Şaban Alaca; Kenneth S Williams ; Kenneth S Williams creator Şaban Alaca; Kenneth S Williams text xxu Cambridge ; New York : Cambridge University Press , 2004 monographic eng

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xvii, 428 pages ;24 cm. An introduction to algebraic number theory for senior undergraduates and beginning graduate students in mathematics. It includes numerous examples, and references to further reading and to biographies of mathematicians who have contributed to the development of the subject. Includes over 320 exercises, and an extensive index. Integral domains -- Euclidean domains -- Noetherian domains -- Elements integral over a domain -- Algebraic extensions of a field -- Algebraic number fields -- Integral bases -- Dedekind domains -- Norms of ideals -- Decomposing primes in a number field -- Units in real quadratic fields -- The ideal class group -- Dirichlet's unit theorem -- Applications to diophantine equations. /Şaban Alaca; Kenneth S Williams 512.74 ALA 9780521540117 Brijwasi Book Distributors ;H-87,Lalita Park ,Laxmi Nagar,Delhi-110092 180410 20180410154751.0