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Algebraic number theory[electronic r...
~
Mollin, Richard A., (1947-)
Algebraic number theory[electronic resource] /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
杜威分類號:
512.7/4
書名/作者:
Algebraic number theory/ Richard A. Mollin.
作者:
Mollin, Richard A.,
出版者:
Boca Raton, FL : : Chapman and Hall/CRC,, c2011.
面頁冊數:
1 online resource (xvi, 426 p.) : : ill.
標題:
Algebraic number theory.
ISBN:
9781439845998 (electronic bk.)
ISBN:
1439845999 (electronic bk.)
書目註:
Includes bibliographical references and index.
內容註:
Integral domains, ideals, and unique factorization -- Field extensions -- Class groups -- Applications: equations and sieves -- Ideal decomposition in number fields -- Reciprocity laws.
摘要、提要註:
"The second edition of this popular book features coverage of Lfunctions 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.
電子資源:
http://www.crcnetbase.com/isbn/978-1-4398-4598-1
Algebraic number theory[electronic resource] /
Mollin, Richard A.,1947-
Algebraic number theory
[electronic resource] /Richard A. Mollin. - 2nd ed. - Boca Raton, FL :Chapman and Hall/CRC,c2011. - 1 online resource (xvi, 426 p.) :ill. - Discrete mathematics and its applications. - CRC Press series on discrete mathematics and its applications..
Includes bibliographical references and index.
Integral domains, ideals, and unique factorization -- Field extensions -- Class groups -- Applications: equations and sieves -- Ideal decomposition in number fields -- Reciprocity laws.
"The second edition of this popular book features coverage of Lfunctions 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.
ISBN: 9781439845998 (electronic bk.)Subjects--Topical Terms:
559122
Algebraic number theory.
Index Terms--Genre/Form:
336502
Electronic books.
LC Class. No.: QA247 / .M63 2011
Dewey Class. No.: 512.7/4
Algebraic number theory[electronic resource] /
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2nd ed.
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Boca Raton, FL :
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Chapman and Hall/CRC,
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c2011.
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1 online resource (xvi, 426 p.) :
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ill.
490
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Discrete mathematics and its applications
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Includes bibliographical references and index.
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Integral domains, ideals, and unique factorization -- Field extensions -- Class groups -- Applications: equations and sieves -- Ideal decomposition in number fields -- Reciprocity laws.
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"The second edition of this popular book features coverage of Lfunctions 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.
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Description based on print version record.
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Algebraic number theory.
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559122
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Electronic books.
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CRC Press series on discrete mathematics and its applications.
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http://www.crcnetbase.com/isbn/978-1-4398-4598-1
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