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Published in:
2015 | OriginalPaper | Chapter
1. A Review of Number Theory and Algebra
Authors : Harald Niederreiter, Arne Winterhof
Published in: Applied Number Theory
Publisher: Springer International Publishing
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Abstract
Elementary number theory may be regarded as a prerequisite for this book, but since we, the authors, want to be nice to you, the readers, we provide a brief review of this theory for those who already have some background on number theory and a crash course on elementary number theory for those who have not. Apart from trying to be friendly, we also follow good practice when we prepare the ground for the coming attractions by collecting some basic notation, terminology, and facts in an introductory chapter, like a playwright who presents the main characters of the play in the first few scenes. Basically, we cover only those results from elementary number theory that are actually needed in this book. For more information, there is an extensive expository literature on number theory, and if you want to read the modern classics, then we recommend the books of Hardy and Wright [61] and of Niven, Zuckerman, and Montgomery [151].