marcus
A concise introduction to algebraic number theory that develops the arithmetic of finite extensions of Q: the ring of integers, unique factorization of ideals and Dedekind domain structure, decomposition and ramification of primes, ideal class group and class number, Dirichlet’s unit theorem, and Minkowski’s geometry of numbers with applications; presented with many concrete examples, computations and exercises to build intuition and to connect abstract theorems with explicit calculations in quadratic and higher-degree number fields.
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- English
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