'Real number r' presentation slideshows

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COMPSCI 102

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The Foundations: Logic and Proofs

The Foundations: Logic and Proofs. Chapter 1, Part III: Proofs. Summary. Proof Methods Proof Strategies. Introduction to Proofs. Section 1.7. Section Summary. Mathematical Proofs Forms of Theorems Direct Proofs Indirect Proofs Proof of the Contrapositive Proof by Contradiction.

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Introduction to Proofs

Introduction to Proofs. Section 1.7. Section Summary. Mathematical Proofs Forms of Theorems Direct Proofs Indirect Proofs Proof of the Contrapositive Proof by Contradiction. Proofs of Mathematical Statements. A proof is a valid argument that establishes the truth of a statement.

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Introduction to the HyperReals

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CS104:Discrete Structures

CS104:Discrete Structures. Chapter 2: Proof Techniques. Introduction to Proofs (In Book: Chapter 1-sec 1.8). Introduction to Proofs. A proof : is a valid argument that establishes the truth of a mathematical statement . There are two types of proofs :

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Discrete Mathematics Lecture 3

Discrete Mathematics Lecture 3. Alexander Bukharovich New York University. Proof and Counterexample. Discovery and proof Even and odd numbers number n from Z is called even if ?k ? Z, n = 2k number n from Z is called odd if ?k ? Z, n = 2k + 1 Prime and composite numbers

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Section 4.2 Direct proof and Counterexample II: Rational numbers

Section 4.2 Direct proof and Counterexample II: Rational numbers. Definition: A real number r is rational if, and only if, it can be expressed as a quotient of two integers with a non-zero denominator. A real number that is not rational is irrational .

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Chapter 4

Chapter 4. Sequences and Mathematical Induction. 4.2. Mathematical Induction. Mathematical Induction. A recent method for proving mathematical arguments. De Morgan is credited with its discovery and and name. The validity of proof by mathematical induction is taken as a axiom.

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Introduction to Proofs

Introduction to Proofs. Introduction to Proofs. A proof is a valid argument that establishes the truth of a statement. Previous section discussed formal proofs Informal proofs are common in math, CS, and other disciplines More than one rule of inference are often used in a step.

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Mathematical Induction

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Discrete Structures

Discrete Structures. Chapter 4: Elementary Number Theory and Methods of Proof 4.2 Direct Proof and Counter Example II: Rational Numbers.

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Chapter 3

Chapter 3. Elementary Number Theory and Methods of Proof. 3.2. Direct Proof and Counterexample 2 Rational Numbers. Rational Numbers. Definition

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