A Course In Computational Algebraic Number Theory
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| Author | : Henri Cohen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 556 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 3662029456 |
Download A Course in Computational Algebraic Number Theory Book in PDF, Epub and Kindle
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.
| Author | : Henri Cohen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 591 |
| Release | : 2012-10-29 |
| Genre | : Mathematics |
| ISBN | : 1441984895 |
Download Advanced Topics in Computational Number Theory Book in PDF, Epub and Kindle
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.
| Author | : Victor Shoup |
| Publisher | : Cambridge University Press |
| Total Pages | : 544 |
| Release | : 2005-04-28 |
| Genre | : Computers |
| ISBN | : 9780521851541 |
Download A Computational Introduction to Number Theory and Algebra Book in PDF, Epub and Kindle
This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes.
| Author | : M. Pohst |
| Publisher | : Cambridge University Press |
| Total Pages | : 520 |
| Release | : 1997-09-25 |
| Genre | : Mathematics |
| ISBN | : 9780521596695 |
Download Algorithmic Algebraic Number Theory Book in PDF, Epub and Kindle
Now in paperback, this classic book is addresssed to all lovers of number theory. On the one hand, it gives a comprehensive introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. On the other hand many parts go beyond an introduction an make the user familliar with recent research in the field. For experimental number theoreticians new methods are developed and new results are obtained which are of great importance for them. Both computer scientists interested in higher arithmetic and those teaching algebraic number theory will find the book of value.
| Author | : Abhijit Das |
| Publisher | : CRC Press |
| Total Pages | : 614 |
| Release | : 2016-04-19 |
| Genre | : Computers |
| ISBN | : 1482205823 |
Download Computational Number Theory Book in PDF, Epub and Kindle
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
| Author | : H. P. F. Swinnerton-Dyer |
| Publisher | : Cambridge University Press |
| Total Pages | : 164 |
| Release | : 2001-02-22 |
| Genre | : Mathematics |
| ISBN | : 9780521004237 |
Download A Brief Guide to Algebraic Number Theory Book in PDF, Epub and Kindle
Broad graduate-level account of Algebraic Number Theory, first published in 2001, including exercises, by a world-renowned author.
| Author | : Neal Koblitz |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 245 |
| Release | : 2012-09-05 |
| Genre | : Mathematics |
| ISBN | : 1441985921 |
Download A Course in Number Theory and Cryptography Book in PDF, Epub and Kindle
This is a substantially revised and updated introduction to arithmetic topics, both ancient and modern, that have been at the centre of interest in applications of number theory, particularly in cryptography. As such, no background in algebra or number theory is assumed, and the book begins with a discussion of the basic number theory that is needed. The approach taken is algorithmic, emphasising estimates of the efficiency of the techniques that arise from the theory, and one special feature is the inclusion of recent applications of the theory of elliptic curves. Extensive exercises and careful answers are an integral part all of the chapters.
| Author | : Ian Stewart |
| Publisher | : CRC Press |
| Total Pages | : 334 |
| Release | : 2001-12-12 |
| Genre | : Mathematics |
| ISBN | : 143986408X |
Download Algebraic Number Theory and Fermat's Last Theorem Book in PDF, Epub and Kindle
First published in 1979 and written by two distinguished mathematicians with a special gift for exposition, this book is now available in a completely revised third edition. It reflects the exciting developments in number theory during the past two decades that culminated in the proof of Fermat's Last Theorem. Intended as a upper level textbook, it
| Author | : Emil Artin |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 366 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 0821840754 |
Download Algebraic Numbers and Algebraic Functions Book in PDF, Epub and Kindle
Originated from the notes of a course given at Princeton University in 1950-1951, this text offers an introduction to algebraic numbers and algebraic functions. It starts with the general theory of valuation fields, proceeds to the local class field theory, and then to the theory of function fields in one variable.
| Author | : Robert B. Ash |
| Publisher | : Courier Corporation |
| Total Pages | : 130 |
| Release | : 2010-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486477541 |
Download A Course in Algebraic Number Theory Book in PDF, Epub and Kindle
This text for a graduate-level course covers the general theory of factorization of ideals in Dedekind domains as well as the number field case. It illustrates the use of Kummer's theorem, proofs of the Dirichlet unit theorem, and Minkowski bounds on element and ideal norms. 2003 edition.
