Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
A Course in Computational Algebraic Number Theory
.
Bookmark this Record
Catalogue Record 44074
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 44074
.
Reviews
Catalogue Record 44074
.
British Library
Resolver for RSN-44074
Google Scholar
Resolver for RSN-44074
WorldCat
Resolver for RSN-44074
Catalogo Nazionale SBN
Resolver for RSN-44074
GoogleBooks
Resolver for RSN-44074
ICTP Library
Resolver for RSN-44074
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
512.7
Title
A Course in Computational Algebraic Number Theory ([EBook]) / by Henri Cohen.
Author
Cohen, Henri , 1947-
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 1993.
Physical Details
XXI, 536 pages : online resource.
Series
Graduate texts in mathematics
0072-5285 ; ; 138
ISBN
9783662029459
Summary Note
With the advent of powerful computing tools and numerous advances in math ematics, computer science and cryptography, algorithmic number theory has become an important subject in its own right. Both external and internal pressures gave a powerful impetus to the development of more powerful al gorithms. These in turn led to a large number of spectacular breakthroughs. To mention but a few, the LLL algorithm which has a wide range of appli cations, including real world applications to integer programming, primality testing and factoring algorithms, sub-exponential class group and regulator algorithms, etc ... Several books exist which treat parts of this subject. (It is essentially impossible for an author to keep up with the rapid pace of progress in all areas of this subject.) Each book emphasizes a different area, corresponding to the author's tastes and interests. The most famous, but unfortunately the oldest, is Knuth's Art of Computer Programming, especially Chapter 4. The present book has two goals. First, to give a reasonably comprehensive introductory course in computational number theory. In particular, although we study some subjects in great detail, others are only mentioned, but with suitable pointers to the literature. Hence, we hope that this book can serve as a first course on the subject. A natural sequel would be to study more specialized subjects in the existing literature.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-662-02945-9
Links to Related Works
Subject References:
Algebra
.
Algebraic number theory
.
Algorithm Analysis and Problem Complexity
.
Algorithms
.
Mathematics
.
Number Theory
.
Symbolic and Algebraic Manipulation
.
Theory of Computation
.
Authors:
Cohen, Henri 1947-
.
Cohen, Henri, 1947-
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Graduate texts in mathematics
.
GTM
.
Classification:
512.7
.
.
ISBD Display
Catalogue Record 44074
.
Tag Display
Catalogue Record 44074
.
Related Works
Catalogue Record 44074
.
Marc XML
Catalogue Record 44074
.
Add Title to Basket
Catalogue Record 44074
.
Catalogue Information 44074
Beginning of record
.
Catalogue Information 44074
Top of page
.
Download Title
Catalogue Record 44074
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
44074
1
44074
-
2
44074
-
3
44074
-
4
44074
-
5
44074
-
Quick Search
Search for