ABSTRACT

The notion of proof is central to mathematics yet it is one of the most difficult aspects of the subject to teach and master. In particular, undergraduate mathematics students often experience difficulties in understanding and constructing proofs.Understanding Mathematical Proof describes the nature of mathematical proof, explores the various techn

chapter 1|14 pages

Introduction

chapter 2|68 pages

Logic And Reasoning

chapter 3|46 pages

Sets And Functions

chapter 4|46 pages

The Structure Of Mathematical Proofs

chapter 5|64 pages

Finding Proofs

chapter 6|30 pages

Direct Proof: Variations

chapter 7|34 pages

Existence And Uniqueness

chapter 8|30 pages

Mathematical Induction