A brief guide to algebraic number theory
By: Swinnerton-Dyer, H. P. F.
Material type:
BookSeries: London mathematical society student texts; no.50. Publisher: Cambridge Cambridge University Press 2001Description: ix, 146p.ISBN: 0521004233;9780521004237.Subject(s): Algebraic number theoryDDC classification: 512.74 | Sw64b Summary: This is a 2001 account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. It is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most such students are likely to need; others who need the material will also find it accessible. It assumes no prior knowledge of the subject, but a firm basis in the theory of field extensions at an undergraduate level is required, and an appendix covers other prerequisites. The book covers the two basic methods of approaching Algebraic Number Theory, using ideals and valuations, and includes material on the most usual kinds of algebraic number field, the functional equation of the zeta function and a substantial digression on the classical approach to Fermat's Last Theorem, as well as a comprehensive account of class field theory. Many exercises and an annotated reading list are also included.
| Item type | Current location | Collection | Call number | url | Status | Date due | Barcode | Item holds |
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Books
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PK Kelkar Library, IIT Kanpur | General Stacks | 512.74 Sw64b (Browse shelf) | Available | A184560 | |||
Lost
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PK Kelkar Library, IIT Kanpur | Lost | 512.74 SW64B (Browse shelf) | Not for loan | A134053 |
Browsing PK Kelkar Library, IIT Kanpur Shelves , Collection code: General Stacks Close shelf browser
| 512.74 Sch65c Catalan's conjecture | 512.74 Se68lE Local fields | 512.74 SI93 CERTAIN NUMBER-THEORETIC EPISODES IN ALGEBRA | 512.74 Sw64b A brief guide to algebraic number theory | 512.74 V465H2 THE HARDY--LITTLEWOOD METHOD | 512.74076 Es55p Problems in algebraic number theory | 512.8 Ar78g2 GALOIS THEORY |
This is a 2001 account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. It is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most such students are likely to need; others who need the material will also find it accessible. It assumes no prior knowledge of the subject, but a firm basis in the theory of field extensions at an undergraduate level is required, and an appendix covers other prerequisites. The book covers the two basic methods of approaching Algebraic Number Theory, using ideals and valuations, and includes material on the most usual kinds of algebraic number field, the functional equation of the zeta function and a substantial digression on the classical approach to Fermat's Last Theorem, as well as a comprehensive account of class field theory. Many exercises and an annotated reading list are also included.
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