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A Computational Introduction to Number Theory and …

A Computational Introduction to Number Theoryand Algebra(Version 1)Victor ShoupThis PDF document contains hyperlinks, and one may navigate through itby clicking on theorem, definition, lemma, equation, and page numbers, aswell as URLs, and chapter and section titles in the table of contents; mostPDF viewers should also display a list of bookmarks that allow directaccess to chapters and 2005 by Victor rights reserved. The right to publish or distribute this work inprint formbelongs exclusively toCambridge University Press; however, thiselectronicversionis distributed under the terms and conditions of a Creative Commonslicense (Attribution-NonCommercial-NoDerivs ):You are free to copy, distribute, and display this electronicversion under the following must give the original author may not use this electronic versio

Contents Preface page x Preliminaries xiv 1 Basic properties of the integers 1 1.1 Divisibility and primality 1 1.2 Ideals and greatest common divisors 4

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