The following items are available as free downloads subject to the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License http://creativecommons.org/licenses/by-nc-sa/3.0/deed.en_G.
All have been judged to meet the evaluation criteria set by the Editorial Board of the American Institute of Mathematics in connection with the Institute's Open Textbook Initiative. http://www.aimath.org/textbooks/
ELEMENTARY DIFFERENTIAL EQUATIONS http://ramanujan.math.trinity.edu/wtrench/texts/TRENCH_FREE_DIFFEQ_I.PDF, previously published by Brooks/Cole Thomson Learning, 2000.
ELEMENTARY DIFFERENTIAL EQUATIONS WITH BOUNDARY VALUE PROBLEMS, http://ramanujan.math.trinity.edu/wtrench/texts/TRENCH_FREE_DIFFEQ_II.PDF, previously published by Brooks/Cole Thomson Learning, 2000.
STUDENT SOLUTIONS MANUAL FOR ELEMENTARY DIFFERENTIAL EQUATIONS AND ELEMENTARY DIFFERENTIAL EQUATIONS WITH BOUNDARY VALUE PROBLEMS http://ramanujan.math.trinity.edu/wtrench/texts/TRENCH_DE_STUDENT_MANUAL.PDF, previously published by Brooks/Cole Thomson Learning, 2000.
INTRODUCTION TO REAL ANALYSIS http://ramanujan.math.trinity.edu/wtrench/texts/TRENCH_REAL_ANALYSIS.PDF, previously published by Pearson Education, 2003.
Supplements to INTRODUCTION TO REAL ANALYSIS:
FUNCTIONS DEFINED BY IMPROPER INTEGRALS http://ramanujan.math.trinity.edu/wtrench/texts/TRENCH_IMPROPER_FUNCTIONS.PDF, previously published by Harper & Row, 1978.
THE METHOD OF LAGRANGE MULTIPLIERS, http://ramanujan.math.trinity.edu/wtrench/texts/TRENCH_LAGRANGE_METHOD.PDF, previously published by Harper & Row, 1978.
Instructor's solutions manuals are available on request, subject to verification of faculty status.
Please forward this message to colleagues, friends, and students who may be interested.
William F. Trench
Andrew G. Cowles Distinguished Professor Emeritus
Mathematics Department
Trinity University
http://ramanujan.math.trinity.edu/wtrench/index.shtml
It's also informative to note that the source (e.g. $\LaTeX$ files) is not offered here. As David Farmer might point out, this is a useful example that distinguishes a free text from an open-source text. These texts are free, but are not open-source.
If any of you have experience with these texts or can provide additional information, please leave a comment.
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