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Bringing the material up to date to reflect modern applications, Algebraic Number Theory, Second Edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. This edition focuses on integral domains, ideals, and unique factorization in the first chapter; field extensions in the second chapter; and class groups in the third chapter. Applications are now collected in chapter four and at the end of chapter five, where primality testing is highlighted as an application of the Kronecker–Weber theorem. In chapter five, the sections on ideal decomposition in number fields have been more evenly distributed. The final chapter continues to cover reciprocity laws.
New to the Second Edition
- Reorganization of all chapters
- More complete and involved treatment of Galois theory
- A study of binary quadratic forms and a comparison of the ideal and form class groups
- More comprehensive section on Pollard’s cubic factoring algorithm
- More detailed explanations of proofs, with less reliance on exercises, to provide a sound understanding of challenging material
The book includes mini-biographies of notable mathematicians, convenient cross-referencing, a comprehensive index, and numerous exercises. The appendices present an overview of all the concepts used in the main text, an overview of sequences and series, the Greek alphabet with English transliteration, and a table of Latin phrases and their English equivalents.
Suitable for a one-semester course, this accessible, self-contained text offers broad, in-depth coverage of numerous applications. Readers are lead at a measured pace through the topics to enable a clear understanding of the pinnacles of algebraic number theory.
Richard A. Mollin is a professor in the Department of Mathematics and Statistics at the University of Calgary. In the past twenty-five years, Dr. Mollin has founded the Canadian Number Theory Association and has been awarded six Killam Resident Fellowships. He has written more than 200 publications, including Advanced Number Theory with Applications (CRC Press, August 2009), Fundamental Number Theory with Applications, Second Edition (CRC Press, February 2008), An Introduction to Cryptography, Second Edition (CRC Press, September 2006), Codes: The Guide to Secrecy from Ancient to Modern Times (CRC Press, May 2005), and RSA and Public-Key Cryptography (CRC Press, November 2002).
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- ÉditeurChapman & Hall/CRC
- Date d'édition2011
- ISBN 10 1439845980
- ISBN 13 9781439845981
- ReliureRelié
- Numéro d'édition2
- Nombre de pages442
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Algebraic Number Theory, Second Edition (Discrete Mathematics and its Applications)
Edité par
Chapman and Hall/CRC 2011-01-18
(2011)
ISBN 10 : 1439845980
ISBN 13 : 9781439845981
Neuf
Couverture rigide
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Description du livre Hardcover. Etat : New. N° de réf. du vendeur 6666-TNFPD-9781439845981
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Algebraic Number Theory
Edité par
CRC Press
(2011)
ISBN 10 : 1439845980
ISBN 13 : 9781439845981
Neuf
Couverture rigide
Quantité disponible : 2
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Description du livre Buch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - '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'--. N° de réf. du vendeur 9781439845981
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Algebraic Number Theory
Edité par
CRC Press
(2011)
ISBN 10 : 1439845980
ISBN 13 : 9781439845981
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Description du livre Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Richard A. Mollin is a professor in the Department of Mathematics and Statistics at the University of Calgary. In the past twenty-five years, Dr. Mollin has founded the Canadian Number Theory Association and has been awarded six Killam R. N° de réf. du vendeur 595835033
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Algebraic Number Theory, Second Edition
Edité par
Chapman & Hall
(2011)
ISBN 10 : 1439845980
ISBN 13 : 9781439845981
Neuf
Couverture rigide
Quantité disponible : 1
Vendeur :
Evaluation vendeur
Description du livre Hardcover. Etat : Brand New. 2nd edition. 442 pages. 10.00x7.00x1.20 inches. In Stock. N° de réf. du vendeur __1439845980
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