'Unique factorization theorem' presentation slideshows

Chapter 5 Properties of Whole Numbers

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CS322

Week 3 - Wednesday. CS322. Last time. What did we talk about last time? Basic number theory definitions Even and odd Prime and composite Proving existential statements Disproving universal statements. Questions?. Logical warmup.

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Proof Must Have

Proof Must Have. Statement of what is to be proven. "Proof:" to indicate where the proof starts Clear indication of flow Clear indication of reason for each step Careful notation, completeness and order Clear indication of the conclusion I suggest pencil and good erasure when needed.

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Chapter 3

Chapter 3. Elementary Number Theory and Methods of Proof. 3.3. Direct Proof and Counterexample 3 Divisibility. Divisibility. Definition If n and d are integers, then n is divisible by d if, and only if, n = dk for some integers k .

326 views • 14 slides

In this lecture

In this lecture. Number Theory ? Rational numbers ? Divisibility Proofs ? Direct proofs (cont.) ? Common mistakes in proofs ? Disproof by counterexample. Common mistakes in proofs. Arguing from examples Using same letter to mean two different things

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