Book of Proof

This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

• How to Prove It: A Structured Approach, 2nd Edition
• Discrete Mathematics: An Open Introduction
• How to Solve It: A New Aspect of Mathematical Method (Princeton Science Library)
• How to Think About Analysis
• How to Study as a Mathematics Major
• Mathematical Reasoning: Writing and Proof Version 2.1
• Number Theory (Dover Books on Mathematics)
• Concrete Mathematics: A Foundation for Computer Science (2nd Edition)
• Introduction to Graph Theory (Dover Books on Mathematics)
• Mathematical Notation: A Guide for Engineers and Scientists