AIM Open Textbook Initiative

Approved Textbooks
Open source math textbooks
for undergraduate courses

Evaluation criteria
What the Editorial Board looks for
in evaluating books

Editorial Board
Brief profiles of the
board members

The following book has met the evaluation criteria developed by the AIM Editorial Board.

A Gentle Introduction to the Art of Mathematics
Joseph E. Fields

Digital versions pdf

Latex source Yes

Exercises Yes

Solutions Available for first three chapters so far

License Gnu Free Documentation License

Sophomore level text for an introduction to proofs course
Class tested
Links to faculty and student reviews on book's home page
Print version (464 pages) from Lulu for $27.30
For more information and to download

This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southern Connecticut State University. There are nine chapters and more than enough material for a semester course. Student reviews are favorable.

It is written in an informal, conversational style with a large number of interesting examples and exercises, so that a student learns to write proofs while working on engaging problems.