Advanced topics in computational number
β Henri Cohen
π Library
π
1999
π Springer
π English
β¦ LIBER β¦
π
Advanced Topics in Computational Number Theory
β Scribed by Henri Cohen
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Leaves
- 599
- Series
- Graduate texts in mathematics 193
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
Written by an authority with great practical and teaching experience in the field, this book addresses a number of topics in computational number theory. Chapters one through five form a homogenous subject matter suitable for a six-month or year-long course in computational number theory. The subsequent chapters deal with more miscellaneous subjects.
β¦ Table of Contents
Front Matter....Pages i-xv
Fundamental Results and Algorithms in Dedekind Domains....Pages 1-47
Basic Relative Number Field Algorithms....Pages 49-132
The Fundamental Theorems of Global Class Field Theory....Pages 133-162
Computational Class Field Theory....Pages 163-222
Computing Defining Polynomials Using Kummer Theory....Pages 223-295
Computing Defining Polynomials Using Analytic Methods....Pages 297-346
Variations on Class and Unit Groups....Pages 347-387
Cubic Number Fields....Pages 389-428
Number Field Table Constructions....Pages 429-473
Appendix A: Theoretical Results....Pages 475-521
Appendix B: Electronic Information....Pages 523-531
Appendix C: Tables....Pages 533-548
Back Matter....Pages 549-581
β¦ Subjects
complexiteΜ algorithme;corps fini;domaine Dedekind;theΜorie nombre;Nombres, TheΜorie des -- Informatique;Algorithmes;Corps de classe
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