San Antonio, Texas

INTRODUCTION TO REAL ANALYSIS

HYPERTEXT EDITION: DOWNLOAD FREE OF CHARGE

Copyright 2003 (Updated May 2012), William F. Trench, all rights reserved.

This book was previously published by Pearson Education.  This free edition is made available in the hope that it will be useful as a textbook or reference.  Reproduction is permitted for any valid noncommercial educational, mathematical, or scientific purpose.  However, sale of or charges for any part of this book beyond reasonable reproduction costs are prohibited.

A complete solutions manual is available free of charge by request to wtrench@trinity.edu on verification of faculty status.  The author reserves all rights to the manual under the US copyright dated May 4, 2009 (Registration No. TXu 1-634-325).  Recipients are strictly prohibited from transmitting the manual to any third party without explicit permission of the author.  Under US copyright law,

"Uploading or downloading works protected by copyright without the authority of the copyright owner is an infringement of the copyright owner's exclusive rights of reproduction and/or distribution.  Anyone found to have infringed a copyrighted work may be liable for statutory damages up to $30,000 for each work infringed and, if willful infringement is proven by the copyright owner, that amount may be increased up to $150,000 for each work infringed.  In addition, an infringer of a work may also be liable for the attorney's fees incurred by the copyright owner to enforce his or her rights."

Nevertheless, there are websites that purport to provide the manual as a free download.  Without exception, they require credit card information prior to downloading.  A fool and his money are soon parted!

SUPPLEMENT I: FUNCTIONS DEFINED BY IMPROPER INTEGRALS

SUPPLEMENT II: THE METHOD OF LAGRANGE MULTIPLIERS

Complete solutions manuals for the supplements are available free of charge by request to wtrench@trinity.edu on verification of faculty status

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