Division Algorithm, Induction and Binomial Theorem - Brossura

Libro 4 di 6: Proofs in Number Theory

Cole, Humbert

 
9798872651673: Division Algorithm, Induction and Binomial Theorem

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Sinossi

Learn how to carry out inductive proofs in number theory. We discover theorems by first considering special cases, observing patterns, making conjectures and then proving those conjectures. The approach to teaching is proof-based. Each concept is introduced with precision, definition, notation, and illustrative examples.
The topics treated include the following:

  1. Set theory
  2. Division algorithm
  3. Mathematical induction
  4. Binomial coefficients
  5. Sigma notation
  6. Binomial theorem

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