Division Algorithm, Induction and Binomial Theorem (Proofs in Number Theory) - Softcover
Book 4 of 6: Proofs in Number Theory
Synopsis
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:
- Set theory
- Division algorithm
- Mathematical induction
- Binomial coefficients
- Sigma notation
- Binomial theorem
"synopsis" may belong to another edition of this title.