This manual is offered as an aid in using the fourth edition of Introduction to Real Analysis as a text. Both of us have frequently taught courses from the earlier editions of the text and we share here our experience and thoughts as to how to use the book. We hope our comments will be useful.

We also provide partial solutions for almost all of the exercises in the book. Complete solutions are almost never presented here, but we hope that enough is given so that a complete solution is within reach. Of course, there is more than one correct way to attack a problem, and you may find better proofs for some of these exercises.

We also repeat the graphs that were given in the manual for the previous editions, which were prepared for us by Professor Horacio Porta, whom we wish to thank again.

Robert G. Bartle                                       November 20, 2010
Donald R. Sherbert