Download or read book The Tools of Mathematical Reasoning written by Tamara J. Lakins and published by American Mathematical Soc.. This book was released on 2016-09-08 with total page 233 pages. Available in PDF, EPUB and Kindle. 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.