A Course in Computational Algebraic Number Theory
Title | A Course in Computational Algebraic Number Theory PDF eBook |
Author | Henri Cohen |
Publisher | Springer Science & Business Media |
Total Pages | 556 |
Release | 2013-04-17 |
Genre | Mathematics |
ISBN | 3662029456 |
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.
A Computational Introduction to Number Theory and Algebra
Title | A Computational Introduction to Number Theory and Algebra PDF eBook |
Author | Victor Shoup |
Publisher | Cambridge University Press |
Total Pages | 544 |
Release | 2005-04-28 |
Genre | Computers |
ISBN | 9780521851541 |
This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes.
Computational Number Theory
Title | Computational Number Theory PDF eBook |
Author | Abhijit Das |
Publisher | CRC Press |
Total Pages | 614 |
Release | 2016-04-19 |
Genre | Computers |
ISBN | 1482205823 |
Developed from the author's popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms. Avoiding advanced algebra, this self-contained text is designed for advanced undergraduate and beginning graduate students in engineering. It is also suitable for researchers new to the field and pract
Advanced Topics in Computational Number Theory
Title | Advanced Topics in Computational Number Theory PDF eBook |
Author | Henri Cohen |
Publisher | Springer Science & Business Media |
Total Pages | 591 |
Release | 2012-10-29 |
Genre | Mathematics |
ISBN | 1441984895 |
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.
Algorithmic Number Theory: Efficient algorithms
Title | Algorithmic Number Theory: Efficient algorithms PDF eBook |
Author | Eric Bach |
Publisher | MIT Press |
Total Pages | 536 |
Release | 1996 |
Genre | Computers |
ISBN | 9780262024051 |
Volume 1.
Number Theory for Computing
Title | Number Theory for Computing PDF eBook |
Author | Song Y. Yan |
Publisher | Springer Science & Business Media |
Total Pages | 454 |
Release | 2013-11-11 |
Genre | Computers |
ISBN | 366204773X |
This book provides a good introduction to the classical elementary number theory and the modern algorithmic number theory, and their applications in computing and information technology, including computer systems design, cryptography and network security. In this second edition proofs of many theorems have been provided, further additions and corrections were made.
Computational Excursions in Analysis and Number Theory
Title | Computational Excursions in Analysis and Number Theory PDF eBook |
Author | Peter Borwein |
Publisher | Springer Science & Business Media |
Total Pages | 220 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 0387216529 |
This introduction to computational number theory is centered on a number of problems that live at the interface of analytic, computational and Diophantine number theory, and provides a diverse collection of techniques for solving number- theoretic problems. There are many exercises and open research problems included.