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The Real Number System

1

Danielle LeBoeuf

Source:

  1. Combs, Randel, and Gary L. Walls. “Rational Roots of Polynomials with Integer Coefficients.” Mathematics and Computer Education 38.1 (2004): 16-18. Print.
    • I believe that this source will be helpful in explaining and understanding the material in this chapter because it states the rational roots theorem and then proves it multiple different ways
  2. http://mathonline.wikidot.com/the-density-of-real-numbers-theorem
    • I believe that this source will be helpful in explaining what denseness is and, if necessary, providing a proof to help better explain it

Exercises:

  1. http://www.purplemath.com/modules/rtnlroot2.htm
  2. http://www.shmoop.com/precalc-polynomials/rational-root-examples.html
  3. http://math.stackexchange.com/questions/836494/dense-set-examples
  4. https://www.youtube.com/watch?v=tI7tC7lkkic

License

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Introduction to Real Analysis Copyright © by Matt Salomone and Salomone, Matt is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.