Mathematical Reasoning: Writing and Proof Version 2.1

by Ted Sundstrom

This title is intended for one-semester courses in Transition to Advanced Mathematics that emphasize the construction and writing of mathematical proofs. Focusing on the formal development of mathematics, this text teaches students how to read and understand mathematical proofs and to construct and write mathematical proofs. Developed as a text for a writing course requirement, issues dealing with writing are addressed directly and practices of good writing are emphasized throughout the text. Active learning is emphasized with preview activities for each section and activities in each section that enable both teachers and students to test understanding and explore ideas in a traditional or non-lecture setting. Elementary number theory and congruence arithmetic are used throughout.

Genres: Mathematics

607 pages, Paperback

First published January 1, 2002

Reviews

[Ace Cassidy · Rating 3 out of 5]

It's nice that it's free, but fails in the same way that most textbooks fail, it won't give you the answers but instead leaves everything as "an exercise for the reader". Students need to see worked examples more than anything else. I don't understand why teachers and textbooks writers seem to feel that working through an example is somehow cheating the students out of the "learning experience" because now they know the answer.

[Philip Gipson · Rating 5 out of 5]

This free textbook is just as good as anything you would pay money for.