Transcription of A Computational Introduction to Number Theory …
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A Computational Introduction to Number Theoryand Algebra(Version 2)Victor ShoupThis PDF document contains hyperlinks, and one may navigate through it by click-ing on theorem, definition, lemma, equation, and page numbers, as well as URLs,and chapter and section titles in the table of contents; most PDF viewers shouldalso display a list of bookmarks that allow direct access to chapters and 2008 by Victor of this work is distributed under the terms and conditions ofa Creative Commons license (Attribution-NonCommercial-NoDerivs ):You are free to copy, distribute, and display the electronic versionof this work under the following must give the original author may not use the electronic version of thiswork for commercial Derivative may not alter, transform, or build uponthe electronic version of this any reuse or distribution, you must make these license termsclear to of these conditions can be waived if you get permission fromthe more information about the license, other rights reserved.
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 5
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