Division Algorithm, Induction and Binomial Theorem (Proofs in Number Theory) - Tapa blanda

Sinopsis

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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