Book Review: Algebraic Number Theory

The Book Review Column 1 a Course in Computational Algebraic Number Theory

4. Derivation and Computation: taking the Curry-Howard correspondence seriously by Harold Simmons. Review by Robert J. Irwin. My short description can do no better than to quote the review itself: Simmons’s text, whose thrust is pedagogical, intends to be a notquite-one-stop-shopping experience for readers interested in the interplay between the kinds of symbol-pushing undertaken in logic and i...

Lemmermeyer Algebraic Number Theory

Algebraic Number Theory

These are the notes for a course taught at the University of Michigan in F92 as Math 676. They are available at www.math.lsa.umich.edu/∼jmilne/. Please send comments and corrections to me at [email protected]. v2.01 (August 14, 1996.) First version on the web. v2.10 (August 31, 1998.) Fixed many minor errors; added exercises and index.

Algebraic Number Theory

2 Arithmetic in an algebraic number field 30 2.1 Finitely generated abelian groups . . . . . . . . . . . . . . . . . . 30 2.2 The splitting field and the discriminant . . . . . . . . . . . . . . 31 2.3 Number fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 2.4 The ring of integers . . . . . . . . . . . . . . . . . . . . . . . . . . 39 2.5 Ideals . . . . . . . . . . . . . . ....

Algebraic Number Theory