Algebraic number theory. (2011)

• Record Type: Book
• Further Information: Note: Richard A. Mollin.
• Authors: Mollin, Richard A
• Contents: Integral Domains, Ideals, and Unique Factorization; Integral Domains; Factorization Domains; Ideals; Noetherian and Principal Ideal Domains; Dedekind Domains; Algebraic Numbers and Number Fields; Quadratic Fields Field Extensions ; Automorphisms, Fixed Points, and Galois Groups; Norms and Traces; Integral Bases and Discriminants; Norms of Ideals Class Groups ; Binary Quadratic Forms; Forms and Ideals; Geometry of Numbers and the Ideal Class Group; Units in Number Rings; Dirichlet’s Unit Theorem Applications: Equations and Sieves; Prime Power Representation; Bachet’s Equation; The Fermat Equation; Factoring; The Number Field Sieve Ideal Decomposition in Number Fields ; Inertia, Ramification, and Splitting of Prime Ideals; The Different and Discriminant; Ramification; Galois Theory and Decomposition; Kummer Extensions and Class-Field Theory; The Kronecker–Weber Theorem; An Application—Primality Testing Reciprocity Laws ; Cubic Reciprocity; The Biquadratic Reciprocity Law; The Stickelberger Relation; The Eisenstein Reciprocity Law Appendix A: Abstract Algebra ; Appendix B: Sequences and Series; Appendix C: The Greek Alphabet; Appendix D: Latin Phrases Bibliography Solutions to Odd-Numbered Exercises Index
• Publisher Details: Boca Raton, Florida : CRC Press
• Publication Date: 2011
• Copyright Date: 2011
• Extent: 1 online resource (424 pages), illustrations
• Subjects: 512.7/4; Algebraic number theory; Algebraic number theory; Electronic books
• Languages: English
• ISBNs: 9781439845998; 1439845999; 1439845980; 9781439845981
• Related ISBNs: 9781439845981
• Notes: Note: Includes bibliographical references.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.