Book Review: Algorithmic 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...

Chapter Outline for Algorithmic Game Theory Book

The focus will be on settings in which agents are connected by an underlying network, and new “behaviors” spread through this network from neighbor to neighbor. Consider, for example, the way in which people come to believe a rumor if they hear it from enough of their friends; or the way in which people adopt some new piece of technology if enough of their friends have already done so. The stud...

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 . . . . . . . . . . . . . . ....