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Discrete Mathematics: An Introduction to Mathematical Reasoning (Brief Edition)

Epp

1st Edition

Susanna Epp's DISCRETE MATHEMATICS: AN INTRODUCTION TO MATHEMATICAL REASONING provides a clear introduction to discrete mathematics and mathematical reasoning in a compact form that focuses on core topics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision, helping students develop the ability to think abstractly as

4-1

Direct Proof and Counterexample I: Introduction

Exercise Set

p.125

4-2

Direct Proof and Counterexample II: Rational Numbers

Exercise Set

p.132

4-3

Direct Proof and Counterexample III: Divisibility

Exercise Set

p.141

4-4

Direct Proof and Counterexample IV: Division into Cases and the Quotient-Remainder Theorem

Exercise Set

p.153

4-5

Indirect Argument: Contradiction and Contraposition

Exercise Set

p.161

4-6

Indirect Argument: Two Classical Theorems

Exercise Set

p.168

5-1

Sequences

Exercise Set

p.183

5-2

Mathematical Induction I

Exercise Set

p.197

5-3

Mathematical Induction II

Exercise Set

p.207

5-4

Strong Mathematical Induction and the Well-Ordering Principle for the Integers

Exercise Set

p.219

5-5

Defining Sequences Recursively

Exercise Set

p.234

5-6

Solving Recurrence Relations by Iteration

Exercise Set

p.246

9-1

Introduction

Exercise Set

p.409

9-2

Possibility Trees and the Multiplication Rule

Exercise Set

p.421

9-3

Counting Elements of Disjoint Sets: The Addition Rule

Exercise Set

p.431

9-4

The Pigeonhole Principle

Exercise Set

p.444

9-5

Counting Subsets of a Set: Combinations

Exercise Set

p.459

9-6

Pascal's Formula and the Binomial Theorem

Exercise Set

p.473