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A brief guide to algebraic number theory

By: Swinnerton-Dyer, H. P. F.
Material type: materialTypeLabelBookSeries: 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.
List(s) this item appears in: New arrival August 05 to 12, 2019
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Item type Current location Collection Call number url Status Date due Barcode Item holds
Books Books P K Kelkar Library, IIT Kanpur
General Stacks 512.74 Sw64b (Browse shelf) Available A184560
Lost Lost P K Kelkar Library, IIT Kanpur
Lost 512.74 SW64B (Browse shelf) Not for loan A134053
Total holds: 0

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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