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A Course in Computational Algebraic Number Theory

2013-04-17 Mathematics
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Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 456/5 ( reviews)

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Book Synopsis A Course in Computational Algebraic Number Theory by : Henri Cohen

Download or read book A Course in Computational Algebraic Number Theory written by Henri Cohen. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advanced Topics in Computational Number Theory

2012-10-29 Mathematics
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Release : 2012-10-29
Genre : Mathematics
Kind : eBook
Book Rating : 895/5 ( reviews)

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Book Synopsis Advanced Topics in Computational Number Theory by : Henri Cohen

Download or read book Advanced Topics in Computational Number Theory written by Henri Cohen. This book was released on 2012-10-29. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computational Number Theory

2016-04-19 Computers
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Release : 2016-04-19
Genre : Computers
Kind : eBook
Book Rating : 823/5 ( reviews)

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Book Synopsis Computational Number Theory by : Abhijit Das

Download or read book Computational Number Theory written by Abhijit Das. This book was released on 2016-04-19. Available in PDF, EPUB and Kindle. Book excerpt: 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

Algorithmic Algebraic Number Theory

1997-09-25 Mathematics
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Release : 1997-09-25
Genre : Mathematics
Kind : eBook
Book Rating : 695/5 ( reviews)

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Book Synopsis Algorithmic Algebraic Number Theory by : M. Pohst

Download or read book Algorithmic Algebraic Number Theory written by M. Pohst. This book was released on 1997-09-25. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algebraic Number Theory and Fermat's Last Theorem

2001-12-12 Mathematics
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Release : 2001-12-12
Genre : Mathematics
Kind : eBook
Book Rating : 08X/5 ( reviews)

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Book Synopsis Algebraic Number Theory and Fermat's Last Theorem by : Ian Stewart

Download or read book Algebraic Number Theory and Fermat's Last Theorem written by Ian Stewart. This book was released on 2001-12-12. Available in PDF, EPUB and Kindle. Book excerpt: 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

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