02130nam a2200361Ia 4500 CAH0KE12028PDF FlBoTFG 20171224123816.0 m|||||o||d|||||||| cr|||| 110413s2011 flu sb 001 0 eng d 9781439845998 (ebook : PDF) FlBoTFG FlBoTFG QA247 .M63 2011 512.74 M726 Mollin, Richard A., 1947- Algebraic number theory [electronic resource] / Richard A. Mollin. 2nd ed. Boca Raton : Chapman and Hall/CRC, 2011. xvi, 426 p. Discrete mathematics and its applications "The second edition of this popular book features coverage of L-functions and function fields to provide a more modern view of the field. This edition also introduces class groups for both binary and quadratic forms, making it much easier to prove the finiteness of the class number of both groups via an isomorphism. In addition, the text provides new results on the relationship between quadratic residue symbols and fundamental units of real quadratic fields in conjunction with prime representation. Along with reorganizing and shortening chapters for an easier presentation of material, the author includes updated problem sets and additional examples"-- Provided by publisher. Includes bibliographical references and index. "A Chapman & Hall book." 1. Integral domains, ideals, and unique factorization -- 2. Field extensions -- 3. Class groups -- 4. Applications : equations and sieves -- 5. Ideal decomposition in number fields -- 6. Reciprocity laws. Also available in print edition. Mode of access: World Wide Web. Algebraic number theory. Electronic books. lcsh 9781439845981 Discrete mathematics and its applications. http://marc.crcnetbase.com/isbn/9781439845998 application/PDF Distributed by publisher. Purchase or institutional license may be required for access. 15794 15794