The Tools of Mathematical Reasoning
Author | : Tamara J. Lakins |
Publisher | : American Mathematical Soc. |
Total Pages | : 233 |
Release | : 2016-09-08 |
ISBN-10 | : 9781470428990 |
ISBN-13 | : 1470428997 |
Rating | : 4/5 (90 Downloads) |
Book excerpt: This accessible textbook gives beginning undergraduate mathematics students a first exposure to introductory logic, proofs, sets, functions, number theory, relations, finite and infinite sets, and the foundations of analysis. The book provides students with a quick path to writing proofs and a practical collection of tools that they can use in later mathematics courses such as abstract algebra and analysis. The importance of the logical structure of a mathematical statement as a framework for finding a proof of that statement, and the proper use of variables, is an early and consistent theme used throughout the book.