Introduction to Mathematical Proof: A Transition to Advanced Mathematics

by Charles E. Roberts Jr.

This book is designed to prepare students for higher mathematics by focusing on the development of theorems and proofs. Beginning with logic, the text discusses deductive mathematical systems and the systems of natural numbers, integers, rational numbers, and real numbers. It 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.

Genres: Mathematics

416 pages, Hardcover

First published June 24, 2009

Reviews

[Shubham Kumar · Rating 4 out of 5]

Nice elegant book on foundation. Not so much rigorous.