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...
This account of Algebraic Number Theory is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most...
At the intersection of classical algebraic geometry and number theory, arithmetic geometry studies algebraic varieties through arbitrary rings. This volume collates written-up lecture notes from the 2007 ACIME summer school and covers numerous relevant topics.
At the intersection of classical algebraic geometry and number theory, arithmetic geometry studies algebraic varieties through arbitrary rings. This v...
