Algorithmic Algebraic Number Theory

ISBN-13: 9780521596695 / Angielski / Miękka / 1997 / 516 str.

M. Pohst; H. Zassenhaus; G. -C Rota

Opis

This classic book gives a thorough introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. It also provides a comprehensive look at recent research. For experimental number theoreticians, the authors developed new methods and obtained new results of great importance for them. Both computer scientists interested in higher arithmetic and those teaching algebraic number theory will find the book of value.

Spis treści

Preface; List of symbols; 1. Basics of constructive algebraic number theory; 2. The group of an equation; 3. Methods from the geometry of numbers; 4. Embedding of commutative orders into the maximal order; 5. Units in algebraic number fields; 6. The class group of algebraic number fields; Appendix; Algorithms; References; Index.