Algorithmic Algebraic Number Theory

This book is addressed to all lovers of number theory.

Klappentext
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.

Zusammenfassung
Classic book, addressed to all lovers of number theory. A comprehensive introduction to constructive algebraic number theory and suitable as a textbook on this subject. Recent research in the field also described. Valuable to computer scientists interested in higher arithmetic and those teaching algebraic number theory.

Inhalt
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.

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