Algorithmic Algebraic Number Theory

M. Pohst; H. Zassenhaus

doi:10.1017/CBO9780511661952

Now in paperback, this classic book is addressed to all lovers of number theory. On the one hand, it gives a comprehensive introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. On the other hand many parts go beyond an introduction and make the user familiar with recent research in the field. New methods which have been developed for experimental number theoreticians are included along with new and important results. Both computer scientists interested in higher arithmetic and those teaching algebraic number theory will find the book of value.

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Algorithmic Algebraic Number Theory

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-ix

Acknowledgements
pp x-x

List of symbols used in the text
pp xi-xiv

1 - Basics of constructive algebraic number theory
pp 1-28

2 - The group of an equation
pp 29-176

3 - Methods from the geometry of numbers
pp 177-218

4 - Embedding of commutative orders into the maximal order
pp 219-326

5 - Units in algebraic number fields
pp 327-376

6 - The class group of algebraic number fields
pp 377-426

7 - Recent developments
pp 427-458

Appendix: Numerical tables
pp 459-487

Algorithms
pp 487-487

References
pp 488-492

Index
pp 493-499

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Algorithmic Algebraic Number Theory

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