ABSTRACT

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 num

chapter 1|60 pages

Logic

chapter 2|56 pages

Deductive Mathematical Systems and Proofs

chapter 3|42 pages

Set Theory

chapter 4|36 pages

Relations

chapter 5|36 pages

Functions

chapter 6|16 pages

Mathematical Induction

chapter 7|22 pages

Cardinalities of Sets

chapter 8|24 pages

Proofs from Real Analysis

chapter 9|20 pages

Proofs fromGroup Theory