This is a supplement to the author's "Introduction to Real Analysis." It has 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. It may be copied, modified, redistributed, translated, and built upon subject to the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. A complete instructor's solution manual is available by email to firstname.lastname@example.org, subject to verification of the requestor's faculty status.
Trench, William, "The Method of Lagrange Multipliers" (2013). Mathematics Faculty Research. 88.