Richard A. Mollin

Algebraic Number Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

Bringing the material up to date to reflect modern applications, this second edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. It offers a more complete and involved treatment of Galois theory, a more comprehensive section on Pollard's cubic factoring algorithm, and more detailed explanations of proofs to provide a sound understanding of challenging material. This edition also studies binary quadratic forms and compares the ideal and form class groups. The text includes convenient cross-referencing, a comprehensive index, and numerous exercises and applications.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 442
• Erscheinungstermin: 5. Januar 2011
• Englisch
• ISBN-13: 9781439845998
• Artikelnr.: 57533331

Autorenporträt

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).

Inhaltsangabe

Integral Domains, Ideals, and Unique Factorization. Field Extensions. Class
Groups. Applications: Equations and Sieves. Ideal Decomposition in Number
Fields. Reciprocity Laws. Appendices. Bibliography. Solutions to
Odd-Numbered Exercises. Index.