这本完备的代数数论综合教材对高等数学本科和研究生很有用。这本书讨论了几乎所有代数数论的基本重要定理的证明，包括关于素数分裂的德金定理、狄里克莱单位定理、明科夫斯基凸体定理、德金判别定理、埃尔米特判别定理、狄里克莱类数公式和关于算术级数中素数的迪里克莱定理。从这些结果中产生的一些研究问题，以及在每个问题的方向上取得的进展。
A Textbook of Algebraic Number Theory
This self-contained and comprehensive textbook of algebraic number theory is useful for advanced undergraduate and graduate students of mathematics. The book discusses proofs of almost all basic significant theorems of algebraic number theory including Dedekind’s theorem on splitting of primes, Dirichlet’s unit theorem, Minkowski’s convex body theorem, Dedekind’s discriminant theorem, Hermite’s theorem on discriminant, Dirichlet’s class number formula, and Dirichlet’s theorem on primes in arithmetic progressions. A few research problems arising out of these results are mentioned together with the progress made in the direction of each problem.
OR
