TY - BOOK AU - Alaca,Şaban AU - Williams,Kenneth S. TI - Introductory algebraic number theory SN - 0521832500 AV - QA247 .A43 2012 U1 - 512/.74 21 PY - 2012/// CY - Cambridge, New York PB - Cambridge University Press KW - Algebraic number theory KW - Textbooks KW - Electronic books N1 - Includes bibliographical references (p. 423-424) and 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 N2 - Suitable for senior undergraduates and beginning graduate students in mathematics, this book is an introduction to algebraic number theory at an elementary level. Prerequisites are kept to a minimum, and numerous examples illustrating the material occur throughout the text. References to suggested readings and to the biographies of mathematicians who have contributed to the development of algebraic number theory are provided at the end of each chapter. Other features include over 320 exercises, an extensive index, and helpful location guides to theorems in the text UR - https://www.cambridge.org/core/books/introductory-algebraic-number-theory/9F53B233CD4D717B1A31ECD117FFEA7D ER -