000			01516pam a2200193a 44500
008			160408b2001 xxu||||| |||| 00| 0 eng d
020			_a0521004233;9780521004237
040			_cIIT Kanpur
041			_aeng
082			_a512.74 _bSw64b
100			_aSwinnerton-Dyer, H. P. F.
245	1		_aA brief guide to algebraic number theory _cH. P. F. Swinnerton-Dyer
260			_bCambridge University Press _c2001 _aCambridge
300			_aix, 146p
440			_aLondon mathematical society student texts; no.50
520			_aThis 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.
650			_aAlgebraic number theory
942			_cBK
999			_c343070 _d343070