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A Textbook of Algebraic Number Theory (UNITEXT, 135)
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 Dedekinds theorem on splitting of primes, Dirichlets unit theorem, Minkowskis convex body theorem, Dedekinds discriminant theorem, Hermites theorem on discriminant, Dirichlets class number formula, and Dirichlets 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. Read more