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 Title: Number Theory: In Context and Interactive
 Author(s) KarlDieter Crisman
 Publisher: Independently published (Jan. 15 2021); eBook (Creative Commons Licensed, July, 2021)
 License(s): CC BYND 4.0
 Hardcover/Paperback: 477 pages
 eBook: HTML and PDF (510 pages)
 Language(s): English
 ISBN10/ASIN: B08XLGFMNR
 ISBN13: 9798713540685
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Book Description
This is a textbook for an upperlevel (US) number theory course, with a clear vision to expose students to the connections to all areas of mathematics.
There are many exercises, both proofbased and computational, and nearly every concept can be visualized or experimented with using the open source mathematics software SageMath.
The book tackles all standard topics of modular arithmetic, congruences, and prime numbers, including quadratic reciprocity. In addition, there is significant coverage of various cryptographic issues, geometric connections, arithmetic functions, and basic analytic number theory, ending with a beginner's introduction to the Riemann Hypothesis.
Ordinarily this should be enough material for a semester course with no prerequisites other than a prooftransition experience and vaguely remembering some calculus.
About the Authors KarlDieter Crisman is a Professor of Mathematics at Gordon College, Massachusetts, United States.
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