(Ebook) A Brief Guide to Algebraic Number Theory (London Mathematical Society Student Texts) by Swinnerton-Dyer, H.P. F. ISBN 9780521004237, 0521004233

(Ebook) A Brief Guide to Algebraic Number Theory (London Mathematical Society Student Texts) by Swinnerton-Dyer, H.P. F. ISBN 9780521004237, 0521004233

This account of Algebraic Number
Theory 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.