A Course in Computational Algebraic Number Theory (inbunden)
Inbunden (Hardback)
Antal sidor
1st ed. 1993. 4th printing 2000
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Ewing, J.H. (red.)
Mit TabUÜbers
XXI, 536 p.
240 x 165 x 37 mm
960 g
Antal komponenter
1 Hardback
A Course in Computational Algebraic Number Theory (inbunden)

A Course in Computational Algebraic Number Theory

Inbunden Engelska, 1993-08-01
Skickas inom 7-10 vardagar.
Fri frakt inom Sverige för privatpersoner.
Finns även som
Visa alla 2 format & utgåvor
A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. Written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.
Visa hela texten

Passar bra ihop

  1. A Course in Computational Algebraic Number Theory
  2. +
  3. Number Theory

De som köpt den här boken har ofta också köpt Number Theory av Henri Cohen (inbunden).

Köp båda 2 för 1418 kr


Har du läst boken? Sätt ditt betyg »

Recensioner i media

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 Mathematical Association of America, January, 2011)

Bloggat om A Course in Computational Algebraic Numbe...


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.