Constructing and Writing Proofs: A Guide for Mathematics Students

by Ted Sundstrom

This little book is not intended to be a textbook for a course dealing with an introduction to constructing and writing mathematical proofs. It is intended to be primarily a reference book for students who need to construct and write proofs in their upper division mathematics courses. So it is assumed that students who use this as a reference have already taken an ``introduction to proofs'' course.With the exception of Chapter 0, each chapter in the book has a description of a proof technique along with some justification as to why it is a valid proof method. There are then one or two completed proofs written according to the writing guidelines for mathematical proofs in an appendix. The intent is to illustrate a well-written proof for that particular proof method. Each chapter then ends with three or four practice problems, most of which deal with mathematical proofs. Completed proofs (or solutions) for the practice problems are contained in an appendix.

Kindle Edition

Published January 24, 2020