• Produktbild: A Course in Computational Algebraic Number Theory
  • Produktbild: A Course in Computational Algebraic Number Theory
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A Course in Computational Algebraic Number Theory

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

08.12.2010

Abbildungen

XXI, 536 p.

Verlag

Springer Berlin

Seitenzahl

536

Maße (L/B/H)

23,5/15,5/3 cm

Gewicht

838 g

Sprache

Englisch

ISBN

978-3-642-08142-2

Beschreibung

Rezension

From the reviews:

H. Cohen

A Course in Computational Algebraic Number Theory

"With numerous advances in mathematics, computer science, and cryptography, algorithmic number theory has become an important subject. Undoubtedly, this book, written by one of the leading authorities in the field, is one of the most beautiful books available on the market."

—ACTA SCIENTIARUM MATHEMATICARUM

“This book is intended to provide material for a three-semester sequence, introductory, graduate course in computational algebraic number theory. … The book is excellent. … The book has 75 sections, making it suitable for a three-semester sequence. There are numerous exercises at all levels … . The bibliography is quite comprehensive and therefore has intrinsic value in its own right. … chapters bring the student to the frontiers of the field, covering elliptic curves, modern primality testing and modern factoring methods.” (Russell Jay Hendel, The MathematicalAssociation of America, January, 2011)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

08.12.2010

Abbildungen

XXI, 536 p.

Verlag

Springer Berlin

Seitenzahl

536

Maße (L/B/H)

23,5/15,5/3 cm

Gewicht

838 g

Sprache

Englisch

ISBN

978-3-642-08142-2

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: A Course in Computational Algebraic Number Theory
  • Produktbild: A Course in Computational Algebraic Number Theory
  • 1. Fundamental Number-Theoretic Algorithms.- 2. Algorithms for Linear Algebra and Lattices.- 3. Algorithms on Polynomials.- 4. Algorithms for Algebraic Number Theory I.- 5. Algorithms for Quadratic Fields.- 6. Algorithms for Algebraic Number Theory II.- 7. Introduction to Elliptic Curves.- 8. Factoring in the Dark Ages.- 9. Modern Primality Tests.- 10. Modern Factoring Methods.- Appendix A. Packages for Number Theory.- Appendix B. Some Useful Tables.- B.1. Table of Class Numbers of Complex Quadratic Fields.- B.2. Table of Class Numbers and Units of Real Quadratic Fields.- B.3. Table of Class Numbers and Units of Complex Cubic Fields.- B.4. Table of Class Numbers and Units of Totally Real Cubic Fields.- B.5. Table of Elliptic Curves.