Introduction to Mathematical Proofs

Product Description

Introduction to Mathematical Proofs helps students develop the necessary skills to write clear correct and concise proofs. Unlike similar textbooks this one begins with logic since it is the underlying language of mathematics and the basis of reasoned arguments. The text then discusses deductive mathematical systems and the systems of natural numbers integers rational numbers and real numbers. It also covers elementary topics in set theory explores various properties of relations and functions and proves several theorems using induction. The final chapters introduce the concept of cardinalities of sets and the concepts and proofs of real analysis and group theory. In the appendix the author…